The set of solutions to a nonlinear integrodifferential equation in N variables


	Open access
	The set of solutions to a nonlinear integrodifferential equation in N variables


	Fixed Point Theory, Volume 20, No. 1, 2019, 255-270, February 1st, 2019 DOI: 10.24193/fpt-ro.2019.1.17 Authors: Le Thi Phuong Ngoc, Huynh Thi Hoang Dung and Nguyen Thanh Long Abstract: In this paper, we study the existence and the compactness of the set of solutions for a nonlinear integrodifferential equation in N variables. The main tools are the fixed point theorem of Krasnosel'skii with the definition of a suitable Banach space and a sufficient condition for relative compactness of subsets in this space. An illustrative example is given. Key Words and Phrases: Nonlinear integrodifferential equation, the fixed point theorem of Krasnosel'skii. 2010 Mathematics Subject Classification: 45G10, 47H10, 47N20, 65J15. Published on-line: February 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents