On the existence of solutions of one-dimensional fourth-order equations

  • S. Shokooh Gonbad Kavous Univ., Iran
  • G. A. Afrouzi Univ. Mazandaran, Babolsar, Iran
  • A. Hadjian Univ. Bojnord, Iran
Keywords: Non-trivial solution, Variational methods, Dirichlet problem

Abstract

UDC 517.9

Using variational methods and critical point theorems, we prove the existence of nontrivial solutions for one-dimensional fourth-order equations. Multiplicity results are also pointed out.

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Published
20.11.2020
How to Cite
ShokoohS., Afrouzi G. A., and HadjianA. “On the Existence of Solutions of One-Dimensional Fourth-Order Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 11, Nov. 2020, pp. 1575-88, doi:10.37863/umzh.v72i11.569.
Section
Research articles