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Positive solutions to semi-positone fourth-order $$\phi $$-Laplacian BVPs |
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| Authors: | Kamel?Bachouche Abdelhamid?Benmezai |
| Institution: | 1.Departement of Mathematics and Informatics, Faculty of Sciences,University Alger 1,Algiers,Algeria;2.Laboratory of Fixed Point Theory and Applications,école Normale Supérieure,Algiers,Algeria;3.Faculty of Mathematics,USTHB,Algiers,Algeria;4.Department of Mathematics, Faculty of Sciences,Al Imam Mohammad Ibn Saud Islamic University (IMSIU),Riyadh,Saudi Arabia |
| Abstract: | This work is devoted to proving existence of positive solutions to a fourth-order semipositone \(\phi \)-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. |
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