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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 12
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Original Articles

Integral equations of the first kind in the theory of oscillating plates

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Pages 2235-2244 | Received 28 Apr 2011, Accepted 14 Jun 2011, Published online: 14 Jul 2011

References

  • Thomson , GR and Constanda , C . 2011 . Nonstandard integral equations for the harmonic oscillations of thin plates , Vol. 30 , Department of Mathematics and Computer Science, University of Tulsa . (preprint)
  • Constanda , C . 1994 . On integral solutions of the equations of thin plates . Proc. Roy. Soc. London Ser. A , 444 : 317 – 323 .
  • Constanda , C . 1996 . Unique solution in the theory of elastic plates . C.R. Acad. Sci. Paris Sér. I , 323 : 95 – 99 .
  • Constanda , C . 1997 . Fredholm equations of the first kind in the theory of bending of elastic plates . Quart. J. Mech. Appl. Math. , 50 : 85 – 96 .
  • Schiavone , P and Constanda , C . 1993 . Oscillation problems in thin plates with transverse shear deformation . SIAM J. Appl. Math. , 53 : 1253 – 1263 .
  • Thomson , GR and Constanda , C . 2009 . A matrix of fundamental solutions in the theory of plate oscillations . Appl. Math. Lett. , 22 : 707 – 711 .
  • Thomson , GR and Constanda , C . 1998 . Area potentials for thin plates . An. Stiint. Al.I. Cuza Univ. Iasi Sect. Ia Mat. , 44 : 235 – 244 .
  • Constanda , C . 1998 . Radiation conditions and uniqueness for stationary oscillations in elastic plates . Proc. Am. Math. Soc. , 126 : 827 – 834 .
  • Thomson , GR and Constanda , C . 2011 . Uniqueness of solution for the Robin problem in high-frequency vibrations of elastic plates . Appl. Math. Lett. , 24 : 577 – 581 .
  • Thomson , GR and Constanda , C . 1999 . Scattering of high frequency flexural waves in thin plates . Math. Mech. Solids , 4 : 461 – 479 .
  • Thomson , GR and Constanda , C . 1998 . Representation theorems for the solution of high frequency harmonic oscillations in elastic plates . Appl. Math. Lett. , 11 ( 5 ) : 55 – 59 .
  • Constanda , C . 1990 . A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation , Harlow : Longman .

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