Conditions for the existence of bounded solutions of one class of nonlinear differential equations

被引：0

作者：

Hrod I.M. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv

来源：

Ukrainian Mathematical Journal | 2006年 / 58卷 / 3期

关键词：

Banach Space; Nonlinear Differential Equation; Arbitrary Element; Closed Ball; Arbitrary Sequence;

D O I：

10.1007/s11253-006-0071-z

中图分类号：

学科分类号：

摘要：

For systems of nonlinear differential equations (dx/dt) = A(x)x + f(t) in a Banach space, we establish sufficient conditions for the existence of their solutions bounded on the entire real axis R. © 2006 Springer Science+Business Media, Inc.

引用

页码：357 / 367

页数：10

共 50 条

[31] SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC AND BOUNDED SOLUTIONS OF NONLINEAR 2ND-ORDER DIFFERENTIAL-EQUATIONS
ABDUVAITOV, K
DIFFERENTIAL EQUATIONS, 1985, 21 (12) : 1353 - 1360
[32] Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity
Navickas, Z.
Ragulskis, M.
Telksnys, T.
APPLIED MATHEMATICS AND COMPUTATION, 2016, 283 : 333 - 338
[33] Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
Lingling Zhang
Huimin Tian
Advances in Difference Equations, 2017
[34] On the existence of positive solutions of a class of second order nonlinear differential equations
Yin, ZY
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2004, 10 (01): : 83 - 93
[35] Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
Zhang, Lingling
Tian, Huimin
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[36] SUFFICIENT CONDITIONS FOR EXISTENCE OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Abernathy, Kristen Kobylus
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2013, 5 (03): : 341 - 353
[37] Existence and Uniqueness of Positive Solutions for a Class of Nonlinear Fractional Differential Equations with Singular Boundary Value Conditions
Debao, Yan
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[38] Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions
Liu, Xiping
Li, Fanfan
Jia, Mei
Zhi, Ertao
ABSTRACT AND APPLIED ANALYSIS, 2014,
[39] On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions
Atici, FM
Guseinov, GS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 132 (02) : 341 - 356
[40] CONDITIONS OF EXISTENCE AND STABILITY FOR PERIODIC SOLUTIONS TO CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS
JUMARIE, G
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (21): : 992 - &

← 1 2 3 4 5 →