ArticleOriginal scientific text
Title
The method of upper and lower solutions for perturbed nth order differential inclusions
Authors 1, 2
Affiliations
- Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India
- Department of Applied Mathematics, Babeş-Bolyai University Cluj-Napoca, Kogălniceanu 1, 3400 Cluj-Napoca, Romania
Abstract
In this paper, an existence theorem for nth order perturbed differential inclusion is proved under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions on the multi-functions involved in the inclusion. Our results extend the existence results of Dhage et al. [7,8] and Agarwal et al. [1].
Keywords
differential inclusion, method of upper and lower solutions, existence theorem
Bibliography
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Pages:
57-76
Main language of publication
English
Received
2004-12-21
Published
2006
DOI: 10.7151/dmdico.1064
Exact and natural sciences