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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Format: | Article |
Language: | English |
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Texas State University
2014-03-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2014/71/abstr.html |