Eigenvalue intervals for iterative systems of second-order nonlinear equations with impulses and m-point boundary conditions



	Eigenvalue intervals for iterative systems of second-order nonlinear equations with impulses and m-point boundary conditions


	Fixed Point Theory, Volume 25, No. 1, 2024, 289-308, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.18 Authors: Dondu Oz and Ilkay Yaslan Karaca Abstract: This paper is devoted to determining the eigenvalue intervals of the parameters λ₁, λ₂, ..., λ_n for which there exist positive solutions of the iterative systems of second-order with m-point impulsive boundary value problem. We use the Guo-Krasnosel'skii fixed point theorem on the cones in order to achieve our results. An example is also presented to demonstrate the applicability of the main results obtained. Key Words and Phrases: Impulsive boundary value problems, positive solutions, m-point, fixed point theorems, iterative systems, eigenvalue interval, Green's function. 2010 Mathematics Subject Classification: 34B37, 34B18, 34B15, 47H10. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents