-
1
-
-
0024680548
-
Feedback control of a hyperbolic partial differential equation with viscoelastic damping
-
J. A. Burns and R. H. Fabiano, Feedback control of a hyperbolic partial differential equation with viscoelastic damping, Control Theory and Advanced Technology, Vol. 5, No. 2, 1989, pp. 157-188
-
(1989)
Control Theory and Advanced Technology
, vol.5
, Issue.2
, pp. 157-188
-
-
Burns, J.A.1
Fabiano, R.H.2
-
3
-
-
84972433990
-
The decay of energy in a viscoelastic body
-
W. A. Day, The decay of energy in a viscoelastic body, Mathematika, Vol. 27, 1980, pp. 268-286
-
(1980)
Mathematika
, vol.27
, pp. 268-286
-
-
Day, W.A.1
-
4
-
-
0000673777
-
On the existence and the asymptotic stability of solution to the equations of linear thermoelasticity
-
C. M. Dafermos, On the existence and the asymptotic stability of solution to the equations of linear thermoelasticity, Arch. Rat. Mech. Anal. 29, 241-271 (1968)
-
(1968)
Arch. Rat. Mech. Anal.
, vol.29
, pp. 241-271
-
-
Dafermos, C.M.1
-
5
-
-
0001629395
-
Asymptotic stability in viscoelasticity
-
C. M. Dafermos, Asymptotic stability in viscoelasticity, Arch. Rat. Mech. Anal. 37, 297-308 (1970)
-
(1970)
Arch. Rat. Mech. Anal.
, vol.37
, pp. 297-308
-
-
Dafermos, C.M.1
-
6
-
-
0001029815
-
An abstract Volterra equation with applications to linear viscoelasticity
-
C. M. Dafermos, An abstract Volterra equation with applications to linear viscoelasticity, J. Differential Equations 7, 554-569 (1970)
-
(1970)
J. Differential Equations
, vol.7
, pp. 554-569
-
-
Dafermos, C.M.1
-
7
-
-
38249035498
-
Exponential stabilization of Volterra integrodifferential equations in Hilbert space
-
W. Desch and R. K. Miller, Exponential stabilization of Volterra integrodifferential equations in Hilbert space, J. Differential Equations 70, 366-389 (1987)
-
(1987)
J. Differential Equations
, vol.70
, pp. 366-389
-
-
Desch, W.1
Miller, R.K.2
-
8
-
-
4944257781
-
Exponential stabilization of Volterra integral equations with singular kernels
-
W. Desch and R. K. Miller, Exponential stabilization of Volterra integral equations with singular kernels, J. Integral Equations Appl. 1, 397-433 (1988)
-
(1988)
J. Integral Equations Appl.
, vol.1
, pp. 397-433
-
-
Desch, W.1
Miller, R.K.2
-
9
-
-
0000201319
-
Semigroup theory and numerical approximation for equations in linear viscoelasticity
-
R. H. Fabiano and K. Ito, Semigroup theory and numerical approximation for equations in linear viscoelasticity, SIAM J. Math. Anal. 21 (2), 374-393 (1990)
-
(1990)
SIAM J. Math. Anal.
, vol.21
, Issue.2
, pp. 374-393
-
-
Fabiano, R.H.1
Ito, K.2
-
10
-
-
5244263816
-
An approximation framework for equations in linear viscoelasticity with strongly singular kernels
-
R. H. Fabiano and K. Ito, An approximation framework for equations in linear viscoelasticity with strongly singular kernels, Quart. Appl. Math. 52, 65-81 (1994)
-
(1994)
Quart. Appl. Math.
, vol.52
, pp. 65-81
-
-
Fabiano, R.H.1
Ito, K.2
-
11
-
-
0000329615
-
On the existence and asymptotic stability of solutions for linearly viscoelastic solids
-
M. Fabrizio and B. Lazzari, On the existence and asymptotic stability of solutions for linearly viscoelastic solids, Arch. Rat. Mech. Anal. 116, 139-152 (1991)
-
(1991)
Arch. Rat. Mech. Anal.
, vol.116
, pp. 139-152
-
-
Fabrizio, M.1
Lazzari, B.2
-
12
-
-
0026922943
-
Approximation in control of thermoelastic systems
-
J. S. Gibson, I. G. Rosen, and G. Tao, Approximation in control of thermoelastic systems, SIAM J. Control and Optimization 30 5, 1163-1189 (1992)
-
(1992)
SIAM J. Control and Optimization
, vol.30
, Issue.5
, pp. 1163-1189
-
-
Gibson, J.S.1
Rosen, I.G.2
Tao, G.3
-
13
-
-
0003375955
-
Exponential energy decay in a linear thermoelastic rod
-
S. W. Hansen, Exponential energy decay in a linear thermoelastic rod, J. Math. Anal. Appl. 167, 429-442 (1992)
-
(1992)
J. Math. Anal. Appl.
, vol.167
, pp. 429-442
-
-
Hansen, S.W.1
-
14
-
-
0000374811
-
Characteristic condition for exponential stability of linear dynamical systems in Hilbert spaces
-
F. L. Huang, Characteristic condition for exponential stability of linear dynamical systems in Hilbert spaces, Ann. Differential Equations 1 (1), 43-56 (1985)
-
(1985)
Ann. Differential Equations
, vol.1
, Issue.1
, pp. 43-56
-
-
Huang, F.L.1
-
15
-
-
0024072506
-
Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity
-
K. B. Hannsgen, Y. Renardy, and R. L. Wheeler, Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity, SIAM J. Control Optim. 26 5, 1200-1233 (1988)
-
(1988)
SIAM J. Control Optim.
