On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions

Y.-K. Chang (), J. J. Nieto and W.-S. Li
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Y.-K. Chang: Lanzhou Jiaotong University
J. J. Nieto: Universidad de Santiago de Compostela
W.-S. Li: Lanzhou Jiaotong University

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 3, No 4, 442 pages

Abstract: Abstract This paper is focused mainly upon existence of solutions for a second-order impulsive hyperbolic differential inclusions with nonlocal initial conditions. By using some well-known fixed-point theorems, existence theorems are established when the multivalued map has convex or nonconvex values. As applications of these main theorems, some consequences are given for the sublinear growth cases.

Keywords: Impulsive inclusions; Hyperbolic differential inclusions; Multivalued maps; Fixed points; Nonlocal initial conditions (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-008-9468-1

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