Article
Second Order Dynamic Inclusions
Journal of Nonlinear Mathematical Physics
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.
Publication Date
1-1-2005
Publication Date
01 Jan 2005
Disciplines
Citation Information
Christopher C. Tisdell and Martin Bohner. "Second Order Dynamic Inclusions" Journal of Nonlinear Mathematical Physics (2005) ISSN: 1402-9251 Available at: http://works.bepress.com/martin-bohner/103/