naa a22 4500 510811795 CHVBK 20180411083446.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1134/S008154381302003X doi (NATIONALLICENCE)springer-10.1134/S008154381302003X Apartsin A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, ul. Lermontova 130, 664033, Irkutsk, Russia aut Polynomial Volterra integral equations of the first kind and the Lambert function [Elektronische Daten] [A. Apartsin] 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. Pleiades Publishing, Ltd., 2013 polynomial Volterra equations of the first kind nationallicence Lambert function nationallicence Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 280(2013-04-01), 26-38 0081-5438 280<26 2013 280 11501 https://doi.org/10.1134/S008154381302003X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S008154381302003X text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Apartsin A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, ul. Lermontova 130, 664033, Irkutsk, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 280(2013-04-01), 26-38 0081-5438 280<26 2013 280 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer