General Decay Estimate of Energy for the Second Order Evolution Equations with Memory

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9397-x ◽

2008 ◽

Vol 110 (1) ◽

pp. 195-207 ◽

Author(s):

Xiaosen Han ◽

Mingxin Wang

Keyword(s):

Evolution Equations ◽

Decay Estimate ◽

Second Order ◽

General Decay ◽

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Decay mild solutions of the nonlocal Cauchy problem for second order evolution equations with memory

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2016.1.20 ◽

2016 ◽

pp. 1-15 ◽

Author(s):

Vu Trong Luong

Keyword(s):

Cauchy Problem ◽

Evolution Equations ◽

Mild Solutions ◽

Second Order ◽

Nonlocal Cauchy Problem ◽

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Stationary distributions of second order stochastic evolution equations with memory in Hilbert spaces

Stochastic Processes and their Applications ◽

10.1016/j.spa.2019.03.015 ◽

2020 ◽

Vol 130 (1) ◽

pp. 366-393

Author(s):

Kai Liu

Keyword(s):

Hilbert Spaces ◽

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Stationary Distributions ◽

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Decay estimates for second order evolution equations with memory

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.09.012 ◽

2008 ◽

Vol 254 (5) ◽

pp. 1342-1372 ◽

Author(s):

Fatiha Alabau-Boussouira ◽

Piermarco Cannarsa ◽

Daniela Sforza

Keyword(s):

Evolution Equations ◽

Second Order ◽

Decay Estimates ◽

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Stability Results for Second-Order Evolution Equations with Memory and Switching Time-Delay

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-016-9545-3 ◽

2016 ◽

Vol 29 (4) ◽

pp. 1309-1324 ◽

Author(s):

Cristina Pignotti

Keyword(s):

Evolution Equations ◽

Switching Time ◽

Second Order ◽

With Memory ◽

Stability Results

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A general stability result for second order stochastic quasilinear evolution equations with memory

Boundary Value Problems ◽

10.1186/s13661-020-01359-8 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Hui Yang ◽

Shiyue Fang ◽

Fei Liang ◽

Min Li

Keyword(s):

Evolution Equations ◽

Stability Result ◽

Second Order ◽

General Stability ◽

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General decay rate for a class of weakly dissipative second‐order systems with memory

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5554 ◽

2019 ◽

Vol 42 (8) ◽

pp. 2842-2853 ◽

Author(s):

Jamilu Hashim Hassan ◽

Salim A. Messaoudi

Keyword(s):

Second Order ◽

General Decay ◽

General Decay Rate ◽

Systems With Memory ◽

Second Order Systems ◽

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Asymptotic behavior for second order stochastic evolution equations with memory

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.05.054 ◽

2014 ◽

Vol 419 (2) ◽

pp. 1333-1350 ◽

Author(s):

Fei Liang ◽

Zhenhua Guo

Keyword(s):

Asymptotic Behavior ◽

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

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Existence and convergence of Galerkin approximation for second order hyperbolic equations with memory term

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22006 ◽

2015 ◽

Vol 32 (2) ◽

pp. 548-563

Author(s):

Fardin Saedpanah

Keyword(s):

Hyperbolic Equations ◽

Galerkin Approximation ◽

Second Order ◽

Memory Term ◽

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Controllability of Evolution Equations with Memory

SIAM Journal on Control and Optimization ◽

10.1137/151004239 ◽

2017 ◽

Vol 55 (4) ◽

pp. 2437-2459 ◽

Author(s):

Felipe W. Chaves-Silva ◽

Xu Zhang ◽

Enrique Zuazua

Keyword(s):

Evolution Equations ◽

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Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2010024 ◽

2010 ◽

Vol 17 (3) ◽

pp. 836-857 ◽

Author(s):

Hedy Attouch ◽

Paul-Émile Maingé

Keyword(s):

Asymptotic Behavior ◽

Evolution Equations ◽

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