An abstract linear Volterra equation with a nonconvolution kernel

Kiffe, T.

doi:10.1090/S0002-9939-1981-0603600-7

An abstract linear Volterra equation with a nonconvolution kernel
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Proc. Amer. Math. Soc. 82 (1981), 51-57 Request permission

Abstract:

This paper is concerned with the existence and uniqueness of solutions to the equation $x(t) + \int _0^t {a(t,\tau )Ax(\tau )d\tau = f(t)}$ where $A$ is an unbounded, positive, selfadjoint operator on a Hilbert space. A representation is given for the solution of this equation.

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On Volterra equations with nonconvolution kernels

On a linear Volterra equations in a Hilbert space

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