On the positive fixed points of quartic operators

Abstract

In this paper we consider a one quartic operator on the ${\mathbb{R}}^2$ with positive coefficients. Positive fixed points for a quartic operator, were investigated. Theorems on number of positive fixed points of the quartic operator, are proved.

References in corpus (1)

• Uniqueness of Gibbs Measure for Models With Uncountable Set of Spin Values on a Cayley Tree