On the positive fixed points of quartic operators

TL;DR

This paper investigates the existence and number of positive fixed points for a specific quartic operator on -dimensional real space with positive coefficients, providing new theorems in this area.

Contribution

It introduces new theorems regarding the number of positive fixed points for quartic operators with positive coefficients on .

Findings

Proved theorems on the number of positive fixed points

Characterized conditions for fixed points existence

Enhanced understanding of quartic operator dynamics

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.