On boundary-value problems for second order perturbed differential inclusions

• Published in: Applicable analysis Vol. 84; no. 9; pp. 953 - 970
• Main Authors: Dhage, B. C., Graef, J. R.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.09.2005
• Subjects: 2000 Mathematics Subject Classification: 34A60; Boundary-value problems; Differential inclusions; Existence theorem; Extremal solutions

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...