An $L^{1}$ remainder theorem for an integrodifferential equation with asymptotically periodic solution
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- by Kenneth B. Hannsgen PDF
- Proc. Amer. Math. Soc. 73 (1979), 331-337 Request permission
Abstract:
For a certain integrodifferential equation of Volterra type on $(0,\infty )$, with piecewise linear convolution kernel, it is shown that the solution is $u(t) = \alpha \;\cos \beta t + \rho (t)$, with $\rho \in {L^1}(0,\infty )$ and $\alpha$ and $\beta$ constant; $u’$ is represented similarly.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 331-337
- MSC: Primary 45D05; Secondary 45J05, 45M05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0518514-1
- MathSciNet review: 518514