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Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
Authors:Yi Wang
Institution:School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, PR China
Abstract:This paper is concerned with periodic and antiperiodic boundary value problems for self-adjoint second-order difference equations. Existence of eigenvalues of these two different boundary value problems is proved, numbers of their eigenvalues are calculated, and their relationships are obtained. In addition, a representation of solutions of a nonhomogeneous linear equation with initial conditions is given.
Keywords:Self-adjoint second-order difference equation  Periodic boundary condition  Antiperiodic boundary condition  Eigenvalue problem
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