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Nonlinear first-order initial and periodic problems in Banach spaces

✍ 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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✦ 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 .


πŸ“œ SIMILAR VOLUMES


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✍ S. HeikkilΓ€; M. Kumpulainen πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 240 KB

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