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
Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
β Scribed by Guotao Wang; Bashir Ahmad; Lihong Zhang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 256 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
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 Ξ± β (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results.
π SIMILAR VOLUMES
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.
By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type.