Existence of solutions for an n-dimensional operator equation and applications to BVPs

By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t)w_{ijk}(\Lambda_{ijk} [x_k])+(F_ix)(t),\quad...

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Bibliographic Details
Main Author: George L. Karakostas
Format: Article
Language:English
Published: Texas State University 2014-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/71/abstr.html