Rochdi Jebari, Abderrahman Boukricha
Positive solutions for a system of third-order differential equation with multi-point and integral conditions

Abstract:This paper concerns the following system of nonlinear third-order boundary value problem: \begin{equation*} u_{i}'''(t)+f_{i}(t,u_{1}(t),\dots ,u_{n}(t),u'_{1}(t),\dots ,u'_{n}(t))= 0, \ 00$, $0

Keywords: third-order differential equation; multi-point and integral boundary conditions; Guo-Krasnosel'skii fixed point theorem in cone; positive solutions

DOI: DOI 10.14712/1213-7243.2015.117
AMS Subject Classification: 34B15 34B18 34B27