Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method

DOI10.1134/S001226611006011XzbMath1214.45006MaRDI QIDQ610368

A. V. Krasnik, Nikolay Aleksandrovich Sidorov, Denis Nikolaevich Sidorov

Publication date: 8 December 2010

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

zbMATH Keywords

successive approximation methodBanach spaceFredholm operatorcontinuous solutionVolterra operator-integral equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (6)

Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind ⋮ A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ Differential equations in Banach spaces with an noninvertible operator in the principal part and nonclassical initial conditions ⋮ Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels ⋮ The role of a priori estimates in the method of non-local continuation of solution by parameter ⋮ On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels

Cites Work

• Volterra integral equations
• Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind
• Linear Sobolev type equations and degenerate semigroups of operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method