Second Order Dynamic Inclusions

Christopher C. Tisdell
Martin Bohner, Missouri University of Science and Technology

This document has been relocated to http://scholarsmine.mst.edu/math_stat_facwork/648

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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.