Polynomial Volterra integral equations of the first kind and the Lambert function

DOI10.1134/S008154381302003XzbMath1287.45001OpenAlexW2029277264MaRDI QIDQ2446994

Anatoliĭ Solomonovich Apartsin

Publication date: 23 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381302003x

zbMATH Keywords

stabilitycontinuous solutionLambert functionpolynomial Volterra equations of the first kind

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (3)

To the theory of Volterra integral equations of the first kind with discontinuous kernels ⋮ Using the nonclassical Volterra equations of the first kind to model the developing systems ⋮ On some classes of linear Volterra integral equations

Cites Work

• Studying the polynomial Volterra equation of the first kind for solution stability
• Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials
• Multilinear Volterra equations of the first kind and some problems of control
• Multilinear Volterra equations of the first kind
• On the Lambert \(w\) function
• Characteristic roots and stability domains of a dynamical system with delay
• Unimprovable estimates of solutions for some classes of integral inequalities
• Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

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