Author/Authors :
Halakoo, Osman Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran , Afrouzi, Ghasem A. Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran, Babolsar, Iran , Azhini, Mahdi Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract :
In this paper, we establish the existence of at least three weak solutions for some one-dimensional 2n-th-order equations in a bounded domain. A particular case and a concrete example are then presented.
Keywords :
Boundary value problem , Sobolev space , Critical point , Three solutions , Variational method