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.
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 http://dx.doi.org/10.2991/jnmp.2005.12.s2.4
Mathematics and Statistics
Australian Research Council
Keywords and Phrases
Dynamic Inclusions; Fixed Point Theory; Green's Functions; Difference Inclusions; Differential Inclusions
Article - Journal
© 2005 Atlantis Press, All rights reserved.