Compulsory asymptotic behavior of solutions of systems of three discrete equations

Year, pages: 2007, 89 - 100

This contribution is devoted to a discussion of the asymptotic behavior of solutions of system of three difference equations We connect two techniques – the so called retract type technique and Liapunov type approach. We show that under appropriate conditions containing conditions typical for the retract technique approach, and conditions typical for the Liapunov type approach, there exists at least one solution of the considered system the graph of which stays in a prescribed domain.

Hlavičková, I. 2007. Compulsory asymptotic behavior of solutions of systems of three discrete equations. In Tatra Mountains Mathematical Publications, vol. 38, no.4, pp. 89-100. 1210-3195.

Hlavičková, I. (2007). Compulsory asymptotic behavior of solutions of systems of three discrete equations. Tatra Mountains Mathematical Publications, 38(4), 89-100. 1210-3195.