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

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Authors :

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

Author Address :

1,2 Faculty 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.



Article Info :

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



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