Oscillation criteria for a class of partial functional-differential equations of higher order

Kiguradze, Tariel; Kusano, Takasi; Yoshida, Norio

doi:https://doi.org/10.1155/S1048953302000229

International Journal of Stochastic Analysis

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Volume 15 | Article ID 757850 | https://doi.org/10.1155/S1048953302000229

Oscillation criteria for a class of partial functional-differential equations of higher order

Tariel Kiguradze,¹Takasi Kusano,²and Norio Yoshida³

Received01 Jan 2002

Revised01 May 2002

Abstract

Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional problem for higher order functional differential inequalities.

Copyright

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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