Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions |
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Authors: | Yi Wang |
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Institution: | School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, PR China |
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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. |
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Keywords: | Self-adjoint second-order difference equation Periodic boundary condition Antiperiodic boundary condition Eigenvalue problem |
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