Title: Existence of solutions for second-order dynamic inclusions

Authors: Elvan Akin-Bohner, Shurong Sun

Addresses: Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA. ' School of Science, University of Jinan, Jinan, Shandong 250022, China; and Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA

Abstract: By means of the method of lower and upper solutions, we study the existence of solutions for the second-order dynamic inclusions on time scales. The presented studies extend some recent results both for dynamic inclusions and differential inclusions.

Keywords: second-order dynamic inclusions; time scales; boundary value problem; differential inclusions.

DOI: 10.1504/IJDSDE.2011.038494

International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.1/2, pp.24 - 37

Published online: 09 Feb 2011 *

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