Open AccessOn the existence of solutions of one-dimensional fourth-order equations
Author(s) -
Saeid Shokooh,
G. A. Afrouzi,
Armin Hadjian
Publication year - 2020
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v72i11.569
Subject(s) - multiplicity (mathematics) , mathematics , order (exchange) , critical point (mathematics) , mathematical analysis , fixed point theorem , economics , finance
UDC 517.9Using variational methods and critical point theorems, we prove the existence of nontrivial solutions for one-dimensional fourth-order equations. Multiplicity results are also pointed out.