2008•Journal of Henan UniversityRequires access

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

Luo Li-ping

Abstract

The oscillation for a class of systems of nonlinear hyperbolic delay partial differential equations are studied in this paper.Some sufficient conditions are obtained for oscillation of all solutions of the systems under first boundary value conditions via spatial average and some results of the functional differential equations.The results fully indicate that the oscillation is caused by delay.

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