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Remotely Almost Periodic Solutions of Differential Equations

Programmee:State Programs and Grants
Code:25.80012.5007.77SE
Execution period:2025 – 2026
Institutions:Moldova State University, Vladimir Andrunachievici Institute of Mathematics and Computer Science
Project Leader:Ceban David
Participants: Sultan Andrei
Type :National framework for research and innovation projects "Stimulating excellence in research"

Summary

The problem of asymptotic behavior of movements of dynamical systems with unlimited growth over time is one of the central ones in the theory of dynamical systems and the qualitative theory of differential equations. The movements of dynamical systems with regular behavior at Infinity (such as asymptotically stationary, asymptotically periodi, asymptotically almost periodic, etc.) have been well studied and these results have been presented in numerous scientific publications (including monographs). As for the movements of dynamical systems with irregular (oscillatory) behavior at infinity, they are poorly studied. There are only a few publications on this topic. The main goal of this project is to formulate a problem and begin a systematic study of the movements of dynamical systems and solutions of differential equations with irregular behavior at Infinity.