On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations

DOI10.1007/s11253-013-0780-zzbMath1290.34012OpenAlexW1985415800MaRDI QIDQ384017

V. P. Yakovets', S. P. Pafyk

Publication date: 25 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0780-z

zbMATH Keywords

linear systemsdifferential-algebraic systemslinear equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30)

Related Items (6)

Asymptotics of the general solution of a linear homogeneous singularly perturbed system of differential equations for problems of the stability dynamics of circular cylindrical shells ⋮ Asymptotic solutions of singularly perturbed differential algebraic equations with turning points ⋮ Linear differential-algebraic equations perturbed by Volterra integral operators ⋮ Evaluation of the index and singular points of linear differential-algebraic equations of higher order ⋮ Asymptotic analysis of the general solution of a linear singularly perturbed system of higher-order differential equations with degenerations ⋮ Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil

Cites Work

• On some properties of degenerate linear systems
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