Christian Constanda  MS PhD DSc
The Charles W. Oliphant Endowed Chair in Mathematical Sciences

LIST OF PUBLICATIONS

BOOKS

  1. Relay Control Systems, Cambridge University Press, Cambridge, 1984 (translated from the Russian).
  2. A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation, Longman/ Wiley, Harlow–New York, 1990.
  3. Integral Methods in Science and Engineering, Longman/Wiley, Harlow–New York, 1994 (editor).
  4. Encyclopedia of Mathematical Sciences, vol. 65, Springer, Heidelberg, 1996 (translated from the Russian).
  5. Integral Methods in Science and Engineering, vol. 1: Analytic Methods, Addison Wesley Longman, Harlow–New York, 1997 (editor, with J. Saranen and S. Seikkala).
  6. Integral Methods in Science and Engineering, vol. 2: Approximation Methods, Addison Wesley Longman, Harlow–New York, 1997 (editor, with J. Saranen and S. Seikkala).
  7. Analysis, Numerics and Applications of Differential and Integral Equations, Addison Wesley Longman, Harlow–New York, 1997 (editor, with M. Bach, G.C. Hsiao, A.M. Sändig, and P. Werner).
  8. Direct and Indirect Boundary Integral Equation Methods, Chapman & Hall/CRC, Boca Raton, FL, 1999.
  9. Integral Methods in Science and Engineering, Chapman & Hall/CRC, Boca Raton, 2000 (editor, with B. Bertram and A. Struthers).
  10. Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation, Chapman & Hall/CRC, Boca Raton, FL, 2000 (with I. Chudinovich).
  11. Solution Techniques for Elementary Partial Differential Equations, Chapman & Hall/CRC, Boca Raton, FL, 2002.
  12. Integral Methods in Science and Engineering, Birkhäuser, Boston, 2002 (editor, with P. Schiavone and A. Mioduchowski).
  13. Integral Methods in Science and Engineering: Analytic and Numerical Methods, Birkhäuser, Boston, 2004 (editor, with M. Ahues and A. Largillier).
  14. Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes, Springer, London, 2004 (with I. Chudinovich).
  15. Integral Methods in Science and Engineering: Theoretical and Practical Aspects, Birkhäuser, Boston, 2006 (editor, with Z. Nashed and D. Rollins).
  16. Integral Methods in Science and Engineering: Techniques and Applications, Birkhäuser, Boston, 2008 (editor, with S. Potapenko).
  17. Dude, Can You Count? Stories, Challenges, and Adventures in Mathematics, Springer, London, 2009.
  18. Integral Methods in Science and Engineering, vol. 1: Analytic Methods, Birkhäuser, Boston, 2010 (editor, with M.E. Pérez).
  19. Integral Methods in Science and Engineering, vol. 2: Computational Methods, Birkhäuser, Boston, 2010 (editor, with M.E. Pérez).
  20. Solution Techniques for Elementary Partial Differential Equations, 2nd ed., Chapman & Hall/CRC Press, Boca Raton, FL, 2010.
  21. Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis, Birkhäuser, Boston, 2011 (with G.R. Thomson).
  22. Integral Methods in Science and Engineering: Computational and Analytic Aspects, Birkhäuser, Boston, 2011 (editor, with P.J. Harris).
  23. Differential Equations: A Primer for Scientists and Engineers, Springer, New York, 2013.
  24. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques, Birkhäuser, New York, 2013 (editor, with B.E.J. Bodmann and H.F. de Campos Velho).
  25. Mathematical Methods for Elastic Plates, Springer, London, 2014.
  26. Bending of Plates on an Elastic Foundation, Springer (in preparation) (with D.R. Doty and W. Hamill).
  27. Solution Techniques for Elementary Partial Differential Equations, 3rd ed., Chapman & Hall/CRC Press (in preparation).

