ON THE EXISTENCE OF INVARIANT TORI OF COUNTABLE SYSTEMS OF DIFFERENCE-DIFFERENTIAL EQUATIONS DEFINED ON INFINITE-DIMENSIONAL TORI

被引：0

作者：

Samoilenko, A. M. ^{[1
]}

Teplins'kyi, Yu. V. ^{[2
]}

Pasyuk, K. V. ^{[3
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

[2] Kamyanets Podilsk Natl Univ, Kamyanets Podilsk, Ukraine

[3] Bukovyna State Financial Acad, Chernovtsy, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2009年 / 12卷 / 03期

关键词：

D O I：

10.1007/s11072-010-0082-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the space of bounded number sequences, we establish sufficient conditions for the existence of invariant tori for linear and quasilinear countable systems of differential-difference equations defined on infinite-dimensional tori and containing an infinite set of constant deviations of a scalar argument.

引用

页码：358 / 379

页数：22

共 50 条

[21] On a Paradoxical Property of the Shift Mapping on an Infinite-Dimensional Tori
Glyzin, S. D.
Kolesov, A. Yu.
DOKLADY MATHEMATICS, 2024, 109 (01) : 20 - 24
[22] Existence of invariant tori in three dimensional maps with degeneracy
Vaidya, Umesh
Mezic, Igor
PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (13) : 1136 - 1145
[23] EXISTENCE THEOREMS ON DIFFERENCE-DIFFERENTIAL EQUATIONS
SUGIYAMA, S
PROCEEDINGS OF THE JAPAN ACADEMY, 1962, 38 (04): : 145 - &
[24] CONSTRUCTION OF AN INFINITE-DIMENSIONAL INVARIANT TORUS OF A COUNTABLE SYSTEM OF LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS BY THE METHOD OF ITS REDUCTION IN THE ANGULAR VARIABLE
Samoilenko, A. M.
Teplins'kyi, Yu. V.
Pasyuk, K. V.
NONLINEAR OSCILLATIONS, 2011, 14 (02): : 280 - 294
[25] Commuting Flows and Infinite-Dimensional Tori: Sine-Gordon
Schwarz, Martin, Jr.
JOURNAL OF NONLINEAR SCIENCE, 2017, 27 (05) : 1379 - 1398
[26] SYSTEMS OF ESSENTIALLY INFINITE-DIMENSIONAL DIFFERENTIAL EQUATIONS
Statkevych, V. M.
UKRAINIAN MATHEMATICAL JOURNAL, 2012, 63 (09) : 1433 - 1440
[27] Commuting Flows and Infinite-Dimensional Tori: Sine-Gordon
Martin Schwarz
Journal of Nonlinear Science, 2017, 27 : 1379 - 1398
[28] Systems of essentially infinite-dimensional differential equations
V. M. Statkevych
Ukrainian Mathematical Journal, 2012, 63 : 1433 - 1440
[29] On the Existence of Isolated Integral Tori of Differential Systems
Amel'kin, V. V.
Tyshchenko, V. Yu.
DIFFERENTIAL EQUATIONS, 2019, 55 (06) : 745 - 752
[30] On the Existence of Isolated Integral Tori of Differential Systems
V. V. Amel’kin
V. Yu. Tyshchenko
Differential Equations, 2019, 55 : 745 - 752

← 1 2 3 4 5 →