Impulsive boundary value problems for Sturm-Liouville type differential inclusions
Y Liu, J Wu, Z Li - Journal of Systems Science and Complexity, 2007 - Springer
Y Liu, J Wu, Z Li
Journal of Systems Science and Complexity, 2007•SpringerIn this paper, the authors investigate the existence of solutions of impulsive boundary value
problems for Sturm-Liouville type differential inclusions which admit non-convex-valued
multifunctions on right hand side. Two results under weaker conditions are presented. The
methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and
Nadler and Schaefer's fixed point theorem combined with lower semi-continuous multi-
valued operators with decomposable values.
problems for Sturm-Liouville type differential inclusions which admit non-convex-valued
multifunctions on right hand side. Two results under weaker conditions are presented. The
methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and
Nadler and Schaefer's fixed point theorem combined with lower semi-continuous multi-
valued operators with decomposable values.
Abstract
In this paper, the authors investigate the existence of solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions which admit non-convex-valued multifunctions on right hand side. Two results under weaker conditions are presented. The methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and Nadler and Schaefer’s fixed point theorem combined with lower semi-continuous multi-valued operators with decomposable values.
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