JOURNAL PAPERS AND BOOK CHAPTERS

  1. La déformation des coques élastiques micropolaires, An. Stiint. Univ. Al.I. Cuza Iasi Sect. Ia Mat. 20 (1974), 209–217.
  2. Existence and uniqueness in the theory of micropolar elasticity, Stud. Cerc. Mat. 25 (1974), 1075–1093.
  3. Existence of the solution to a dynamic problem in micropolar elasticity, Stud. Cerc. Mat. 26 (1974), 1197–1208.
  4. On the bending of micropolar plates, Lett. Appl. Engrg. Sci. 2 (1974), 329–339.
  5. Sur la flexion des plaques élastiques micropolaires, C.R. Acad. Sci. Paris Sér. A 278 (1974), 1267–1269.
  6. Complex variable treatment of bending of micropolar plates, Internat. J. Engrg. Sci. 15 (1977), 661–669.
  7. Su l’esistenza della soluzione per la flessione delle piastre elastiche micropolari, Rend. Sem. Mat. Univ. Padova 58 (1977), 149–153.
  8. Some comments on the integration of certain systems of partial differential equations in continuum mechanics, J. Appl. Math. Phys. 29 (1978), 835–839.
  9. On the stability of the generalized solution of a certain class of evolution equations, Bull. Polish Acad. Sci. Math. 27 (1979), 345–348.
  10. A generalization of the stability concept, Libertas Math. 1 (1981), 165–172.
  11. Bending of thin plates in the theory of elastic mixtures, Arch. Mech. 33 (1981), 3–10.
  12. Bending of thin plates in mixture theory, Acta Mech. 40 (1981), 109–115.
  13. Wave propagation in thin plates of elastic mixtures, in Applied Mathematical Analysis: Vibration Theory, Shiva Publishing, Nantwich, 1982, pp. 16–22.
  14. Sur les formules de Betti et de Somigliana dans la flexion des plaques élastiques, C.R. Acad. Sci. Paris Sér. I 300 (1985), 157–160.
  15. The boundary integral equation method in the problem of bending of thin plates, Libertas Math. 5 (1985), 85–101.
  16. Bending of elastic plates, in Integral Methods in Science and Engineering, Hemisphere, Washington, DC, 1986, pp. 340–348.
  17. Existence and uniqueness in the theory of bending of elastic plates, Proc. Edinburgh Math. Soc. 29 (1986), 47–56.
  18. Fonctions de tension dans un problème de la théorie de l’élasticité, C.R. Acad. Sci. Paris Sér. II 303 (1986), 1405–1408.
  19. A problem with moments in elasticity theory, in Proceedings of the Third Conference on Applied Mathematics, Edmond, OK, 1987, pp. 111–118.
  20. Uniqueness in the theory of bending of elastic plates, Internat. J. Engrg. Sci. 25 (1987), 455–462.
  21. On complex potentials in elasticity theory, Acta Mech. 72 (1988), 161–171.
  22. Asymptotic behaviour of the solution of bending of a thin infinite plate, J. Appl. Math. Phys. 39 (1988), 852–860.
  23. Existence theorems in the theory of bending of micropolar plates, Internat. J. Engrg. Sci. 27 (1989), 463–468 (with P. Schiavone).
  24. Differentiability of the solution of a system of singular integral equations in elasticity, Appl. Anal. 34 (1989), 183–193.
  25. Potentials with integrable density in the solution of bending of thin plates, Appl. Math. Lett. 2 (1989), 221–223.
  26. Uniqueness in the elastostatic problem of bending of micropolar plates, Arch.Mech. 41 (1989), 781–787 (with P. Schiavone).
  27. Smoothness of elastic potentials in the theory of bending of thin plates, J. Appl. Math. Mech. 70 (1990), 144–147.
  28. Complete systems of functions for the exterior Dirichlet and Neumann problems in the theory of Mindlin type plates, Appl. Math. Lett. 3 (1990), no. 2, 21–23.
