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

[21] Existence and uniqueness of solutions for nonlinear general fractional differential equations in Banach spaces
Mei, Zhan-Dong
Peng, Ji-Gen
Gao, Jing-Huai
INDAGATIONES MATHEMATICAE-NEW SERIES, 2015, 26 (04): : 669 - 678
[22] Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
V. Yu. Slyusarchuk
Ukrainian Mathematical Journal, 2013, 65 : 341 - 347
[23] The existence of a class of solutions to systems of differential equations with oscillating coefficients in a Banach space
Shchegolev, SA
DIFFERENTIAL EQUATIONS, 1996, 32 (04) : 578 - 580
[24] On a class of functional differential equations in Banach spaces
Lupulescu, Vasile
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (64) : 1 - 17
[25] Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces
Zhu, Bo
Han, Baoyan
Lin, Xiangyun
JOURNAL OF FUNCTION SPACES, 2019, 2019
[26] EXISTENCE THEOREMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Sghir, A.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2009, 78 (02): : 287 - 302
[27] EXISTENCE THEOREM FOR ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES
CHOW, SN
SCHUUR, JD
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (06) : 1018 - &
[28] Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces
Xu, HK
Nieto, JJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (09) : 2605 - 2614
[29] Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces
Tran Dinh Ke
Do Lan
Fractional Calculus and Applied Analysis, 2014, 17 : 96 - 121
[30] Bounded solutions to a class of semilinear integro-differential equations in Banach spaces
Lizama, Carlos
Ponce, Rodrigo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (10) : 3397 - 3406

← 1 2 3 4 5 →