Impulsive anti-periodic boundary value problem of first-order integro-differential equations
β Scribed by Xiaohuan Wang; Jihui Zhang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 289 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
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 iterative techniques. Some examples are presented to illustrate the main results.
π SIMILAR VOLUMES
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.
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.
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.
This paper considers existence of solutions for a class of first order impulsive differential equation with integral boundary value conditions. We present a new comparison theorem and show that the monotone iterative technique coupled with lower and upper solutions is still valid. The results we obt