Asymptotic behavior of solutions of differential inclusions and the method of guiding functions

被引：7

作者：

Kornev, S. V. ^{[1
]}

Obukhovskii, V. V. ^{[1
]}

机构：

[1] Voronezh State Pedag Univ, Voronezh, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic Behavior; Periodic Solution; Function Versus; Lipschitz Function; Regular Function;

D O I：

10.1134/S0012266115060014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To study the asymptotic behavior of solutions of differential inclusions, we suggest to use a generalization of the Krasnosel'skii-Perov method of guiding functions to the nonsmooth case.

引用

页码：711 / 716

页数：6

共 50 条

[1] Asymptotic behavior of solutions of differential inclusions and the method of guiding functions
S. V. Kornev
V. V. Obukhovskii
Differential Equations, 2015, 51 : 711 - 716
[2] On the Method of Multivalent Guiding Functions for Periodic Solutions of Differential Inclusions
S. V. Kornev
Automation and Remote Control, 2003, 64 : 409 - 419
[3] On the method of multivalent guiding functions for periodic solutions of differential inclusions
Kornev, SV
AUTOMATION AND REMOTE CONTROL, 2003, 64 (03) : 409 - 419
[4] The averaging method and the asymptotic behavior of solutions to differential inclusions
V. S. Klimov
A. Yu. Ukhalov
Russian Mathematics, 2009, 53 (8) : 20 - 28
[5] The Averaging Method and the Asymptotic Behavior of Solutions to Differential Inclusions
Klimov, V. S.
Ukhalov, A. Yu.
RUSSIAN MATHEMATICS, 2009, 53 (08) : 20 - 28
[6] RANDOM NONSMOOTH INTEGRAL GUIDING FUNCTIONS AND ASYMPTOTIC BEHAVIOR OF TRAJECTORIES FOR RANDOM DIFFERENTIAL INCLUSIONS
Kornev, Sergey
Nguyen Van Loi
Obukhovskii, Valeri
Wen, Ching-Feng
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (03) : 493 - 500
[7] Localization of the method of guiding functions in the problem about periodic solutions of differential inclusions
S. V. Kornev
V. V. Obukhovskii
Russian Mathematics, 2009, 53 (5) : 19 - 27
[8] Localization of the Method of Guiding Functions in the Problem about Periodic Solutions of Differential Inclusions
Kornev, S. V.
Obukhovskii, V. V.
RUSSIAN MATHEMATICS, 2009, 53 (05) : 19 - 27
[9] Method of guiding functions for differential inclusions in a Hilbert space
Nguyen Van Loi
Differential Equations, 2010, 46 : 1438 - 1447
[10] Method of guiding functions for differential inclusions in a Hilbert space
Nguyen Van Loi
DIFFERENTIAL EQUATIONS, 2010, 46 (10) : 1438 - 1447

← 1 2 3 4 5 →