Antiperiodic boundary value problem for first-order impulsive ordinary differential equations
β Scribed by Zhiguo Luo; Jianhua Shen; J.J. Nieto
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 423 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
This paper discusses the antiperiodic boundary value problem for first-order impulsive ordinary differential equations. We establish several existence results by using the Leray-Schauder alternative, the lower and upper solution method and the monotone iterative technique. (~) 2005 Elsevier Ltd. All rights reserved.
π SIMILAR VOLUMES
The authors employ the method of upper and lower solution coupled with the monotone iterative technique to obtain results of existence and uniqueness for a nonhomogeneous boundary value problem of impulsive differential equations with delay. (~)
technique a b s t r a c t This paper is concerned with the anti-periodic boundary value problem of first-order nonlinear impulsive integro-differential equations. We first establish a new comparison principle, and then obtain the existence of extremal solutions by upper-lower solution and monotone i