On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities

DOI10.1007/s11253-021-01944-9zbMath1490.34054OpenAlexW3213949610WikidataQ115379916 ScholiaQ115379916MaRDI QIDQ2057638

A. G. Chernikova, Vyacheslav Mikhaĭlovich Evtukhov

Publication date: 7 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01944-9

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities
• Regular variation and differential equations
• Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
• Regularly varying functions
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