Generalized Cauchy problems involving nonlocal and impulsive conditions

Authors: Trần Đình Kế, Nguyễn Minh Chương,

https://doi.org/10.1007/s00028-012-0136-4

Publisher, magazine: ,

Publication year: 2012

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Abstract

We study the abstract Cauchy problem involving a class of nonlinear differential inclusions, with impulsive and nonlocal conditions. By using MNC estimates, the existence result and continuous dependence on initial data of the solution set are proved.

Tags: Generalized Cauchy problem, Nonlocal condition, Impulsive condition, Nondensely defined operator, Condensing map, Fixed point theorem, Multimap, Measure of noncompactness, MNC estimate