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Existence of Solutions to Boundary Value Problems for a Fourth-Order Difference Equation

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  • Xia Liu
  • Tao Zhou
  • Haiping Shi

Abstract

In this article, some new existence criteria of at least one solution to boundary value problems for a fourth-order difference equation are obtained by using the critical point theory. In a special case, a necessary and sufficient condition for the existence and uniqueness of solution is also established. An example of the main result is given.

Suggested Citation

  • Xia Liu & Tao Zhou & Haiping Shi, 2018. "Existence of Solutions to Boundary Value Problems for a Fourth-Order Difference Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-9, November.
    • Handle: RePEc:hin:jnddns:5278095
    DOI: 10.1155/2018/5278095
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