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Abstract
A second-order discrete boundary value problem with mixed periodic boundary
conditions is studied. Sufficient conditions on the multiplicity of solutions in a weak
sense are obtained by using the critical point theory. An example is given to
demonstrate the applications of our results as well.
Keywords
discrete boundary value problem, mixed periodic boundary
conditions, variational methods
Mathematical Subject Classification 2010
Primary: 34B15, 39A23
Milestones
Received: 9 March 2020
Revised: 27 March 2020
Accepted: 28 April 2020
Published: 20 November 2020
Communicated by Johnny Henderson
© 2020 MSP (Mathematical Sciences
Publishers).