EIGENVALUES AND EIGENFUNCTIONS OF NON-LOCAL BOUNDARY VALUE PROBLEMS OF THE STURM-LIOUVILLE EQUATION Vol. 5(1) Jan. 2017, No. 18, pp. 179-186 A. M. A. EL-SAYED, Z. F. A. EL-RAHEEM AND N. A. O. BUHALIMA

Abstract

The initial and boundary value problems of differential equations with nonlocal initial and nonlocal boundary conditions are of interests in applications. In this paper we study the existence and some general properties of eigenvalues and eigenfunctions of the boundary value problem of the Sturm-Liouville differential equation non-local boundary conditions.