Existence of solutions for a class of implicit differential equations in Banach spaces

被引：0

作者：

Huang, N ^{[1
]}

Lan, H

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Technol, Dept Appl Math, Zigong 643033, Sichuan, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷 / 01期

关键词：

implicit differential equation; cone; directional Lipschitzian condition; Krasnoselskii's fixed point theorem; existence of solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the directional Lipschitzian condition and Krasnoselskii's fixed point theorem, we prove some new existence theorems of solution for a class of first-order implicit ordinary differential equations in Banach spaces.

引用

页码：27 / 36

页数：10

共 50 条

[41] Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces
Nguyen Van Hung
Vo Minh Tam
Donal O’Regan
Computational and Applied Mathematics, 2020, 39
[42] EXISTENCE OF UNIQUE SOLUTIONS TO SOME FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
ANDERSON, DR
BOGDANOW.WM
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (01): : 59 - &
[43] Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces
Van Hung, Nguyen
Tam, Vo Minh
O'Regan, Donal
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
[44] EXISTENCE, UNIQUENESS AND LIMITING BEHAVIOR OF SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS IN BANACH-SPACE
LAGNESE, J
PACIFIC JOURNAL OF MATHEMATICS, 1974, 53 (02) : 473 - 485
[45] EXISTENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS IN BANACH-SPACE
KNIGHT, WJ
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (01) : 148 - 149
[46] Existence of Solutions for Nonlinear Implicit Complementarity Problems in Reflexive Banach Spaces
曾六川
数学季刊, 1997, (01) : 81 - 86
[47] On the Existence, Uniqueness, and Stability ofβ-Viscosity Solutions to a Class of Hamilton-Jacobi Equations in Banach Spaces
Tran, Bang Van
Phan, Tien Trong
ACTA MATHEMATICA VIETNAMICA, 2020, 45 (03) : 571 - 590
[48] Multiple positive solutions for a class of nonlinear integro-differential equations in Banach spaces
Guo, D
APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (02) : 469 - 485
[49] On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces
Kamenskii M.
Obukhovskii V.
Petrosyan G.
Yao J.-C.
Fixed Point Theory and Applications, 2017 (1)
[50] EXISTENCE RESULTS FOR DIFFERENTIAL DELAY EQUATIONS IN BANACH-SPACES
LEE, JW
OREGAN, D
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (09) : 1157 - 1182

← 1 2 3 4 5 →