An existence result of three solutions for a $\mathbf{2n}$-th-order boundary-value problem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 52، دوره 12، شماره 1، مرداد 2021، صفحه 679-691 اصل مقاله (435.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4870 | ||
| نویسندگان | ||
| Osman Halakoo1؛ Mahdi Azhini* 2؛ Ghasem Afrouzi3 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| 3Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 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 | ||
| مراجع | ||
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