Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and diffusion coefficients

doi:10.7523/j.issn.2095-6134.2012.6.003

›› 2012, Vol. ›› Issue (6): 738-742.DOI: 10.7523/j.issn.2095-6134.2012.6.003

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Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and diffusion coefficients

LIN Wen-Xian

Department of Mathematics and Applied Mathematics, Hanshan Normal University, Chaozhou 521041, Guangdong, China

Received:2011-06-20 Revised:2012-01-19 Online:2012-11-15

Abstract

Abstract: Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and nonlinear diffusion coefficients is studied. By employing the generalized Riccati transformation and the differential inequalities, some new sufficient conditions for oscillation of all the solutions of such equations are obtained under Robin and Dirichlet boundary value conditions. The results show that the oscillation is caused by delay. The results generalize some recently published results.

Key words: nonlinear diffusion coefficient, partial functional differential equation, oscillation, generalized Riccati transformation

CLC Number:

O175.27

LIN Wen-Xian. Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and diffusion coefficients[J]. , 2012, (6): 738-742.

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Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and diffusion coefficients

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