Abstract

The theory of dynamic inclusions on a time scale is introduced, hence accommodating the special cases of differential inclusions and difference inclusions. Fixed point theory for set-valued upper semicontinuous maps, Green's functions, and upper and lower solutions are used to establish existence results for solutions of second order dynamic inclusions.

Department(s)

Mathematics and Statistics

Sponsor(s)

Australian Research Council

Keywords and Phrases

Dynamic Inclusions; Fixed Point Theory; Green's Functions; Difference Inclusions; Differential Inclusions

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2005 Atlantis Press, All rights reserved.

Full Text Link

Share

 
COinS