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Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems, (2009) 162166 DCDIS A Supplement, Copyright c 2009 Watam Press
 

Summary: Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems, (2009) 162166
DCDIS A Supplement, Copyright c 2009 Watam Press
NONLOCAL INITIAL VALUE PROBLEM FOR FIRST-ORDER
DYNAMIC EQUATIONS ON TIME SCALES
Douglas R. Anderson1
and Abdelkader Boucherif2
1
Department of Mathematics and Computer Science,
Concordia College, Moorhead, MN 56562 USA, Email: andersod@cord.edu
2
Department of Mathematical Sciences,
King Fahd University of Petroleum and Minerals,
Dhahran 31261, Saudi Arabia, Email: aboucher@kfupm.edu.sa
Abstract. In this study, conditions for the existence of at least one
solution to a nonlinear first-order nonlocal initial value problem on
time scales are discussed. The results extend previous work in the
continuous case to the discrete, quantum, and general time scales
setting, and are based on the Leray-Schauder fixed point theorem.
Keywords. Time scales; Nonlinear dynamic equations; Leray-
Schauder fixed point theorem; Initial value problems; Existence.

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics