Convex majorants method in the theory of nonlinear Volterra equations
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Publication:437693
DOI10.15352/bjma/1337014661zbMath1246.45004arXiv1101.3963OpenAlexW1983079047MaRDI QIDQ437693
Denis Nikolaevich Sidorov, Nikolay Aleksandrovich Sidorov
Publication date: 18 July 2012
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.3963
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Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions ⋮ Basins of attraction and stability of nonlinear systems' equilibrium points ⋮ On the occasion of the 80th birthday of Professor N. A. Sidorov ⋮ Differential equations in Banach spaces with an noninvertible operator in the principal part and nonclassical initial conditions ⋮ On a class of nonlinear integral equations of the Hammerstein-Volterra type on a semiaxis ⋮ Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels ⋮ Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions ⋮ Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations ⋮ Classic solutions of boundary value problems for partial differential equations with operator of finite index in the main part of equation ⋮ On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation ⋮ On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels
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