On parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel

DOI10.1134/S0012266113020079zbMath1348.45002MaRDI QIDQ1955653

Denis Nikolaevich Sidorov

Publication date: 17 June 2013

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

zbMATH Keywords

continuous solutionsVolterra integral equationsasymptotic approximationspiecewise smooth kernel

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (14)

Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind ⋮ Legendre polynomials approximation method for solving Volterra integral equations of the first kind with discontinuous kernels ⋮ To the theory of Volterra integral equations of the first kind with discontinuous kernels ⋮ Numeric solution of Volterra integral equations of the first kind with discontinuous kernels ⋮ A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ The linear Fredholm integral equations with functionals and parameters ⋮ Unnamed Item ⋮ On some classes of linear Volterra integral equations ⋮ Numerical Analysis of Fractional Order Integral Dynamical Models with Piecewise Continuous Kernels ⋮ A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations ⋮ On the test Volterra equations of the first kind in the integral models of developing systems ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ Control of accuracy on Taylor-collocation method for load leveling problem ⋮ On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels

Cites Work

• Method of monotone majorants of the theory of nonlinear Volterra equations
• 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
• Integral operators with kernels that are discontinuous on broken lines
• Unnamed Item
• Unnamed Item

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