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A variational
framework for second-order backward discrete boundary value
problems
Liancheng Wang, Min Wang and James Zhang |
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Vol. 16 (2023), No. 1, 141–149
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Abstract |
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We study two types of second-order discrete boundary value problems involving backward difference operators. A new variational framework is developed and used to prove the existence of solutions to the boundary value problems by critical-point theory. An example is then provided to demonstrate the application of our theoretical results. |
Keywords
discrete boundary value problem, periodic boundary
conditions, antiperiodic boundary conditions, variational
methods, backward difference operator
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Mathematical Subject Classification
Primary: 39A27
Secondary: 39A23
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Milestones
Received: 9 October 2021
Revised: 8 January 2022
Accepted: 12 January 2022
Published: 14 April 2023
Communicated by Martin J. Bohner
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Authors |
| Liancheng Wang | |
| Department of Mathematics Kennesaw State University Marietta, GA United States |
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| Min Wang | |
| Department of Mathematics Kennesaw State University Marietta, GA United States |
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| James Zhang | |
| The Lawrenceville School Lawrence Township, NJ United States |
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| © 2023 MSP (Mathematical Sciences Publishers). |
