Positive Solutions of Multipoint Φ-Laplacian BVPS With First-Order Derivative Dependence

Bachouche, Kamal; Tair, Hocine; Doǧan, Abdülkadir Muhittin

doi:10.1142/S179355712350105X

Positive Solutions of Multipoint Φ-Laplacian BVPS With First-Order Derivative Dependence

Abstract

This paper concerns existence of positive solutions for a second-order boundary value problem of Sturm-Liouville type associated with a φ-Laplacian operator and posed on a bounded interval. Existence results are obtained by an adapted version of the Krasnosel'skii's fixed point theorem of cone expansion and compression. Some examples illustrate our results. © 2023 Elsevier B.V., All rights reserved.

ORCID

0000-0002-3195-4718 View this author’s ORCID profile

Keywords

Multipoint Boundary Value Problems, Positive Solution, Φ -Laplacian, Boundary value problems on infinite intervals for ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, positive solution, Nonlocal and multipoint boundary value problems for ordinary differential equations, \(\phi\)-Laplacian, multipoint boundary value problems