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

Hou Yan-hong

Abstract

This paper studies the oscillation of one kind of second-order variable delay differential equation x″(t)+p(t)f(x(g(t)))=0.By using two lemmas,we gain two sufficient conditions for the oscillation of all solutions of the equation with variable coefficient p(t).We generalize the oscillation results of second-order nonlinear differential equation and variable delay differential equation with invariable coefficient.

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