, vol.26
, Issue.5
, pp. 1200-1233
-
-
Hannsgen, K.B.1
Renardy, Y.2
Wheeler, R.L.3
-
16
-
-
0042509296
-
Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant
-
K. B. Hannsgen and R. L. Wheeler, Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant, J. Integral Equations Appl. 2, 495-527 (1990)
-
(1990)
J. Integral Equations Appl.
, vol.2
, pp. 495-527
-
-
Hannsgen, K.B.1
Wheeler, R.L.2
-
17
-
-
5244297561
-
Moment conditions for a Volterra integral equation in a Banach space
-
Proceedings of Delay Differential Equations and Dynamical Systems, Claremont, Springer-Verlag
-
K. B. Hannsgen and R. L. Wheeler, Moment conditions for a Volterra integral equation in a Banach space, Proceedings of Delay Differential Equations and Dynamical Systems, Claremont, Vol. 1475 of Springer Lecture Notes in Mathematics, Springer-Verlag, 1991, pp. 204-209
-
(1991)
Springer Lecture Notes in Mathematics
, vol.1475
, pp. 204-209
-
-
Hannsgen, K.B.1
Wheeler, R.L.2
-
19
-
-
0000698319
-
On the energy decay of a linear thermoelastic bar and plate
-
J. U. Kim, On the energy decay of a linear thermoelastic bar and plate, SIAM J. Math. Anal. 23 (4), 889-899 (1992)
-
(1992)
SIAM J. Math. Anal.
, vol.23
, Issue.4
, pp. 889-899
-
-
Kim, J.U.1
-
20
-
-
5244354410
-
-
Ph.D. dissertation, Virginia Polytechnic Institute and State University, Department of Mathematics, August
-
Z. Liu, Approximation and control of a thermoviscoelastic system, Ph.D. dissertation, Virginia Polytechnic Institute and State University, Department of Mathematics, August, 1989
-
(1989)
Approximation and Control of a Thermoviscoelastic System
-
-
Liu, Z.1
-
21
-
-
0003280914
-
Boundary Stabilization of Thin Plates
-
Society for Industrial and Applied Mathematics, Philadelphia
-
J. Lagnese, Boundary Stabilization of Thin Plates, Vol. 10 of SIAM Studies in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, 1989
-
(1989)
SIAM Studies in Applied Mathematics
, vol.10
-
-
Lagnese, J.1
-
22
-
-
0024905288
-
On boundary feedback stabilization of a viscoelastic membrane
-
G. Leugering, On boundary feedback stabilization of a viscoelastic membrane, Dynamics and Stability of Systems 4 (1), 71-79 (1989)
-
(1989)
Dynamics and Stability of Systems
, vol.4
, Issue.1
, pp. 71-79
-
-
Leugering, G.1
-
23
-
-
84972320975
-
On boundary feedback stabilizability of a viscoelastic beam
-
G. Leugering, On boundary feedback stabilizability of a viscoelastic beam, Proc. Roy. Soc. Edinburgh Sect. A 114 (1), 57-69 (1990)
-
(1990)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.114
, Issue.1
, pp. 57-69
-
-
Leugering, G.1
-
24
-
-
0001717627
-
Exponential stability of the semigroup associated with a thermoelastic system
-
Z. Liu and S. Zheng, Exponential stability of the semigroup associated with a thermoelastic system, Quart. Appl. Math. 51, 535-545 (1993)
-
(1993)
Quart. Appl. Math.
, vol.51
, pp. 535-545
-
-
Liu, Z.1
Zheng, S.2
-
25
-
-
0018006407
-
Asymptotic stability in linear thermoviscoelasticity
-
C. B. Navaro, Asymptotic stability in linear thermoviscoelasticity, J. Math. Appl. 65, 399-431 (1978)
-
(1978)
J. Math. Appl.
, vol.65
, pp. 399-431
-
-
Navaro, C.B.1
-
27
-
-
0002764065
-
Energy decay rate in linear thermoelasticity
-
J. E. M. Rivera, Energy decay rate in linear thermoelasticity, Funkcial Ekvac. 35, 19-30 (1992)
-
(1992)
Funkcial Ekvac.
, vol.35
, pp. 19-30
-
-
Rivera, J.E.M.1
-
28
-
-
0019664632
-
Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
-
M. Slemrod, Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity, Arch Rat. Mech. Anal. 76, 97-133 (1981)
-
(1981)
Arch Rat. Mech. Anal.
, vol.76
, pp. 97-133
-
-
Slemrod, M.1
|