Abstract
Based on the Krasnoselskii theorem, we study the existence, multiplicity and nonexistence of positive solutions of general systems of nonlinear algebraic equations under superlinearity and sublinearity conditions. Systems of nonlinear algebraic equations often arise from studies of differential and difference equations. Our results significantly extend and improve those in the literature. A number of examples and open questions are given to illustrate these results.
Original language | English (US) |
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Pages (from-to) | 585-600 |
Number of pages | 16 |
Journal | Journal of Applied Mathematics and Computing |
Volume | 38 |
Issue number | 1-2 |
DOIs | |
State | Published - Feb 1 2012 |
Keywords
- Cone
- Krasnoselskii fixed point theorem
- Nonlinear algebraic system
- Positive solution
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics