Linear Volterra integral equations as the limit of discrete systems

DOI10.1007/s10255-004-0200-0zbMath1067.45005OpenAlexW1984393446MaRDI QIDQ705047

D. Kharzeev

Publication date: 25 January 2005

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0200-0

zbMATH Keywords

continuous solutionsHenstock integralBanach spacelinear Volterra integral equationBochner Integraldiscrete Styltjes-type system

Mathematics Subject Classification ID

Volterra integral equations (45D05) Denjoy and Perron integrals, other special integrals (26A39) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

On some Volterra and Fredholm problems via the unified integrodifferential quadrature method ⋮ On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil ⋮ A multistep Legendre pseudo-spectral method for nonlinear Volterra integral equations ⋮ Legendre spectral Galerkin method for second-kind Volterra integral equations

Cites Work

• Linear integral equations of Volterra concerning Henstock integrals
• The fundamental theorem of calculus for multidimensional Banach space-valued Henstock vector integrals
• Linear Volterra integral equations.
• Some peculiarities of the Henstock and Kurzweil integrals of Banach space-valued functions
• Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions
• A Unified Theory of Integration
• Linear Stieltjes equation with generalized Riemann integral and existence of regulated solutions
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