Oscillation for Certain Nonlinear Neutral Partial Differential Equations | Zendy

Quanwen Lin | Zendy; Rong-Kun Zhuang | Zendy

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Oscillation for Certain Nonlinear Neutral Partial Differential Equations

Author(s) -

Quanwen Lin,

Rong-Kun Zhuang

Publication year - 2010

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2010/619142

Subject(s) - mathematics , oscillation (cell signaling) , mathematical analysis , nonlinear system , bounded function , domain (mathematical analysis) , partial differential equation , boundary (topology) , laplace operator , euclidean space , differential equation , piecewise , first order partial differential equation , physics , genetics , quantum mechanics , biology

We present some new oscillation criteria for second-order neutral partial functional differential equations of the form , , where is a bounded domain in the Euclidean -space with a piecewise smooth boundary and is the Laplacian in . Our results improve some known results and show that the oscillation of some second-order linear ordinary differential equations implies the oscillation of relevant nonlinear neutral partial functional differential equations.

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