2006Mathematica ApplicataRequires access

Oscillation of Nonlinear Neutral Parabolic Partial Functional Differential Equations with Continuous Distribution Delay

Luo Li-ping

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Abstract

The oscillation of solutions for a class of nonlinear neutral parabolic partial functional differential equations with continuous distribution delay is considered in this paper.Some sufficient conditions are obtained for oscillation of solutions of the equations under Robin and Dirichlet boundary value conditions by employing Green's theorem and delay differential inequalities.

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What this paper is about

The oscillation of solutions for a class of nonlinear neutral parabolic partial functional differential equations with continuous distribution delay is considered in this paper.Some sufficient conditions are obtained for oscillation of solutions of the equations under Robin and Dirichlet boundary value conditions by employing Green's theorem and delay differential inequalities.

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Available abstract

The oscillation of solutions for a class of nonlinear neutral parabolic partial functional differential equations with continuous distribution delay is considered in this paper.Some sufficient conditions are obtained for oscillation of solutions of the equations under Robin and Dirichlet boundary value conditions by employing Green's theorem and delay differential inequalities.

Key concepts: Mathematics, Nonlinear system, Mathematical analysis, Oscillation (cell signaling), Delay differential equation, Boundary value problem, Parabolic partial differential equation, Partial differential equation

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