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ASYMPTOTIC BEHAVIOR OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

Yang, Yitao (College of Science, Tianjin University of Technology)
Meng, Fanwei (Department of Mathematics, Qufu Normal University)

Publication Information

Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 333-343 More about this Journal

Abstract

The asymptotic behavior of solutions of higher order differential equations with deviating argument $$$(py^{(n-1)}(t))$ $t\;{\in}\;[0,\;\infty)$ is studied. Our technique depends on an integral inequality containing a deviating argument. From this we obtain some sufficient conditions under which all solutions of Eq.(1) have some asymptotic behavior.

Keywords

Differential equations; integral inequality; asymptotic behavior of solutions;

Citations & Related Records

Reference

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