Oscillation for Certain Nonlinear Neutral Partial Differential Equations

Quanwen Lin and Rongkun Zhuang

International Journal of Differential Equations, 2010, vol. 2010, 1-12

Abstract:

We present some new oscillation criteria for second-order neutral partial functional differential equations of the form , , where is a bounded domain in the Euclidean -space with a piecewise smooth boundary and is the Laplacian in . Our results improve some known results and show that the oscillation of some second-order linear ordinary differential equations implies the oscillation of relevant nonlinear neutral partial functional differential equations.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:619142

DOI: 10.1155/2010/619142

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