To the theory of Volterra integral equations of the first kind with discontinuous kernels

DOI10.1134/S0965542516050067zbMath1361.65096OpenAlexW2493250134MaRDI QIDQ327063

Anatoliĭ Solomonovich Apartsin

Publication date: 13 October 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516050067

zbMATH Keywords

quadrature methoddeveloping systemslinear Volterra integral equations or the first kindpiecewise smooth kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (1)

On the test Volterra equations of the first kind in the integral models of developing systems

Uses Software

• LambertW

Cites Work

• Using the nonclassical Volterra equations of the first kind to model the developing systems
• Applied mathematical modelling of engineering problems
• On some classes of linear Volterra integral equations
• Multilinear Volterra equations of the first kind
• On the Lambert \(w\) function
• On parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel
• Polynomial Volterra integral equations of the first kind and the Lambert function
• Characteristic roots and stability domains of a dynamical system with delay
• Volterra linear integral equations of the first and third kinds
• On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind
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