Volume 3 - Issue 3 (2) | PP: 154 - 163
Language : English
DOI : https://doi.org/DOI:10.31559/glm2016.3.3.2
DOI : https://doi.org/DOI:10.31559/glm2016.3.3.2
484
29
Multiple Homoclinic Solutions for a Class of Superquadratic Fourth-order Differential Equations
| Received Date | Revised Date | Accepted Date | Publication Date |
| 28/10/2017 | 16/11/2017 | 25/12/2017 | 9/1/2018 |
Abstract
Applying a Symmetric Mountain Pass Theorem, we prove the existence of infinitely many homoclinic solutions for a class of fourth-order differential equations u(4)(x) + ωu00(x) + a(x)u(x) = f(x,u(x)), ∀x ∈R where a ∈ C(R,R) may be negative on a bounded interval and F(x,u) =Ru 0 f(x,t)dt is superquadratic at infinity in the second variable but does not need to satisfy the well-known Ambrosetti-Rabinowitz superquadratic growth condition.
How To Cite This Article
Timoumi , M. (2018). Multiple Homoclinic Solutions for a Class of Superquadratic Fourth-order Differential Equations . General Letters in Mathematics, 3 (3), 154-163, DOI:10.31559/glm2016.3.3.2
Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.