On the existence of solutions for a sixth-order boundary value problem

Document Type : Original Paper

Authors

Department of Mathematics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous, Iran

Abstract

In this paper, by employing the variational method, we show that a boundary value problem of sixth order has infinitely many solutions. In fact, via a critical point theorem, we will present sufficient conditions such that the problem has a sequence of solutions in a suitable function space. Specific cases and an examples of results are also stated.

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History

  • Receive Date: 16 February 2024
  • Revise Date: 23 June 2024
  • Accept Date: 10 July 2024

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