This article is cited in 6 papers

Polynomial Volterra equations of the first kind and the Lambert function

A. S. Apartsyn

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences

Abstract: The role of the Lambert function in the theory of polynomial Volterra equations of the first kind is considered. New results are presented in addition to the known ones. In particular, the stability of a continuous solution of the first-kind polynomial Volterra equation of degree $N$ is investigated. Based on the techniques of majorant equations, sufficient stability conditions are obtained.

Keywords: polynomial Volterra equations of the first kind, Lambert function.

UDC: 518.517

Received: 12.07.2011

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