Lyapunov Vector Functions, Rotation of Vector Fields, Guiding Functions, and the Existence of Poisson Bounded Solutions

被引：1
|
作者：
Lapin, K. S. [1 ]
机构：
[1] Mordovian State Pedag Inst, Saransk 430007, Russia
来源：
DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 03期
关键词：
D O I：
10.1134/S0012266121030022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use the Lyapunov vector function method and the guiding function method to obtain sufficient conditions for the existence of Poisson bounded and partially Poisson bounded solutions of systems of differential equations.
引用
收藏
页码：284 / 290
页数：7
相关论文
共 50 条
  • [31] VECTOR LYAPUNOV FUNCTIONS AND PERTURBATION-THEORY
    MITCHELL, RW
    MOORE, ME
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A136 - A136
  • [32] Lyapunov vector functions in nonlinear oscillation problems
    Barabanova, AA
    Krasnoselskii, MA
    Mawhin, J
    Fomenko, IV
    Fridman, K
    [J]. AUTOMATION AND REMOTE CONTROL, 1996, 57 (03) : 322 - 328
  • [33] Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions
    K. S. Lapin
    [J]. Differential Equations, 2016, 52 : 549 - 556
  • [34] Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions
    Lapin, K. S.
    [J]. DIFFERENTIAL EQUATIONS, 2016, 52 (05) : 549 - 556
  • [35] Pairings between bounded divergence-measure vector fields and BV functions
    Crasta, Graziano
    De Cicco, Virginia
    Malusa, Annalisa
    [J]. ADVANCES IN CALCULUS OF VARIATIONS, 2022, 15 (04) : 787 - 810
  • [36] Existence of positive solutions for a Schrodinger-Poisson system with bounded potential and weighted functions in
    Yuan, Qing
    Chen, Caisheng
    Yang, Hongwei
    [J]. BOUNDARY VALUE PROBLEMS, 2017, : 1 - 17
  • [37] ON THE BARRELLEDNESS OF SPACES OF BOUNDED VECTOR-FUNCTIONS
    DREWNOWSKI, L
    FLORENCIO, MG
    PAUL, PJ
    [J]. ARCHIV DER MATHEMATIK, 1994, 63 (05) : 449 - 458
  • [38] VECTOR VALUED FUNCTIONS OF BOUNDED BIDIMENSIONAL Φ-VARIATION
    Bracamonte, Mireya
    Gimenez, Jose
    Merentes, Nelson
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (01): : 89 - 108
  • [39] Extension of bounded vector-valued functions
    Frerick, Leonhard
    Jorda, Enrique
    Wengenroth, Jochen
    [J]. MATHEMATISCHE NACHRICHTEN, 2009, 282 (05) : 690 - 712
  • [40] Dulac Functions of Planar Vector Fields
    Gine, Jaume
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (01) : 121 - 128
12345