Oscillation of even order partial differential equations with distributed deviating arguments

Authors:
Gaihua Gui;Zhiting Xu
Affiliations:
School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China;School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Oscillation criteria for boundary value problems of high-order partial functional differential equations

Journal of Computational and Applied Mathematics

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Abstract

Some Kamenev-type oscillation criteria are established for a class of boundary value problems associated with even-order partial differential equations with distributed deviating arguments. Our approach is to reduce the high-dimensional oscillation problem to a one-dimensional oscillation one, and the general means developed by Philos and Wong is used as the main tool. The results obtained here extend and improve some known results in the literature.