Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions

DOI10.1134/S0012266121120107zbMath1486.45003OpenAlexW4214933734WikidataQ113786381 ScholiaQ113786381MaRDI QIDQ2670641

Denis Nikolaevich Sidorov, Nikolay Aleksandrovich Sidorov

Publication date: 11 March 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121120107

zbMATH Keywords

Volterra integral equationStieltjes integralbifurcation pointsasymptotics of the solution

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (2)

The linear Fredholm integral equations with functionals and parameters ⋮ On the solution of Hammerstein integral equations with loads and bifurcation parameters

Cites Work

• Convex majorants method in the theory of nonlinear Volterra equations
• Theory of equations of neutral type
• Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain
• On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels
• Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind
• Toward General Theory of Differential-Operator and Kinetic Models
• On the numerical solution of loaded systems of ordinary differential equations with nonseparated multipoint and integral conditions
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