2006Journal of Guizhou Normal UniversityRequires access

Oscillatory criteria for a class of even order nonlinear neutral partial differential equations with continuous distributed delay

Luo Li-ping

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Abstract

The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied.Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi-dimensional oscillation problems to one-dimensional problems.Results obtained generalize and include some known results.

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The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied.Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi-dimensional oscillation problems to one-dimensional problems.Results obtained generalize and include some known results.

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Available abstract

The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied.Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi-dimensional oscillation problems to one-dimensional problems.Results obtained generalize and include some known results.

Key concepts: Nonlinear system, Oscillation (cell signaling), Class (philosophy), Partial differential equation, Mathematics, Distributed parameter system, Order (exchange), Mathematical analysis

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