Conditions for the existence of bounded solutions of one class of nonlinear differential equations

被引：0
|
作者：
Hrod I.M. [1 ]
机构：
[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv
来源：
Ukrainian Mathematical Journal | 2006年 / 58卷 / 3期
关键词：
Banach Space; Nonlinear Differential Equation; Arbitrary Element; Closed Ball; Arbitrary Sequence;
D O I：
10.1007/s11253-006-0071-z
中图分类号：
学科分类号：
摘要：
For systems of nonlinear differential equations (dx/dt) = A(x)x + f(t) in a Banach space, we establish sufficient conditions for the existence of their solutions bounded on the entire real axis R. © 2006 Springer Science+Business Media, Inc.
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页码：357 / 367
页数：10
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