Aims: In this paper an approximate method for the solution of third-order differential equation with two and three point boundary condition is developed using iterative reproducing kernel method. Methods: The third order boundary value problem is converted into integro-differential equation of second order two point boundary value problem. The reproducing kernel method which takes the form of a...

This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation point interaction and conditions depending on hyperbolic eigenvalue parameter. presents some spectral scattering properties of this BVP in terms Jost solution, solutions, function, continuous spectrum. In addition, the resolvent operator obtained to get eigenvalues. Furthermore, an example consider...

we investigate the boundary-value problem generated by the sturm-liouville equation withdiscontinuous coefficients, eigenparameter dependent boundary conditions and transmission conditionsat the point of discontinuity. with a different approach we introduce an adequate hilbert spaceformulation, investigate some properties of eigenvalues, green’s function and resolvent operator, andfind simple c...