Uniform asymptotic stability via Liapunov-Razumikhin technique
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- by James H. Liu PDF
- Proc. Amer. Math. Soc. 123 (1995), 2465-2471 Request permission
Abstract:
The Liapunov-Razumikhin technique is applied to obtain the uniform asymptotic stability for linear integrodifferential equations in Hilbert spaces, \[ x’(t) = A\left [ {x(t) + \int _\# ^t {F(t - s)x(s) ds} } \right ],\quad t \geq {t_0} \geq 0(\# = 0\;{\text {or}} - \infty ),\] which occur in viscoelasticity and in heat conduction for materials with memory.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2465-2471
- MSC: Primary 45J05; Secondary 34K20, 45M10
- DOI: https://doi.org/10.1090/S0002-9939-1995-1257116-8
- MathSciNet review: 1257116