Eigenfunction expansion of the Sturm-Liouville equation with a non-local boundary condition

A. M. A. El-Sayed; Zaki. F. A. EL-Raheem; N. A. O. Buhalima

doi:10.26637/MJM0602/0006

Abstract

In this work we study some spectral properties, normalized eigenfunction, Green’s function and
expansion formula of a nonlocal boundary value problem of the Sturm-Liouville equation.

Keywords:

Sturm-Liouville boundary value problem, nonlocal condition, normalized eigenfunction, expansion formula.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

A. M. A. El-Sayed Faculty of Science, Alexandria University, Alexandria, Egypt. https://orcid.org/0000-0001-7092-7950
Zaki. F. A. EL-Raheem Faculty of Education, Alexandria University, Alexandria, Egypt.
N. A. O. Buhalima Faculty of Science, Omar AlMukhtar University, Albada, Libya.

Pages: 338-343
Date Published: 01-04-2018
Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)

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