An existence result of three solutions for a $\mathbf{2n}$-th-order boundary-value problem

Document Type : Research Paper


1 Department of Mathematics‎, ‎Science and Research Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran

2 Department of Mathematics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Mazandaran‎, ‎Babolsar‎, ‎Iran

3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran


‎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.