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On boundary-value problems for second order perturbed differential inclusions |
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| Authors: | B C Dhage |
| Institution: | Kasubai , Gurukul Colony, Ahmedpur 413 515, Latur, Maharashtra, India |
| Abstract: | This article studies the existence of solutions to boundary-value problems for second order multi-valued perturbed differential inclusions under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions and the weaker nonconvexity conditions for multi-valued functions. |
| Keywords: | Boundary-value problems Differential inclusions Existence theorem Extremal solutions 2000 Mathematics Subject Classification: 34A60 |