On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels

DOI10.1134/S0001434614110170zbMath1328.47015MaRDI QIDQ2343923

Nikolay Aleksandrovich Sidorov, Denis Nikolaevich Sidorov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

successive approximation methodasymptotic approximationBanach spaceFredholm operatorJordan setVolterra operator equationFredholm point

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) Volterra integral equations (45D05)

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Cites Work

• Generalized solution to the Volterra equations with piecewise continuous kernels
• Convex majorants method in the theory of nonlinear Volterra equations
• Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method
• Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials
• Small solutions of nonlinear differential equations near branching points
• On models of developing systems and their applications
• Modeling and optimization of the lifetime of technologies
• On parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel
• Nonlinear operator equations with a functional perturbation of the argument of neutral type
• Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind
• Linear Sobolev type equations and degenerate semigroups of operators
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• Unnamed Item
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