  29. The rigorous solution of the classical theory of plates, in Integral Methods in Science and Engineering, Hemisphere, Washington, DC, 1991, pp. 184–190.
  30. On Kupradze’s method of approximate solution in linear elasticity, Bull. Polish Acad. Sci. Math. 39 (1991), 201–204.
  31. Numerical approximation in the theory of plates with transverse shear deformation, in Proceedings of the Sixth European Conference on Mathematics in Industry, Teubner, Stuttgart, 1992, pp. 129–132.
  32. On the solution of the Dirichlet problem for the two-dimensional Laplace equation, Proc. Amer. Math. Soc. 119 (1993), 877–884.
  33. Oscillation problems in thin plates with transverse shear deformation, SIAM J. Appl. Math. 53 (1993), 1253–1263 (with P. Schiavone).
  34. On a numerical algorithm for approximating the solution in the theory of Mindlin plates, Libertas Math. 13 (1993), 69–76 (with D. Constanda).
  35. Sur le problème de Dirichlet dans la déformation plane, C.R. Acad. Sci. Paris Sér. I 316 (1993), 1107–1109.
  36. Solution of the plate equations by means of modified potentials, in Integral Methods in Science and Engineering, Addison Wesley Longman, Harlow–New York, 1994, pp. 133–145.
  37. Flexural waves in Mindlin type plates, J. Appl. Math. Mech. 74 (1994), 492–493 (with P. Schiavone).
  38. On non-unique solutions of weakly singular integral equations in plane elasticity, Quart. J. Mech. Appl. Math. 47 (1994), 261–268.
  39. Wave propagation in thin crystal plates, Internat. J. Engrg. Sci. 32 (1994), 715–717 (with M.E. Pérez).
  40. On integral solutions of the equations of thin plates, Proc. Roy. Soc. London Ser. A 444 (1994), 317–323.
  41. The rigorous solution of plane elastic strain, in Proceedings of CANCAM95, vol. 1, University of Victoria Press, 1995, pp. 180–181.
  42. On the bending of plates with transverse shear deformation and mixed periodic boundary conditions, Math. Methods Appl. Sci. 18 (1995), 337–344 (with M. Lobo and M.E. Pérez).
  43. The boundary integral equation method in plane elasticity, Proc. Amer. Math. Soc. 123 (1995), 3385–3396.
  44. Integral equations of the first kind in plane elasticity, Quart. Appl. Math. 53 (1995), 783–793.
  45. On the direct and indirect methods in the theory of elastic plates, Math. Mech. Solids 1 (1996), 251–260.
  46. Unique solution in the theory of elastic plates, C.R. Acad. Sci. Paris Sér. I 323 (1996), 95–99.
  47. Robin-type conditions in plane strain, in Integral Methods in Science and Engineering, vol. 1: Analytic Methods, Addison Wesley Longman, Harlow–New York, 1997, pp. 55–59.
  48. On stationary oscillations in bending of plates, in Integral Methods in Science and Engineering, vol. 1: Analytic Methods, Addison Wesley Longman, Harlow–New York, 1997, pp. 190–194 (with G.R. Thomson).
  49. A comparison of integral methods in plate theory, in Analysis, Numerics and Applications of Differential and Integral Equations, Addison Wesley Longman, Harlow–New York, 1997, pp. 64–68.
  50. Fredholm equations of the first kind in the theory of bending of elastic plates, Quart. J. Mech. Appl. Math. 50 (1997), 85–96.
  51. On the Dirichlet problem for the biharmonic equation, Math. Methods Appl. Sci. 20 (1997), 885–890.
  52. On boundary value problems associated with Newton’s law of cooling, Appl. Math. Lett. 10 (1997), no. 5, 55–59.
  53. Elastic boundary conditions in the theory of plates, Math. Mech. Solids 2 (1997), 189–197.
  54. Weak solutions of interior boundary value problems for plates with transverse shear deformation, IMA J. Appl. Math. 59 (1997), 85–94 (with I. Chudinovich).
