The study of a fourth-order differential equation: existence, uniqueness and a dynamical system approach

This paper is concerned with the problem of existence and uniqueness of solutions for the semilinear fourth-order differential equation uiv – ku′′ + a(x)u+c(x) f (u) = 0. Existence and uniqueness is proved using variational methods and maximum principles. We also give a dynamical system approach to t...

Full description

Bibliographic Details
Main Author: Danet Cristian Paul
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2020/04/itmconf_icamnm2020_03005.pdf