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2009•Journal of Naval University of EngineeringRequires access

Oscillation of solutions to a class of second order neutral damped partial differential equations with continuously distributed delays

Juan Xiao

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Abstract

This paper dealt with oscillatory properties of solutions to a class of second order neutral partial differential equations with damping term and continuously distributed delays.Some criteria of sufficient conditions were obtained for the oscillation of all solutions of the equations under Robin and Dirichlet boundary condition by using Riccati transformation and introducing a class of new function Φ(t,s,l).

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What this paper is about

This paper dealt with oscillatory properties of solutions to a class of second order neutral partial differential equations with damping term and continuously distributed delays.Some criteria of sufficient conditions were obtained for the oscillation of all solutions of the equations under Robin and Dirichlet boundary condition by using Riccati transformation and introducing a class of new function Φ(t,s,l).

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Available abstract

This paper dealt with oscillatory properties of solutions to a class of second order neutral partial differential equations with damping term and continuously distributed delays.Some criteria of sufficient conditions were obtained for the oscillation of all solutions of the equations under Robin and Dirichlet boundary condition by using Riccati transformation and introducing a class of new function Φ(t,s,l).

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

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