Eigenvalues of second-order difference equations with coupled boundary conditions

Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions

Boundary-value Problems for Second Order Difference Equations with a Spectral Parameter in the Boundary Conditions

This paper is concern with the boundary-value problem in the Hilbert space ) ( 2 N w l generated by an infinite Jacobi matrix with a spectral parameter in the boundary condition. We proved theorems on the completeness of the system of eigenvalues and eigenvectors of operator generated by boundary value problem.

A study of second-order q-difference equations with boundary conditions

This paper studies a boundary value problem of nonlinear second-order q-difference equations with non-separated boundary conditions. As a first step, the given boundary value problem is converted to an equivalent integral operator equation by using the q-difference calculus. Then the existence and uniqueness of solutions of the problem is proved via the resulting integral operator equation by m...

Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions

In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem....

Second-Order Boundary Value Problem with Integral Boundary Conditions