A class of differential equations with impulses at variable times on Banach spaces
โ Scribed by Y. Peng; X. Xiang; C. Wang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 286 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper we show the validity of the method of upper and lower solutions to obtain an existence result for a periodic boundary value problem of first order impulsive differential equations at variable times.
A reduction theorem for systems of differential equations with impulse effect at fixed moments in a Banach space is proven. This result allows one to substantially reduce the given system to a much simpler one.
This paper investigates periodic boundary value problems for a class of secondorder nonlinear impulsive integro-differential equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained.
In this paper, we consider the optimal control problem of system governed by a class of strongly nonlinear impulsive evolution equations. Based on the existence of strongly nonlinear impulsive evolution equations, which contain nonlinear monotone operators and nonmonotone perturbations, we prove the