In this paper, the fixed point theory is used to investigate the existence and uniqueness of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces.
Periodic Boundary Value Problems for a Class of Second-Order Impulsive Integro-Differential Equations in Banach Spaces
โ Scribed by Xinzhi Liu; Dajun Guo
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 263 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence and uniqueness theorem of solutions of initial value problems for the second order mixed monotone type of impulsive differential equations and its application.
In this paper we show that the method of upper and lower solutions coupled with the monotone iterative technique is valid to obtain constructive proofs of existence of solutions for nonlinear periodic boundary value problems of functional differential equations without assuming properties of monoton