Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation dx(t)/dt = f(x(t) + h1(t)) + h2(t)

被引：0
|
作者：
Slyusarchuk, V. E. [1 ]
机构：
[1] Natl Univ Water & Environm Engn, Rivne, Ukraine
来源：
SBORNIK MATHEMATICS | 2017年 / 208卷 / 02期
关键词：
nonlinear differential equations; bounded and almost periodic solutions; NONLINEAR DIFFERENTIAL-EQUATIONS; LOCAL LINEAR-APPROXIMATION; ALMOST-PERIODIC SOLUTIONS; INVERTIBILITY; OPERATORS; SPACES;
D O I：
10.1070/SM8684
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions for a bounded solution of the nonlinear scalar differential equation dx(t)/dt = f(x(t) + h(1)(t)) + h(2)(t), t is an element of R, to exist and be unique are presented in the case when f(x) is a continuous function and the functions h(1)(t) and h(2)(t) are bounded and continuous. The case when h(1)(t) and h(2)(t) are almost periodic functions is also investigated. Bibliography: 31 titles.
引用
收藏
页码：255 / 268
页数：14
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