Existence of solutions to a fourth order <em>Φ</em>-Laplacian bvp on the half-line using nonordered upper and lower solutions



	Existence of solutions to a fourth order Φ-Laplacian bvp on the half-line using nonordered upper and lower solutions


	Fixed Point Theory, Volume 26, No. 2, 2025, 679-696, May 1st, 2025 DOI: 10.24193/fpt-ro.2025.2.21 Authors: A. Zerki, K. Bachouche and K. Ait-Mahiout Abstract: In this paper, we consider the following fourth-order boundary value problem on the half line of Sturm-Liouville type associated with a Φ-Laplacian operator The existence of solutions is obtained by using the Schauder fixed point theorem together with nonordered lower and upper solution method. Key Words and Phrases: Boundary value problem, differential equations, one-sided Nagumo condition, lower and upper solutions, a priori estimates. 2010 Mathematics Subject Classification: 34B10, 34B15, 34B40, 47H10. Published on-line: May 1st, 2025. Fulltext pdf Back to volume's table of contents