An abstract linear Volterra equation with a nonconvolution kernel
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- by T. Kiffe PDF
- 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.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 51-57
- MSC: Primary 45N05; Secondary 45D05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0603600-7
- MathSciNet review: 603600