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

نویسندگان
Halakoo, Osman ID 1
Azhini, Mahdi ID 2
Afrouzi, Ghasem ID 3

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

doi
10.22075/ijnaa.2021.4870
چکیده

‎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.

کلیدواژه‌ها
‎boundary value problem‎, ‎Sobolev space‎, ‎Critical point‎, ‎Three solutions‎, ‎Variational method‎