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Oscillation of Second-order Nonlinear Variable Delay Differential Equation with Variable Coefficient

Zhuang Xu-qin

Abstract

This paper studies the oscillation of a kind of second-order variable delay differential equation x″(t)+p(t)f(x(g(t)))=0.Two important lemmas and a sufficient condition for the oscillation of all solutions of the equation with variable coefficient p(t) are obtained.We generalize the results of second-order nonlinear differential equation and variable delay differential equation with invariable coefficient.

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Available abstract

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