Geodesic
On equivalent norms in the theory of Volterra polinomial equations of the first kind
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 1, pp. 19-29

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The paper suggests a method for construction of equivalent norms in studies on existence of local continuous solutions of the Volterra polynomial integral equations of the fist kind. The method is based on solution of the majorant Cauchy problems.
Keywords: majorant integral equations; majorant Cauchy problems; contraction mapping; Lambert function. 
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     author = {A. S. Apartsyn},
     title = {On equivalent norms in the theory of {Volterra} polinomial equations of the first kind},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
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A. S. Apartsyn. On equivalent norms in the theory of Volterra polinomial equations of the first kind. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 1, pp. 19-29. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_1_a1/