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...

In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference schem...