ON THE MULTIPLE SOLUTIONS OF A NONHOMOGENEOUS
STURM-LIOUVILLE EQUATION WITH NONLOCAL
BOUNDARY CONDITIONS
A.M.A. El-Sayed1, M.Sh. Mohamed2, R.E.M. Embia3
1,2Faculty of Science
Alexandria University
Alexandria, EGYPT
3Faculty of Science
Benghazi University
Al-marj, LIBYA

Abstract

In this work, we are concerned with a nonlocal boundary value problem of nonhomogeneous Sturm-Liouville equation. Then existence of at least one solution will be proved. The spectral properties of the problem will be studied. The multiple solutions of the nonhomogeneous equation with the nonlocal boundary condition will be given.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 1
Year: 2019

DOI: 10.12732/ijam.v32i1.3

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