ASYMPTOTICS OF THE SOLUTION OF THE СAUCHY PROBLEM IN THE CASE OF A CHANGE IN THE STABILITY OF A STATIONARY POINT IN THE PLANE OF “RAPID MOTIONS”

DOI10.17223/19988621/54/4zbMath1506.34116OpenAlexW2910220530MaRDI QIDQ5042959

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Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu659

zbMATH Keywords

singular perturbationsmall parameterCauchy problembisingular problemstationary phase methodasymptotic expansion of solutionsystem of ordinary differential equations with small parameter for derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (4)

ASYMPTOTIC SOLUTION OF THE DIRICHLET PROBLEM FOR A RING, WHEN THE CORRESPONDING UNPERTURBED EQUATION HAS A REGULAR SPECIAL CIRCLE ⋮ ASYMPTOTICS OF THE SOLUTION OF THE SINGULARLY PERTURBED СAUCHY PROBLEM IN THE CASE OF A CHANGE IN THE STABILITY, WHEN THE EIGENVALUES HAVE POLES ⋮ Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Singularly perturbed ordinary differential equation with turning point and interior layer

Cites Work

• Stability loss delay in a Ziegler system
• [https://portal.mardi4nfdi.de/wiki/Publication:5813729 Die Stabilit�tskriterien der Elastomechanik]
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