Numerical methods for solution of Volterra and Fredholm integral equations for functions with values in \(L\)-spaces

DOI10.1016/j.amc.2016.07.024zbMath1410.65486OpenAlexW2486637438MaRDI QIDQ1733762

Vira Babenko

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.07.024

zbMATH Keywords

algorithmsapproximation\(L\)-spaceset-valued and fuzzy-valued functionsVolterra and Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (4)

Existence and uniqueness theorem for set-valued Volterra–Hammerstein integral equations ⋮ Existence of solutions of linear set-valued integral equations and their properties ⋮ One time-optimal problem for a set-valued linear control system ⋮ Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations

Cites Work

• One-sided fuzzy numbers and applications to integral equations from epidemiology
• Metric spaces of fuzzy sets
• Fuzzy mathematics: approximation theory
• Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
• On interpolational and extremal properties of periodic perfect splines
• Approximation of Set-Valued Functions
• Theory and applications of fuzzy Volterra integral equations
• The Numerical Solution of Integral Equations of the Second Kind
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