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.
Recommended Citation
C. C. Tisdell and M. Bohner, "Second Order Dynamic Inclusions," Journal of Nonlinear Mathematical Physics, Atlantis Press, Jan 2005.
The definitive version is available at https://doi.org/10.2991/jnmp.2005.12.s2.4
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
International Standard Serial Number (ISSN)
1402-9251
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2005 Atlantis Press, All rights reserved.
Publication Date
01 Jan 2005
