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2009•Shuxue de shijian yu renshiRequires access

Linearized Oscillation of First Order Nonlinearity Variable Delay Differential Equation

Li Yan

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Abstract

Consider the nonlinear differential equation with variable delay x′(t)=f(t,x(τ(t))).By using the oscillation of its linearized equationx′(t)=D2f(t,0)x(τ(t)),a sufficient condition for oscillation of the equation is obtained,which generalized the corresponding result of

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What this paper is about

Consider the nonlinear differential equation with variable delay x′(t)=f(t,x(τ(t))).By using the oscillation of its linearized equationx′(t)=D2f(t,0)x(τ(t)),a sufficient condition for oscillation of the equation is obtained,which generalized the corresponding result of

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Available abstract

Consider the nonlinear differential equation with variable delay x′(t)=f(t,x(τ(t))).By using the oscillation of its linearized equationx′(t)=D2f(t,0)x(τ(t)),a sufficient condition for oscillation of the equation is obtained,which generalized the corresponding result of

Key concepts: Oscillation (cell signaling), Nonlinear system, Variable (mathematics), Order (exchange), Mathematics, Differential equation, Mathematical analysis, Delay differential equation

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