Abstract
We consider a class of boundary value problems of the second order difference equation
The class of problems considered includes those with antiperiodic, Dirichlet, and periodic boundary conditions. We focus on the structure of eigenvalues of this class of problems and comparisons of all eigenvalues as the coefficients {a i } n i=1 ,{b i } n i=1 , and {r i } n i=0 change.
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Ji, J., Yang, B. Eigenvalue comparisons for second order difference equations with periodic and antiperiodic boundary conditions. J. Appl. Math. Comput. 27, 307–324 (2008). https://doi.org/10.1007/s12190-008-0039-2
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DOI: https://doi.org/10.1007/s12190-008-0039-2
Keywords
- Antiperiodic boundary condition
- Discrete boundary value problem
- Eigenvalue comparison
- Periodic boundary condition