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2010•Journal of Sichuan Normal UniversityRequires access

Oscillation of Solutions to a Class of Even Order Neutral Damped Partial Differential Equations with Continuously Distributed Delays

Yang Liu

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Abstract

Oscillatory properties of solutions to a class of even order neutral partial differential equations with damping term and continuously distributed delays are studied.Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary condition by using the 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 neutral partial differential equations with damping term and continuously distributed delays are studied.Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary condition by using the 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 neutral partial differential equations with damping term and continuously distributed delays are studied.Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary condition by using the Riccati transformation and introducing a class of new functions Φ(t,s,l).

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

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