Existence of solutions of nonlinear third-order two-point boundary value problems

We study various two-point boundary value problems for the equation $x'''=f(t,x,x',x'')$. Using barrier strips type conditions, we give sufficient conditions guaranteeing positive or non-negative, monotone, convex or concave $C^3[0,1]$-solutions.

Bibliographic Details
Main Authors: Petio Kelevedjiev, Todor Todorov
Format: Article
Language:English
Published: University of Szeged 2019-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7268