Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions

被引：0

作者：

Yi-cheng Liu

Jun Wu

Zhi-xiang Li

机构：

[1] National University of Defense Technology,Department of Mathematics and System Science, College of Science

[2] Changsha University of Science Technology,College of Mathematics and Computer Science

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2007年 / 23卷

关键词：

Impulsive differential inclusions; measurable selection; contraction multi-valued map; boundary value problems; 34K45; 49K24;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the existence of solutions for impulsive first order ordinary differential inclusions which admitting nonconvex valued right hand side. We present two classes of results. In the first one, we rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, we use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values under weaker conditions.

引用

页码：411 / 420

页数：9

共 50 条

[31] First-order impulsive ordinary differential equations with advanced arguments
Jankowski, Tadeusz
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 1 - 12
[32] Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations
Chuanzhi Bai
[J]. Boundary Value Problems, 2008
[33] ON INITIAL VALUE PROBLEMS FOR FIRST-ORDER IMPLICIT IMPULSIVE FUZZY DIFFERENTIAL EQUATIONS
Lan, Heng-You
Nieto, Juan J.
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2009, 18 (3-4): : 677 - 686
[34] First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions
Franco, D
Nieto, JJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (02) : 163 - 173
[35] Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions
Benchohra, M
Henderson, J
Ntouyas, SK
Ouahab, A
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (6-7) : 1069 - 1078
[36] Remarks on the periodic boundary value problems for first-order differential equations
Wan, Z
Chen, YB
Chen, J
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (08) : 49 - 55
[37] Boundary value problems for general first-order elliptic differential operators
Baer, Christian
Bandara, Lashi
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 282 (12)
[38] Remarks on the periodic boundary value problems for first-order differential equations
Zhuang, Wan
Chen, Yubo
Chen, Jie
[J]. Computers and Mathematics with Applications, 1999, 37 (08): : 49 - 55
[39] ON THE COMPLETENESS OF GENERAL BOUNDARY VALUE PROBLEMS FOR 2 x 2 FIRST-ORDER SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Agibalova, A. V.
Malamud, M. M.
Oridoroga, L. L.
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2012, 18 (01): : 4 - 18
[40] Periodic boundary value problems for first order impulsive differential equations with arguments
Gao, Li
Qi, Yinghua
Qi, Aiqin
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 233 - 235

← 1 2 3 4 5 →