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memory term
Description:
A history-dependent term in a differential equation that represents the influence of a system's past states on its present behavior.
Primary topic:
Stability and Controllability of Differential Equations (54%)
Related topic:
Stability and Controllability of Differential Equations (54%)
OpenAlex ID:
keywords/memory-term
Collocation Methods for Volterra Integral and Related Functional Differential Equations
2004
·
Hermann Brunner
·
Cambridge University Press eBooks
·
1,046
Energy decay for Timoshenko systems of memory type
2003
·
F. Ammar-Khodja
, A. Benabdallah
, et al.
·
Journal of Differential Equations
·
326
PDF
General decay of solutions of a viscoelastic equation
2007
·
Salim A. Messaoudi
·
Journal of Mathematical Analysis and Applications
·
281
Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping
2002
·
Marcelo M. Cavalcanti
, V. N. Domingos Cavalcanti
, et al.
·
DOAJ (DOAJ: Directory of Open Access Journals)
·
223
Decay estimates for second order evolution equations with memory
2007
·
Fatiha Alabau-Boussouira
, Piermarco Cannarsa
, et al.
·
Journal of Functional Analysis
·
219
PDF
Moore–Gibson–Thompson equation with memory, part II: General decay of energy
2015
·
Irena Lasiecka
, Xiaojun Wang
·
Journal of Differential Equations
·
172
PDF
Existence and asymptotic stability of a viscoelastic wave equation with a delay
2011
·
Mokhtar Kirane
, Belkacem Said-Houari
·
Zeitschrift für angewandte Mathematik und Physik
·
159
A model for one-dimensional, nonlinear viscoelasticity
1977
·
R. C. MacCamy
·
Quarterly of Applied Mathematics
·
150
PDF
The Halo Mass Function From Excursion Set Theory. I. Gaussian Fluctuations With Non-markovian Dependence on the Smoothing Scale
2010
·
Michele Maggiore
, Antonio Riotto
·
The Astrophysical Journal
·
143
PDF
Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
2000
·
M. Aassila
, M. M. Cavalcanti
, et al.
·
SIAM Journal on Control and Optimization
·
131
Delay-induced instabilities in nonlinear feedback systems
1994
·
W. Wischert
, A. Wunderlin
, et al.
·
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
·
131
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping
2004
·
Said Berrimi
, Salim A. Messaoudi
·
DOAJ (DOAJ: Directory of Open Access Journals)
·
126
Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel
1992
·
C. Chen
, V. Thom{ée
, et al.
·
Mathematics of Computation
·
123
PDF
Moore–Gibson–Thompson equation with memory, part I: exponential decay of energy
2016
·
Irena Lasiecka
, Xiaojun Wang
·
Zeitschrift für angewandte Mathematik und Physik
·
119
PDF
The Halo Mass Function from Excursion Set Theory. I. Gaussian Fluctuations with Non-Markovian Dependence on the Smoothing Scale
2010
·
Maggiore, Michele
, Riotto, Antonio Walter
·
Archive ouverte UNIGE (University of Geneva)
·
117
Applied Nonlinear Analysis
1999
·
Adélia Sequeira
, H. Beirão da Veiga
, et al.
·
International Linear Collider
·
112
Frequency spectrum and dynamic correlations of concentrated polymer liquids
1983
·
G. Ronca
·
The Journal of Chemical Physics
·
106
The force on an axisymmetric body in linearized, time-dependent motion: a new memory term
1986
·
C. J. Lawrence
, S. Weinbaum
·
Journal of Fluid Mechanics
·
100
Stability and exponential stability in linear viscoelasticity
2009
·
Vittorino Pata
·
Milan Journal of Mathematics
·
99
Finite-difference modeling of Biot's poroelastic equations across all frequencies
2010
·
Y. J. Masson
, S. R. Pride
·
Geophysics
·
98
Stabilization of a Thermoelastic Laminated Beam with Past History
2017
·
Wenjun Liu
, Weifan Zhao
·
Applied Mathematics & Optimization
·
90
The Halo Mass Function From Excursion Set Theory. Iii. Non-gaussian Fluctuations
2010
·
Michele Maggiore
, Antonio Riotto
·
The Astrophysical Journal
·
89
PDF
Fractional calculus-based firefly algorithm applied to parameter estimation of chaotic systems
2018
·
Yashar Mousavi
, Alireza Alfi
·
Chaos Solitons & Fractals
·
87
On the Stability of Timoshenko Systems With Gurtin-pipkin Thermal Law
2016
·
Vittorino Pata
·
87
Numerical Simulation of Viscoelastic Flow: A Review
1989
·
Marcel J. Crochet
·
Rubber Chemistry and Technology
·
87
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Works count:
1,008
Citation count:
12,260
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