DOI

Translated title of the contributionESTIMATES FOR SOLUTIONS TO A NONLINEAR SYSTEM WITH CONSTANT COEFFICIENTS IN LINEAR TERMS AND SEVERAL DELAYS: A class of nonlinear systems of differential equations with constant coefficients in linear terms and several delays is considered. The exponential stability of the zero solution is investigated. Estimates characterizing stabilization rates of solutions at infinity and estimates for attraction sets are established. A Lyapunov-Krasovskii functional of a special type is used for obtaining the results.
Original languageRussian
Pages (from-to)81-91
Number of pages11
JournalМатематические заметки СВФУ
Volume32
Issue number4
DOIs
Publication statusPublished - 2025

    State classification of scientific and technological information

  • 27 MATHEMATICS

    OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 1.02 COMPUTER AND INFORMATION SCIENCES

    Research areas

  • DELAY DIFFERENTIAL EQUATIONS, EXPONENTIAL STABILITY, LYAPUNOV-KRASOVSKII FUNCTIONAL, ESTIMATES FOR SOLUTIONS

ID: 75492736