Remarks on the Existence Results for Second-Order Differential Inclusions with Nonlocal Conditions

Authors:
Mohamed Bahaj
Affiliations:
Department of Mathematics, Faculty of Sciences Technology, Settat, Morocco
Venue:
Journal of Dynamical and Control Systems
Year:
2009

Citing 2
Cited 0

Nonlinear operators and differential equations in Banach spaces

Nonlinear operators and differential equations in Banach spaces
Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems

Nonlinear Analysis: Theory, Methods & Applications

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Abstract

In this paper, we investigate the existence of mild solutions of second-order initial-values problems for a class of semilinear differential inclusions with nonlocal conditions. By using suitable fixed-point theorems for multi-valued maps, we study the case where the multi-valued map F has convex or nonconvex values.