Article ID Journal Published Year Pages File Type
4622874 Journal of Mathematical Analysis and Applications 2007 10 Pages PDF
Abstract

In this paper, we study the existence of periodic solutions of the second order differential equations x″+f(x)x′+g(x)=e(t)x″+f(x)x′+g(x)=e(t). Using continuation lemma, we obtain the existence of periodic solutions provided that F(x)F(x) (=∫0xf(s)ds) is sublinear when x   tends to positive infinity and g(x)g(x) satisfies a new conditionxg′(x)g(x)⩾−M,x⩾d, where M, d are two positive constants.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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