This paper discusses anti-periodic boundary value problems of second order impulsive differential equations. By using the method of upper and lower solutions coupled with the monotone iterative technique, new existence results of coupled solutions and uniqueness of problems are obtained.
Generalized anti-periodic boundary value problems of impulsive fractional differential equations
โ Scribed by Xiaoping Li; Fulai Chen; Xuezhu Li
- Book ID
- 119219387
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 339 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1007-5704
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๐ SIMILAR VOLUMES
In this paper, we prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order ฮฑ โ (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results.
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