Impulsive differential inclusions involving evolution operators in separable Banach spaces

• Published in: Український математичний журнал
• Date: 2012
• ISSN: 1027-3190
• Main Authors: Benchohra, M., Nieto, J.J., Ouahab, A.
• Format: Article
• Language: English
• Published: Український математичний журнал 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164445
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Impulsive differential inclusions involving evolution operators in separable Banach spaces / M. Benchohra, J.J. Nieto, A. Ouahab // Український математичний журнал. — 2012. — Т. 64, № 7. — С. 867-891. — Бібліогр.: 63 назв. — англ.

We present some results on the existence of mild solutions and study the topological structures of the sets of solutions for the following first-order impulsive semilinear differential inclusions with initial and boundary conditions:
 where J=R+, 0 = t 0 < t 1 < … < t m...