On some properties of degenerate linear systems

DOI10.1007/BF02487351zbMath0937.34006OpenAlexW2086978312MaRDI QIDQ4940408

V. P. Yakovets'

Publication date: 2 March 2000

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

Full work available at URL: https://doi.org/10.1007/bf02487351

zbMATH Keywords

Cauchy problemlinear differential equationsgeneral solutionperiodic solutiondegenerate systemcentral canonical form

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (4)

On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations ⋮ Asymptotic solutions of singularly perturbed differential algebraic equations with turning points ⋮ Bifurcation of solutions of singular Fredholm boundary value problems ⋮ Asymptotic stability of implicit differential systems in the vicinity of program manifold

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