Impulsive differential inclusions involving evolution operators in separable Banach spaces

• Date: 2012
• Main Authors: Benchohra, M., Nieto, J. J., Ouahab, A., Беньчохра, М., Ньєто, Дж. Дж., Оахаб, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2625
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present some results on the existence of mild solutions and study the topological structure of the sets of solutions for the following first-order impulsive semilinear differential inclusions with initial and boundary conditions: $$y'(t) − A(t)y(t) \in F(t, y(t)) \text{for a.e.} t \in J\...