The Cauchy problem for mechanical systems with a finite number of degrees of freedom as a problem of continuation with respect to the best parameter

DOI10.1016/0021-8928(94)90111-2zbMath0888.34001OpenAlexW2091627735MaRDI QIDQ1359868

E. B. Kuznetsov, V. I. Shalashilin

Publication date: 1 June 1998

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(94)90111-2

zbMATH Keywords

Cauchy problemaircraftstiff systemperturbed motion

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Multiple scale methods for ordinary differential equations (34E13)

Related Items (3)

Implicit algorithms for solving the Cauchy problem for the equations of the dynamics of mechanical systems ⋮ On implicit algorithms of continuation method with applications to dynamic systems. ⋮ Transformation of equations with retarded argument to equations with the best argument

Cites Work

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• The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
• On the solution of nonlinear boundary value problems of the theory of elasticity by a method of transformation to an initial value Cauchy problem
• The Application of Newton’s Method to the Problem of Elastic Stability

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