Positive solutions to semi-positone fourth-order -Laplacian BVPs

Kamel Bachouche; Abdelhamid Benmezai; S. Djebali

doi:10.1007/s11117-016-0415-3

Back

Positive solutions to semi-positone fourth-order -Laplacian BVPs

Journal article

Peer reviewed

Positive solutions to semi-positone fourth-order -Laplacian BVPs

Kamel Bachouche, Abdelhamid Benmezai and S. Djebali

Positivity : an international journal devoted to the theory and applications of positivity in analysis, Vol.21(1), pp.193-212

01/03/2017

DOI: https://doi.org/10.1007/s11117-016-0415-3

Abstract

Mathematics

Physical Sciences

Science & Technology

This work is devoted to proving existence of positive solutions to a fourth-order semipositone -Laplacian boundary problem. The nonlinearity may have time-singularity and change sign. Existence results are proved using the Krasnosel'skii and the Leggett-Williams fixed point theorems and examples of applications are provided.

Metrics

1 Record Views

Details

Title: Positive solutions to semi-positone fourth-order -Laplacian BVPs
Creators - without role: Kamel Bachouche - Univ Alger 1, Dept Math & Informat, Fac Sci, Algiers, Algeria
Abdelhamid Benmezai - Ecole Normale Super, Lab Fixed Point Theory & Applicat, BP 92, Algiers 16006, Algeria
S. Djebali - Islamic University
Publication Details: Positivity : an international journal devoted to the theory and applications of positivity in analysis, Vol.21(1), pp.193-212
Publisher: Springer Nature
Number of pages: 20
Identifiers: 9916490208331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article