Article

Asymptotic behavior of Volterra type discrete dynamical systems

Dilfuza EshmamatovaTashkent State Transport University, Tashkent, UzbekistanRasul GanikhodzhaevNational University of Uzbekistan, Tashkent, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

One of the most important problems in the theory of dynamical systems is the investigation of the asymptotic behavior of trajectories. To study this problem, there are a number of classical as well as modern methods. In the theory of stability, the method of Lyapunov functions is considered to be the most effective. A fairly large number of works are known in which an analogue of the Lyapunov function method for discrete dynamical systems of Volterra type has been developed.

Topics

Elasticity and Wave Propagation Mathematical Control Systems and Analysis Advanced Differential Equations and Dynamical Systems

Identifiers

DOI: 10.1063/5.0194901

Citations and references

Cited by 4 9 references

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