ON THE CONVERGENCE OF SOLUTIONS OF CERTAIN INHOMOGENEOUS FOURTH-ORDER DIFFERENTIAL EQUATIONS

被引：1
|
作者：
Tunc, E. [1 ]
机构：
[1] Gaziosmanpasha Univ, Tokat, Turkey
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2010年 / 62卷 / 05期
关键词：
Differential Equation; Positive Constant; Nonlinear Function; Convergence Theorem; Trivial Solution;
D O I：
10.1007/s11253-010-0393-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to give sufficient conditions for the convergence of solutions of a certain class of fourth-order nonlinear differential equations using Lyapunov's second method. Nonlinear functions involved are not necessarily differentiable, but a certain incrementary ratio for a function h lies in a closed subinterval of the Routh-Hurwitz interval.
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页码：824 / 833
页数：10
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