Article ID Journal Published Year Pages File Type
4664898 Acta Mathematica Scientia 2007 9 Pages PDF
Abstract

In this article, the author studies the boundedness and convergence for the non—Liénard type differential equation {x0=a(y)-f(x),y0=b(y)β(x)-g(x)+e(t),where a(y), b(y), f(x), g(x), β(x) are real continuous functions in y ∈ R or x ∈ R, β(x)≥0 for all x and e(t) is a real continuous function on R+= {t: t≥0} such that the equation has a unique solution for the initial value problem. The necessary and sufficient conditions are obtained and some of the results in the literatures are improved and extended.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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