  55. Radiation conditions and uniqueness for stationary oscillations in elastic plates, Proc. Amer. Math. Soc. 126 (1998), 827–834.
  56. Composition formulae for boundary operators, SIAM Rev. 40 (1998), 128–132.
  57. Representation theorems for the solutions of high frequency harmonic oscillations in elastic plates, Appl. Math. Lett. 11 (1998), no. 5, 55–59 (with G.R. Thomson).
  58. Variational treatment of exterior boundary value problems for thin elastic plates, IMA J. Appl. Math. 61 (1998), 141–153 (with I. Chudinovich).
  59. Area potentials for thin plates, An. Stiint. Al.I. Cuza Univ. Iasi Sect. Ia Mat. 44 (1998), 235–244 (with G.R. Thomson).
  60. Scattering of high frequency flexural waves in thin plates, Math. Mech. Solids 4 (1999), 461–479 (with G.R. Thomson).
  61. Non-stationary integral equations for elastic plates, C.R. Acad. Sci. Paris Sér. I 329 (1999), 1115–1120 (with I. Chudinovich).
  62. Displacement-traction boundary value problems for elastic plates with transverse shear deformation, J. Integral Equations Appl. 11 (1999), 421–436 (with I. Chudinovich).
  63. Existence and integral representations of weak solutions for elastic plates with cracks, J. Elasticity 55 (1999), 169–191 (with I. Chudinovich).
  64. Integral representations of the solution for a plate on an elastic foundation, Acta Mech. 139 (2000), 33–42 (with I. Chudinovich).
  65. Existence and uniqueness of weak solutions for a thin plate with elastic boundary conditions, Appl. Math. Lett. 13 (2000), no. 3, 43–49 (with I. Chudinovich).
  66. Solvability of initial boundary value problems in bending of plates, J. Appl. Math. Phys. 51 (2000), 449–466 (with I. Chudinovich).
  67. Time-dependent bending of plates with transverse shear deformation, in Integral Methods in Science and Engineering, Chapman & Hall/CRC, Boca Raton, FL, 2000, pp. 84–89 (with I. Chudinovich).
  68. Stationary oscillations of elastic plates with Robin boundary conditions, in Integral Methods in Science and Engineering, Chapman & Hall/CRC, Boca Raton, FL, 2000, pp. 316–321 (with G.R. Thomson).
  69. Boundary integral equations for multiply connected plates, J. Math. Anal. Appl. 244 (2000), 184–199 (with I. Chudinovich).
  70. Solution of bending of elastic plates by means of area potentials, J. Appl. Math. Mech. 80 (2000), 547–553 (with I. Chudinovich).
  71. The Cauchy problem in the theory of plates with transverse shear deformation, Math. Models Methods Appl. Sci. 10 (2000), 463–477 (with I. Chudinovich).
  72. The classical approach to dual methods for plates, Quart. J. Mech. Appl. Math. 53 (2000), 497–510 (with I. Chudinovich and A. Koshchii).
  73. Combined displacement-traction boundary value problems for elastic plates, Math. Mech. Solids 6 (2001), 175–191 (with I. Chudinovich).
  74. The solvability of boundary integral equations for the Dirichlet and Neumann problems in the theory of thin elastic plates, Math. Mech. Solids 6 (2001), 269–279 (with I. Chudinovich).
  75. The transmission problem in bending of plates with transverse shear deformation, IMA J. Appl. Math. 66 (2001), 215–229 (with I. Chudinovich).
  76. Freedericksz transitions in circular toroidal layers of Smectic C liquid crystal, IMA J. Appl. Math. 66 (2001), 387–409 (with J.E. Kidd and I.W. Stewart).
  77. An initial boundary value problem for elastic plates, in Integral Methods in Science and Engineering, Birkhäuser, Boston, 2002, pp. 63–68 (with K. Ruotsalainen).
