2013Applied Mechanics and MaterialsOpen access

Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type

Qing Xia, Lin Li Zhang, An Ping Liu

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Abstract

Oscillatory properties of all solutions for nonlinear impulsive hyperbolic equations with delays under the Robin boundary condition are discussed, several criteria are established by the mean method. The results extend the oscillation of impulsive differential equations to impulsive partial differential equations with delays.

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Oscillatory properties of all solutions for nonlinear impulsive hyperbolic equations with delays under the Robin boundary condition are discussed, several criteria are established by the mean method. The results extend the oscillation of impulsive differential equations to impulsive partial differential equations with delays.

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Available abstract

Oscillatory properties of all solutions for nonlinear impulsive hyperbolic equations with delays under the Robin boundary condition are discussed, several criteria are established by the mean method. The results extend the oscillation of impulsive differential equations to impulsive partial differential equations with delays.

Key concepts: Nonlinear system, Hyperbolic partial differential equation, Oscillation (cell signaling), Mathematical analysis, Mathematics, Differential equation, Method of characteristics, Type (biology)

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