Osman Halakoo, Mehdi Shabibi, Farshid Khojasteh, and Erdal Karapinar. Non-Trivial Weak Solution for 2n-th Order Boundary Value Problem. Dynamic Systems and Applications 30 (2021) No.1, 1-16

https://doi.org/10.46719/dsa20213011

ABSTRACT.

Mathematical modeling of natural phenomena leads to create new differential equations. However, the existence of a solution or some solutions for a differential equation is significant, considering new methods to investigate the solutions make the results more worthwhile and applicable. In this paper, using Ricceri’s Variational Principle, we prove the existence of at least a non-trivial weak solution for a 2n-th order boundary-value problem in a bounded.

Keywords: Boundary value problem; Sobolev space; Critical point; Weak solution; Variational method.

AMS (MOS) Subject Classification. 34B18, 58E30.