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Zbl 1231.34107
Ji, Shaochun; Li, Gang
Existence results for impulsive differential inclusions with nonlocal conditions. (English)
[J] Comput. Math. Appl. 62, No. 4, 1908-1915 (2011). ISSN 0898-1221

Summary: We establish sufficient conditions for the existence of mild solutions for nonlocal impulsive differential inclusions. On the basis of the fixed point theorems for multivalued maps and the technique of approximate solutions, new results are obtained. Examples are also provided to illustrate our results.
MSC 2000:
*34G25 Evolution inclusions
34B10 Multipoint boundary value problems
34B37 Boundary value problems with impulses
34A60 ODE with multivalued right-hand sides

Keywords: impulsive differential inclusions; nonlocal conditions; fixed point theorems; multivalued analysis; mild solutions

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