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.
Nonlinear first-order initial and periodic problems in Banach spaces
β Scribed by M. Frigon; D. O'regan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 318 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
In this paper, we establish some existence results for periodic and initial value problems for first-order ordinary differential equations in Banach space, where the right member f has a decomposition f = g + h with g and h satisfying, respectively, a compactness and Lipschitz assumptions. Our results extend results of .
π SIMILAR VOLUMES
In this paper we derive the existence and comparison results for second order initial value problems in ordered Banach spaces. The considered problems can be implicit, singular, functional, discontinuous and nonlocal. The main tools are fixed point results in ordered spaces and the theory of locally