Existence results for dynamic inclusions on time scales with nonlocal initial conditions

Authors:
Yong-Kui Chang;Wan-Tong Li
Affiliations:
Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, People's Republic of China and School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, Peopl ...;School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

This paper is mainly concerned with the existence of solutions for first order dynamic inclusions on time scales with nonlocal initial conditions. By using Bohnenblust-Karlin's fixed point theorem and Leray-Schauder nonlinear alternative for multivalued maps, some sufficient conditions are established. An example is also included to illustrate our results.