  78. Connection between liquid crystal theory and the theory of plates, in Integral Methods in Science and Engineering, Birkhäuser, Boston, 2002, pp. 137–142 (with J.E. Kidd, I.W. Stewart, and J.A. Mackenzie).
  79. An enhanced theory of bending of plates, in Integral Methods in Science and Engineering, Birkhäuser, Boston, 2002, pp. 191–196 (with R. Mitric).
  80. Dynamic transmission problems for plates, J. Appl. Math. Phys. 53 (2002), 1060–1074 (with I. Chudinovich).
  81. Boundary integral equations in dynamic problems for elastic plates, J. Elasticity 68 (2002), 73–94 (with I. Chudinovich).
  82. Time dependent boundary integral equations for multiply connected plates, IMA J. Appl. Math. 68 (2003), 507–522 (with I. Chudinovich).
  83. Integral representations for the solution of dynamic bending of a plate with displacement–traction boundary data, Georgian Math. J. 10 (2003), 467–480 (V.D. Kupradze memorial volume) (with I. Chudinovich).
  84. Boundary integral equations in dynamic contact problems for plates, Visnik Kharkiv. Nats. Univ. Ser. Mat. Model. Inform. Tekh. Avtomat. Sist. Upravl. 590 (2003), 240–243 (with I. Chudinovich).
  85. A matrix of fundamental solutions for stationary oscillations of thermoelastic plates, Izv. Vyssh. Uchebn. Zaved. Sev.-Kavk. Reg. Estestv. Nauki 2003 (special issue), 77–82 (with G.R. Thomson).
  86. Time-dependent bending of a plate with mixed boundary conditions, in Integral Methods in Science and Engineering: Analytic and Numerical Techniques, Birkhäuser, Boston, 2004, pp. 41–46 (with I. Chudinovich).
  87. Analytic solution for an enhanced theory of bending of plates, in Integral Methods in Science and Engineering: Analytic and Numerical Techniques, Birkhäuser, Boston, 2004, pp. 151–156 (with R. Mitric).
  88. Non-stationary boundary equations for plates with transverse shear deformation and elastic articulation of the boundary, Acta Mech. 167 (2004), 91–100 (with I. Chudinovich and E.A. Gómez).
  89. Weak solutions for time dependent boundary integral equations associated with the bending of elastic plates under combined boundary data, Math. Methods Appl. Sci. 27 (2004), 769–780 (with I. Chudinovich and E.A. Gómez).
  90. Boundary integral equations for thermoelastic plates, in Advances in Computational and Experimental Engineering and Science, Tech. Science Press, 2004, pp. 183–188 (with I. Chudinovich).
  91. The Cauchy problem in the theory of thermoelastic plates with transverse shear deformation, J. Integral Equations Appl. 16 (2004), 321–342 (with I. Chudinovich and J. Colín Venegas).
  92. On the Laplace transform of a matrix of fundamental solutions for thermoelastic plates, J. Engng. Math. 51 (2005), 199–209 (with I. Chudinovich and O. Dolberg).
  93. Solvability of boundary integral equations arising in bending of thin thermoelastic plates, in Proceedings of the Twelfth International Symposium on Discrete Singularity Methods in Problems of Mathematical Physics, Khar’kov–Kherson, 2005, pp. 377–380 (with I. Chudinovich).
  94. The Cauchy problem in the bending of thermoelastic plates, in Integral Methods in Science and Engineering: Theoretical and Practical Aspects, Birkhäuser, Boston, 2006, pp. 29–35 (with I. Chudinovich).
  95. Mixed initial boundary value problems for thermoelastic plates, in Integral Methods in Science and Engineering: Theoretical and Practical Aspects, Birkhäuser, Boston, 2006, pp. 37–45 (with I. Chudinovich).
  96. A contact problem for a convection diffusion equation, in Integral Methods in Science and Engineering: Theoretical and Practical Aspects, Birkhäuser, Boston, 2006, pp. 235–244 (with S. Pomeranz and G. Lewis).
