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.
Infinite boundary value problems for th-order nonlinear impulsive integro-differential equations in Banach spaces
โ Scribed by Lishan Liu; Zhenbin Liu; Yonghong Wu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 222 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x and deviating argument x(ฮฒ(t)) in Banach space.
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.