A representation formula for linear Volterra integral equations

DOI10.1090/S0002-9904-1973-13189-1zbMath0256.45003OpenAlexW2063662771MaRDI QIDQ5671151

Jim M. Cushing, John M. Bownds

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13189-1

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (9)

Derivation of variation of parameters formulas for non-linear Volterra equations, using a method of embedding ⋮ Volterra integral equations ⋮ On preserving stability of Volterra integral equations under a general class of perturbations ⋮ On strong stability for linear integral equations ⋮ On an initial-value method for quickly solving Volterra integral equations: A review ⋮ Boundary and initial-value methods for solving Fredholm equations with semidegenerate kernels ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems. II: Computation of resolvents ⋮ On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations

Cites Work

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• Pathology of infinite systems of linear first order differential equations with constant coefficients
• A stability theorem for nonlinear mixed integral equations
• On the linearization of Volterra integral equations
• Perturbations of Volterra integral equations
• Some stability theorems for systems of volterra integral equations
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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