Linear differential-algebraic equations perturbed by Volterra integral operators

DOI10.1134/S0012266117100044zbMath1386.45009OpenAlexW2770420930MaRDI QIDQ1701768

Viktor Filimonovich Chistyakov, Elena Victorovna Chistyakova

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117100044

zbMATH Keywords

Volterra integral operatorsLinear differential-algebraic equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05)

Related Items (7)

A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions ⋮ 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 ⋮ Properties of degenerate systems of linear integro-differential equations and initial value problems for these equations ⋮ On the relation between the properties of a degenerate linear-quadratic control problem and the Euler-Poisson equation ⋮ Improved estimates of the effect of perturbations on the solutions of linear differential-algebraic equations ⋮ Solution of differential algebraic equations with the Fredholm operator by the least squares method

Cites Work

• On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
• Differential-algebraic equations. A projector based analysis
• Regularizing properties of difference schemes for singular integral-differential equations
• Transformation of high order linear differential-algebraic systems to first order
• Application of matrix polynomials to the analysis of linear differential-algebraic equations of higher order
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
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