Geodesic
Polynomial Volterra equations of the first kind and the Lambert function
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 69-81

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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. 
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     author = {A. S. Apartsyn},
     title = {Polynomial {Volterra} equations of the first kind and the {Lambert} function},
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A. S. Apartsyn. Polynomial Volterra equations of the first kind and the Lambert function. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 69-81. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a5/