关于动态拟周期系统的收敛性

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2022-01-01 DOI:10.21638/11701/spbu10.2022.106

Sergey A. Strekopytov, M. Strekopytova

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引用次数: 0

摘要

研究了一类具有准周期右侧的非自治微分方程系统在独立辐角中的收敛性问题。提出用考虑由微分方程产生的动态拟周期系统的运动来代替对所考虑的微分方程系统的解集的考虑。得到了动态拟周期系统具有收敛性的充分必要条件，并给出了证明。

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On the convergence of dynamic quasiperiodic systems

The convergence problem for non-autonomous systems of differential equations with a quasiperiodic right-hand side in an independent argument is considered. It is proposed to replace the consideration of the set of solutions of the system of differential equations under consideration by considering the movements of a dynamic quasi-periodic system generated by these differential equations. Necessary and sufficient conditions are obtained when a dynamic quasi-periodic system has the convergence property, and a proof is given.

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.