Geodesic
The solvability of Volterra integro-differential equations with Fredholm operator in main part
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 3, pp. 73-93

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An initial value problem unique solvability in the classes of distributions and functions of finite smoothness is studied in this paper by the methods of the theory of fundamental operator-functions of integro-differential operators in Banach spaces.
Keywords: Banach space, Fredholm operator, fundamental operator-function.
Mots-clés : Jordan set, distribution 
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     author = {S. S. Orlov},
     title = {The solvability of {Volterra} integro-differential equations with {Fredholm} operator in main part},
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S. S. Orlov. The solvability of Volterra integro-differential equations with Fredholm operator in main part. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 3, pp. 73-93. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_3_a6/