2013Journal of Shandong UniversityRequires access

Philos-type oscillation criteria for third-order nonlinear functional differential equations with distributed delays and damped terms

Luo Li-ping

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Abstract

The oscillation of third-order nonlinear neutral functional differential equations with distributed delays and damped terms is studied.By using a generalized Riccati transformation and H-functions technique,some new sufficient conditions which insure that any solution of this equation Philos-type oscillation or converges to zero are established.

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The oscillation of third-order nonlinear neutral functional differential equations with distributed delays and damped terms is studied.By using a generalized Riccati transformation and H-functions technique,some new sufficient conditions which insure that any solution of this equation Philos-type oscillation or converges to zero are established.

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Available abstract

The oscillation of third-order nonlinear neutral functional differential equations with distributed delays and damped terms is studied.By using a generalized Riccati transformation and H-functions technique,some new sufficient conditions which insure that any solution of this equation Philos-type oscillation or converges to zero are established.

Key concepts: Oscillation (cell signaling), Mathematics, Nonlinear system, Type (biology), Differential equation, Riccati equation, Mathematical analysis, Transformation (genetics)

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