Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels

DOI10.3103/S1066369X13010064zbMath1268.45003MaRDI QIDQ1946914

Denis Nikolaevich Sidorov

Publication date: 10 April 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticssuccessive approximationscontinuous solutioncontinuous kernelsystems of Volterra integral equations of the first kind

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Related Items (11)

Power system parameters forecasting using Hilbert-Huang transform and machine learning ⋮ On the construction of the trajectory of a dynamical system with initial data on the hyperplanes ⋮ Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method ⋮ Legendre polynomials approximation method for solving Volterra integral equations of the first kind with discontinuous kernels ⋮ Lavrentiev regularization of integral equations of the first kind in the space of continuous functions ⋮ 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 ⋮ Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions ⋮ 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 ⋮ Solvability and Numerical Solutions of Systems of Nonlinear Volterra Integral Equations of the First Kind with Piecewise Continuous Kernels

Cites Work

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