Open AccessMultiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions
Author(s) -
Ahmed M. A. ElSayed,
Eman M. A. Hamdallah,
Hameda M. A. Alama
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022624
Subject(s) - sturm–liouville theory , mathematics , eigenfunction , boundary value problem , mathematical analysis , eigenvalues and eigenvectors , nonlinear system , differential inclusion , value (mathematics) , physics , quantum mechanics , statistics
The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the nonhomogeneous Sturm-Liouville boundary value problem of differential equation with nonlocal integral condition is considered. The eigenvalues and eigenfunctions are investigated.