Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points

DOI10.1134/S0965542517060094zbMath1387.34016OpenAlexW4231517219MaRDI QIDQ1682922

E. B. Kuznetsov, Sergey S. Leonov

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517060094

zbMATH Keywords

initial value problemsystem of ordinary differential equationsbest parametrizationlimiting singular pointmethod of solution continuation with respect to a parameter

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (3)

Passage through limiting singular points by applying the method of solution continuation with respect to a parameter in inelastic deformation problems ⋮ Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Examples of parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points

Uses Software

• RODAS

Cites Work

• Numerical continuation of solution at singular points of codimension one
• Parametrization of a solution at bifurcation points
• Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact
• The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
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