Differential and Integral Equations

General decay to a von Kármán plate system with memory boundary conditions

M.L. Santos and A. Soufyane

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Abstract

In this paper we consider the von Kármán plate system subject to boundary conditions of memory type. We establish a general decay result, from which the usual exponential and polynomial decay rates are only special cases. Our work allows certain relaxation functions which are not necessarily of exponential or polynomial decay and therefore generalizes and improves earlier results in the literature.

Article information

Source
Differential Integral Equations, Volume 24, Number 1/2 (2011), 69-81.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019045

Mathematical Reviews number (MathSciNet)
MR2759352

Zentralblatt MATH identifier
1240.35548

Subjects
Primary: 74D10: Nonlinear constitutive equations 74K20: Plates 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20]

Citation

Santos, M.L.; Soufyane , A. General decay to a von Kármán plate system with memory boundary conditions. Differential Integral Equations 24 (2011), no. 1/2, 69--81. https://projecteuclid.org/euclid.die/1356019045


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