  97. Iterative solution of a singular convection-diffusion perturbation problem, J. Appl.Math. Phys. 56 (2005), 890–907 (with S. Pomeranz and G. Lewis).
  98. Integration of an equilibrium system in an enhanced theory of bending of elastic plates, J. Elasticity 81 (2005), 63–74 (with R. Mitric).
  99. Solvability of initial boundary value problems for bending of thermoelastic plates with mixed boundary conditions, J. Math. Anal. Appl. 311 (2005), 357–376 (with I. Chudinovich and J. Colín Venegas).
  100. Direct and inverse problems for thermoelastic plates. I. The study of bending, in Proceedings of the Fifth International Conference on Inverse Problems in Engineering: Theory and Practice, vol. I, Leeds Univ. Press, Leeds, 2005, C04 (with I. Chudinovich).
  101. Dual methods for sensor testing of industrial containers. I. The classical approach, in Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 71–73 (with I. Chudinovich and A. Koshchii).
  102. Dual methods for sensor testing of industrial containers. II. A nonclassical approach, in Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 74–76 (with I. Chudinovich, D. Doty, and A. Koshchii).
  103. Integral methods for mechanical sensor design and performance testing in plates with transverse shear deformation and transverse normal strain, in Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 77–80 (with R. Mitric and P. Schiavone).
  104. Potential representations of solutions for dynamic bending of elastic plates weakened by cracks, Math. Mech. Solids 11 (2006), 494–512 (with I. Chudinovich).
  105. Nonclassical dual methods in equilibrium problems for thin elastic plates, Quart. J. Mech. Appl. Math. 59 (2006), 125–137 (with I. Chudinovich, D. Doty, and A. Koshchii).
  106. On the Cauchy problem for thermoelastic plates, Math. Methods Appl. Sci. 29 (2006), 625–636 (with I. Chudinovich and J. Colín Venegas).
  107. Boundary integral equation methods for a refined model of elastic plates, Math. Mech. Solids 11 (2006), 642–654 (with R. Mitric).
  108. The direct method in time-dependent bending of thermoelastic plates, Applicable Anal. 86 (2007), 315–329 (with I. Chudinovich and L.A. Aguilera Cortès).
  109. On a boundary value problem for the plane deformation of a thin plate on an elastic foundation, in Proceedings of the Thirteenth International Symposium on Methods of Discrete Singularities in Problems of Mathematical Physics, Khar’kov-Kherson, 2007, pp. 358–361 (with I. Chudinovich, D. Doty, W. Hamill, and S. Pomeranz).
  110. Layer potentials in thermodynamic bending of elastic plates, in Integral Methods in Science and Engineering: Techniques and Applications, Birkhäuser, Boston, 2008, pp. 63–73 (with I. Chudinovich).
  111. Direct methods in the theory of thermoelastic plates, in Integral Methods in Science and Engineering: Techniques and Applications, Birkhäuser, Boston, 2008, pp. 75–81 (with I. Chudinovich).
  112. The Dirichlet problem for the plane deformation of a thin plate on an elastic foundation, in Integral Methods in Science and Engineering: Techniques and Applications, Birkhäuser, Boston, 2008, pp. 83–88 (with I. Chudinovich, D. Doty, W. Hamill, and S. Pomeranz).
  113. Boundary integral equations in time-dependent bending of thermoelastic plates, J. Math. Anal. Appl. 339 (2008), 1024–1043 (with I. Chudinovich).
  114. Smoothness properties of Newtonian potentials in the study of elastic plates, Applicable Anal. 87 (2008), 349–361 (with G.R. Thomson).
  115. Contact problems in bending of elastic plates, in Advances in Computational and Experimental Engineering and Sciences, Tech. Science Press, 2008, pp. 159–165 (with I. Chudinovich).
