An Abstract Linear Volterra Equation with a Nonconvolution Kernel

DOI10.2307/2044315zbMath0461.45012OpenAlexW4231256287MaRDI QIDQ3910928

Thomas R. Kiffe

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044315

zbMATH Keywords

Hilbert spacespectral decompositionresolvent kernelsstrong and weak solutionsnonconvolution kernelabstract linear Volterra equationselfadjoint, unbounded, positive operator

Mathematics Subject Classification ID

Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (1)

A locking-free finite element formulation for a non-uniform linear viscoelastic Timoshenko beam

Cites Work

• Unnamed Item
• On positive, nonincreasing resolvents of Volterra equations
• Properties and Applications of the Resolvent Operator to a Volterra Integral Equation in Hilbert Space
• The Resolvent Kernel of an Integrodifferential Equation in Hilbert Space
• Abstract Linear and Nonlinear Volterra Equations Preserving Positivity
• Volterra Integral Equations in Banach Space

This page was built for publication: An Abstract Linear Volterra Equation with a Nonconvolution Kernel