THE DEVELOPMENT OF EFFECTIVE METHODS FOR THE INVESTIGATION OF STABILITY OF DYNAMICAL SYSTEMS WITH AFTEREFFECT

Authors

  • K.M. Chudinov Perm National Research Polytechnic University

DOI:

Keywords:

dynamical system, aftereffect, differential equation, difference equation, the Cauchy matrix, stability, oscillation

Abstract

We consider the basic results obtained by a group of Perm mathematicians in 2013-15, in the framework of the execution of an initiative project supported by the RFBR and Perm Region, grant no.13-01-96050. The results represent effective conditions of certain asymptotic properties, primarily stability and oscillations, for continuous and discrete dynamical systems with aftereffect. The originality and significance of the obtained results are characterized by comparison with the best of the known results.

Supporting Agencies
Работа выполнена при финансовой поддержке РФФИ (проект № 13-01-96050).

Author Biography

  • K.M. Chudinov, Perm National Research Polytechnic University
    кандидат физико-математических наук, старший научный сотрудник

References

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Published

2017-09-05

Issue

No. 2 (2017)

Section

Research: theory and experiment

How to Cite

Chudinov, K. . (2017). THE DEVELOPMENT OF EFFECTIVE METHODS FOR THE INVESTIGATION OF STABILITY OF DYNAMICAL SYSTEMS WITH AFTEREFFECT. Perm Federal Research Centre Journal, 2, 84-88. https://journal.permsc.ru/index.php/pscj/article/view/PSCJ2017n2p12