Abstract
By using variational methods and critical point theory, we obtain criteria for the existence of at least three solutions for a generalized fourth order nonlinear difference equation together with periodic boundary conditions. Various special cases of the above problem are discussed. An example is included to illustrate the results.
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Dhar, S., Kong, L. Existence of Multiple Solutions to a Discrete Fourth Order Periodic Boundary Value Problem via Variational Method. Differ Equ Dyn Syst 30, 861–872 (2022). https://doi.org/10.1007/s12591-018-0432-8
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DOI: https://doi.org/10.1007/s12591-018-0432-8