2009Journal of Hefei University of TechnologyRequires access

Oscillation of solutions to a class of even order nonlinear neutral damped partial differential equations

Yang Liu

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Abstract

Oscillatory properties of solutions to a class of even order nonlinear neutral damped partial differential equations are studied.Some criteria of sufficient conditions for the oscillation of all possible solutions of the equations are obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing a class of new functions Φ(t,s,l).

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Oscillatory properties of solutions to a class of even order nonlinear neutral damped partial differential equations are studied.Some criteria of sufficient conditions for the oscillation of all possible solutions of the equations are obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing a class of new functions Φ(t,s,l).

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Available abstract

Oscillatory properties of solutions to a class of even order nonlinear neutral damped partial differential equations are studied.Some criteria of sufficient conditions for the oscillation of all possible solutions of the equations are obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing a class of new functions Φ(t,s,l).

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

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