Geodesic
Method of monotone majorants of the theory of nonlinear Volterra equations
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 109-117

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The authors have constructed the main solutions of nonlinear operator-integral equations of Volterra in sense of Kantorovich. Convergence of the successive approximations is established through studies of majorants of integral and algebraic equations. Estimates are given for the solutions and for the intervals on which right margin the solution has the blow-up limit or start branching.
Mots-clés : majorants
Keywords: Volterra operator-integral equations, blow-up limit, successive approximations. 
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D. N. Sidorov. Method of monotone majorants of the theory of nonlinear Volterra equations. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 109-117. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a9/