Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations

被引：6

作者：

Slyusarchuk, V. E. ^{[1
]}

机构：

[1] Natl Univ Water Management & Nat Resources, Rivne, Ukraine

来源：

IZVESTIYA MATHEMATICS | 2014年 / 78卷 / 06期

关键词：

almost periodic solutions; non-linear differential-difference equations; non-linear almost periodic equations; LOCAL LINEAR-APPROXIMATION; EXISTENCE; OPERATORS;

D O I：

10.1070/IM2014v078n06ABEH002728

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider non-linear almost periodic differential-difference equations having solutions with precompact sets of values. We obtain conditions for such solutions to be almost periodic.

引用

页码：1232 / 1243

页数：12

共 19 条

[1] Amerio L., 1955, ANN MAT PUR APPL, V39, P97, DOI 10.1007/BF02410765
[2] Amerio L., 1960, RIC MAT, V9, P255
[3] [Anonymous], 1967, Lectures on the mathematical theory of stability
[4] Contributions to the Theory of almost periodic Functions.
Bochner, S.
[J]. MATHEMATISCHE ANNALEN, 1927, 96 : 119 - 147
[5] Contributions to the Theory of almost periodic Functions.
Bochner, S.
[J]. MATHEMATISCHE ANNALEN, 1927, 96 : 383 - 409
[6] About linear differential equations with almost-periodic coefficients
Favard, J
[J]. ACTA MATHEMATICA, 1928, 51 (01) : 31 - 81
[7] Levitan M., 1953, Almost periodic functions
[8] INVESTIGATIONS IN THE THEORY OF BOUNDED AND PERIODIC-SOLUTIONS OF DIFFERENTIAL-EQUATIONS
MUKHAMADIEV, E
[J]. MATHEMATICAL NOTES, 1981, 30 (3-4) : 713 - 722
[9] Mukhamadiev E., 1972, MATH NOTES, V11, P269, DOI 10.1007/BF01098519
[10] Bounded and periodic solutions of nonlinear functional differential equations
Slyusarchuk, V. E.
[J]. SBORNIK MATHEMATICS, 2012, 203 (05) : 743 - 767

← 1 2 →