Evaluation of the index and singular points of linear differential-algebraic equations of higher order

DOI10.1007/s10958-018-3852-7zbMath1458.65102OpenAlexW2804673382MaRDI QIDQ723524

Elena Victorovna Chistyakova, Viktor Filimonovich Chistyakov

Publication date: 23 July 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3852-7

zbMATH Keywords

singular pointsdifferential-algebraic ordinary differential equationsindex points

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

On singular points of linear differential-algebraic equations with perturbations in the form of integral operators ⋮ On existence and classification of singular points for higher order differential algebraic equations ⋮ On the relation between the properties of a degenerate linear-quadratic control problem and the Euler-Poisson equation

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• Application of matrix polynomials to the analysis of linear differential-algebraic equations of higher order
• Solvability of systems of Volterra integral equations of the fourth kind. I
• Generalizations of a theorem of doležal

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