In this paper we consider the nonlinear system \(\gamma _i(x_i)=\sum _{j=1}^{m}g_{ij} (x_j)\), \( 1\le i \le m\). We give sufficient conditions which imply the existence and uniqueness of positive solutions of the system. Our theorem extends earlier results known in the literature. Several examples illustrate the main result.
['István Győri', 'Ferenc Hartung', 'Nahed A. Mohamady']
Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations