## On the number of positive solutions of a nonlinear algebraic system.(English)Zbl 1121.39013

The authors deal with the existence, uniqueness, multiplicity and nonexistence of positive solutions for a nonlinear algebraic system of the form $$X=\lambda AF(x)$$, where $$\lambda> 0$$ is a parameter, $$x$$ and $$F(x)$$ are column vectors and $$A= (a_{ij})_{n\times n}$$ is an $$n\times n$$ square matrix with $$a_{ij}> 0$$ $$\forall(ij)\in \{1,2,\dots, n\}\times \{1,2,\dots, n\}$$. Examples of such problems from various areas are given, too.

### MSC:

 39A11 Stability of difference equations (MSC2000) 39A10 Additive difference equations

### Keywords:

difference equations
Full Text:

### References:

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