Mild solutions for nonlinear impulsive functional differential inclusions with nonlocal conditions



	Mild solutions for nonlinear impulsive functional differential inclusions with nonlocal conditions


	Fixed Point Theory, Volume 24, No. 1, 2023, 283-294, February 1st, 2023 DOI: 10.24193/fpt-ro.2023.1.15 Authors: Yan Luo Abstract: In this paper we investigate the existence of mild solutions for a class of first-order nonlinear impulsive functional differential inclusions with nonlocal condition in Banach spaces. Sufficient condition for the existence is obtained with the help of Martelli's fixed point theorem. We generalize some relevant results and give an example to illustrate the main result. Key Words and Phrases: Impulsive functional differential inclusions, nonlocal conditions, mild solutions, fixed point theorem. 2010 Mathematics Subject Classification: 34A60, 34A37, 47H10. Published on-line: February 1st, 2023. Fulltext pdf Back to volume's table of contents