2008•Shuxue de shijian yu renshiRequires access

Oscillation of Four-order Nonlinear Differential Equations with Variable Coefficient

Jianguo Zhang

Abstract

This paper studies the oscillation of a kind of four-order nonlinear differential equation.x(4)(t)+p(t)f(x(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 four-order nonlinear differential equation with invariable coefficient.

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Available abstract

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