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

A. M. A. El-Sayed 1 *, Zaki. F. A. EL-Raheem 2 and N. A. O. Buhalima 3

doi:10.26637/MJM0602/0006

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

Authors :

A. M. A. El-Sayed ^{1 *}, Zaki. F. A. EL-Raheem ² and N. A. O. Buhalima ³

Author Address :

^1,2Faculty of Science, Alexandria University, Alexandria, Egypt.
³ Faculty of Science, Omar AlMukhtar University, Albada, Libya.

*Corresponding author.

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 equation.

Keywords :

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

DOI :

10.26637/MJM0602/0006

Article Info :

Received : July 24, 2017; Accepted : January 09, 2018.