2008•Journal of Southwest UniversityRequires access

Oscillation Criteria of Systems of Nonlinear Neutral Hyperbolic Functional Partial Differential Equations

Luo Li-ping

Abstract

The oscillation of solutions for a class of systems of nonlinear neutral hyperbolic delay partial differential equations is considered in this paper.Some sufficient conditions are obtained for oscillation of such systems by making use of the methods of spatial average and some results of the functional differential equations.The results indicate that the oscillation is caused by delay.

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Key concepts: Oscillation (cell signaling), Nonlinear system, Hyperbolic partial differential equation, Mathematics, Method of characteristics, Partial differential equation, Mathematical analysis, Class (philosophy)