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
收藏
页码：358 / 379
页数：22
相关论文
共 50 条
  • [31] SYSTEMS OF DIFFERENCE-DIFFERENTIAL EQUATIONS
    BERENSTEIN, CA
    TAYLOR, BA
    YGER, A
    ANNALES DE L INSTITUT FOURIER, 1983, 33 (01) : 109 - 130
  • [32] Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori
    Fonda, Alessandro
    Klun, Giuliano
    Sfecci, Andrea
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 201 (201)
  • [33] Improved estimates on the existence of invariant tori for Hamiltonian systems
    Celletti, A
    Giorgilli, A
    Locatelli, U
    NONLINEARITY, 2000, 13 (02) : 397 - 412
  • [34] On lower dimensional invariant tori in reversible systems
    Liu, B
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 176 (01) : 158 - 194
  • [35] ON EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENCE-DIFFERENTIAL EQUATIONS
    SUGIYAMA, S
    PROCEEDINGS OF THE JAPAN ACADEMY, 1961, 37 (08): : 432 - &
  • [36] The Existence of Periodic Orbits and Invariant Tori for Some 3-Dimensional Quadratic Systems
    Jiang, Yanan
    Han, Maoan
    Xiao, Dongmei
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [37] On the Existence and Stability of an Infinite-Dimensional Invariant Torus
    Glyzin, S. D.
    Kolesov, A. Yu.
    Rozov, N. Kh.
    MATHEMATICAL NOTES, 2021, 109 (3-4) : 534 - 550
  • [38] On the Existence and Stability of an Infinite-Dimensional Invariant Torus
    S. D. Glyzin
    A. Yu. Kolesov
    N. Kh. Rozov
    Mathematical Notes, 2021, 109 : 534 - 550
  • [39] EXISTENCE, UNIQUENESS AND STABILITY OF SOLUTIONS OF SYSTEMS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS
    MIRANKER, WL
    JOURNAL OF MATHEMATICS AND MECHANICS, 1962, 11 (01): : 101 - 107
  • [40] A mechanism for detecting normally hyperbolic invariant tori in differential equations
    Pereira, Pedro C. C. R.
    Novaes, Douglas D.
    Candido, Murilo R.
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 177 : 1 - 45
12345