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On the number of positive solutions of a nonlinear algebraic system
- Source :
-
Linear Algebra & its Applications . Apr2007, Vol. 422 Issue 2/3, p404-421. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we study the nonlinear algebraic system of the formwhere λ >0 is a parameter, x and F(x) denote the column vectors:respectively with f k : R → R, k ∈{1,2,…, n}=[1, n] and n is a positive integer. A =(a ij ) n × n is an n × n matrix and all its entries are positive numbers. Many problems in various areas such as difference equations, boundary value problems, dynamical networks, stochastic process, numerical analysis etc. can be converted to system (E). Applying fixed point theorems, we prove results on existence, uniqueness, multiplicity and nonexistence of positive solutions for (E). [Copyright &y& Elsevier]
- Subjects :
- *NUMERICAL analysis
*DIFFERENTIAL equations
*BOUNDARY value problems
*RANDOM walks
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 422
- Issue :
- 2/3
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 24220406
- Full Text :
- https://doi.org/10.1016/j.laa.2006.10.026