Periodic boundary value problem for first-order impulsive ordinary differential equations
β Scribed by Zhimin He; Jianshe Yu
- Book ID
- 108345062
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 89 KB
- Volume
- 272
- Category
- Article
- ISSN
- 0022-247X
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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
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