2008•Journal of Taiyuan University of TechnologyRequires access

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

Zigen Ouyang

Abstract

We study the forced oscillation for a class of nonlinear parabolic partial functional differential equations with continuous distribution delay.To reduce the multi-dimensional oscillation problems to one-dimensional problems for certain nonlinear neutral differential inequalities with continuous distribution delay by using Green's theorem and Jensen's inequality,some sufficient conditions are given for oscillation of solutions of the equations under three different boundary value conditions.

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