Solutions Almost Periodic at Infinity to Differential Equations With Unbounded Operator Coefficients

被引：1

作者：

A. G. Baskakov

I. I. Strukova

I. A. Trishina

机构：

[1] Voronezh State University,

来源：

Siberian Mathematical Journal | 2018年 / 59卷

关键词：

functions almost periodic at infinity; Banach modules; differential equations with unbounded operator coefficients; function spectrum; operator spectrum; operator semigroups;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The new class of functions almost periodic at infinity is defined using the subspace of functions with integrals decreasing at infinity. We obtain spectral criteria for almost periodicity at infinity of bounded solutions to differential equations with unbounded operator coefficients. For the new class of asymptotically finite operator semigroups we prove the almost periodicity at infinity of their orbits.

引用

页码：231 / 242

页数：11

共 50 条

[21] Semigroups and differential equations with almost periodic coefficients
Aulbach, Bernd
Van Minh, Nguyen
Nonlinear Analysis, Theory, Methods and Applications, 1998, 32 (02): : 287 - 297
[22] Semigroups and differential equations with almost periodic coefficients
Aulbach, B
Van Minh, N
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (02) : 287 - 297
[23] Almost Periodic Solutions of Differential Equations
Slyusarchuk V.Y.
Journal of Mathematical Sciences, 2021, 254 (2) : 287 - 304
[24] LINEAR DIFFERENTIAL EQUATIONS WITH ALMOST PERIODIC COEFFICIENTS
LILLO, JC
AMERICAN JOURNAL OF MATHEMATICS, 1959, 81 (01) : 37 - 45
[25] ALMOST PERIODIC SOLUTIONS WITH A PRESCRIBED SPECTRUM OF LINEAR AND QUASILINEAR DIFFERENTIAL EQUATIONS WITH ALMOST PERIODIC COEFFICIENTS AND CONSTANT TIME LAG (NEUTRAL DIFFERENTIAL EQUATIONS)
Fischer, Alexandr
MATHEMATICA BOHEMICA, 2012, 137 (03): : 293 - 310
[26] Almost Periodic Solutions for Stepanov-Almost Periodic Differential Equations
Maqbul M.
Bahuguna D.
Differential Equations and Dynamical Systems, 2014, 22 (3) : 251 - 264
[27] ALMOST PERIODIC SOLUTIONS FOR ALMOST PERIODIC SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
SEIFERT, G
JOURNAL OF DIFFERENTIAL EQUATIONS, 1966, 2 (03) : 305 - &
[28] Study of Functional-Differential Equations with Unbounded Operator Coefficients
Vlasov, V. V.
Rautian, N. A.
DOKLADY MATHEMATICS, 2017, 96 (03) : 620 - 624
[29] Estimates for the embedding operator of a sobolev space of periodic functions and for the solutions of differential equations with periodic coefficients
Baskakov, A. G.
Kobychev, K. S.
DIFFERENTIAL EQUATIONS, 2011, 47 (05) : 609 - 619
[30] Estimates for the embedding operator of a sobolev space of periodic functions and for the solutions of differential equations with periodic coefficients
A. G. Baskakov
K. S. Kobychev
Differential Equations, 2011, 47 : 609 - 619

← 1 2 3 4 5 →