Convex Majorants Method in the Theory of Nonlinear Volterra Equations
Dynamical Systems
2011-01-26 v2 Functional Analysis
Abstract
The main solutions in sense of Kantorovich of nonlinear Volterra operator-integral equations are constructed. Convergence of the successive approximations is established through studies of majorant integral and majorant algebraic equations. Estimates are derived for the solutions and for the intervals on the right margin of which the solution has blow-up or solution start branching.
Keywords
Cite
@article{arxiv.1101.3963,
title = {Convex Majorants Method in the Theory of Nonlinear Volterra Equations},
author = {Denis Sidorov and Nikolay Sidorov},
journal= {arXiv preprint arXiv:1101.3963},
year = {2011}
}