  116. The displacement initial boundary value problem for bending of thermoelastic plates weakened by cracks, J. Math. Anal. Appl. 348 (2008), 286–297 (with I. Chudinovich).
  117. Boundary integral equations in bending of thermoelastic plates with mixed boundary conditions, J. Integral Equations Appl. 20 (2008), 311–336 (with I. Chudinovich).
  118. A matrix of fundamental solutions in the theory of plate oscillations, Appl. Math. Letters 22 (2009), 707–711 (with G.R. Thomson).
  119. The eigenfrequencies of the Dirichlet and Neumann problems for an oscillating finite plate, Math. Mech. Solids 14 (2009), 667–678 (with G.R. Thomson).
  120. Integral equation methods for the Robin problem in stationary oscillations of elastic plates, IMA J. Appl. Math. 74 (2009), 548–558 (with G.R. Thomson).
  121. The traction initial boundary value problem for bending of thermoelastic plates with cracks, Applicable Anal. 88 (2009), 961–975 (with I. Chudinovich).
  122. Boundary integral equations for thermoelastic plates with cracks, Math. Mech. Solids 15 (2010), 96–113 (with I. Chudinovich).
  123. Contact problems in bending of thermoelastic plates, in Integral Methods in Science and Engineering, vol. 1: Analytic Methods, Birkhäuser, Boston, 2010, pp. 115–122 (with I. Chudinovich).
  124. Solution estimates in classical bending of plates, in Integral Methods in Science and Engineering, vol. 2: Computational Methods, Birkhäuser, Boston, 2010, pp. 113–120 (with I. Chudinovich, D. Doty, and A. Koshchii).
  125. Boundary integral equations for bending of thermoelastic plates with transmission boundary conditions, Math. Methods Appl. Sci. 33 (2010), 117–124 (with I. Chudinovich).
  126. Transmission problems for thermoelastic plates with transverse shear deformation, Math. Mech. Solids 15 (2010), 491–511 (with I. Chudinovich).
  127. The Dirichlet problem for a plate on an elastic foundation, Libertas Math. 30 (2010), 81–84 (with I. Chudinovich, D. Doty, W. Hamill, and S. Pomeranz).
  128. The direct method for harmonic oscillations of elastic plates with Robin boundary conditions, Math. Mech. Solids 16 (2010), 200–207 (with G.R. Thomson).
  129. Uniqueness of solution in the Robin problem for high frequency vibrations of elastic plates, Appl. Math. Lett. 24 (2011), 577–581 (with G.R. Thomson).
  130. Thermoelastic plates with arc-shaped cracks, in Integral Methods in Science and Engineering: Computational and Analytic Aspects, Birkhäuser, Boston, 2011, pp. 129–140 (with I. Chudinovich).
  131. Bilateral estimates for the solutions of boundary value problems in Kirchhoff’s theory of thin plates, Applicable Anal. 91 (2012), 1661–1674 (with I. Chudinovich, D. Doty, and A. Koshchii).
  132. The null-field equations for flexural oscillations of elastic plates, Math. Methods Appl. Sci. 35 (2012), 510519 (with G.R. Thomson).
  133. Integral equations of the first kind in the theory of oscillating plates, Applicable Anal. 91 (2012), 2235–2244 (with G.R. Thomson).
  134. Uniqueness of analytic solutions for stationary plate oscillations in an annulus, Appl. Math. Lett. 25 (2012), 1050–1055 (with G.R. Thomson).
  135. The transmission problem for harmonic oscillations of thin plates, IMA J. Appl. Math. 78 (2013), 132–145 (with G.R. Thomson).
  136. Modified integral equation method for stationary plate oscillations, in Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques, Birkhäuser, New York, 2013, pp. 297–309 (with G.R. Thomson).
  137. Nonstandard integral equations for the harmonic oscillations of thin plates, in Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques, Birkhäuser, New York, 2013, pp. 311–328 (with G.R. Thomson).