On the type of C0-semigroup associated with the abstract linear viscoelastic system

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 47, Issue 1, 1996, Pages

  Liu, Kangsheng ^a   Liu, Zhuangyi ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b UNIVERSITY OF MINNESOTA DULUTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038973985     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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5. R. H. Fabiano and K. Ito, Semigroup theory in linear viscoelasticity: weakly and strongly singular kernels, International Series of Numerical Mathematics, Vol. 91, Birkhäuser, 1989, pp. 109-121.
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7. F. L. Huang, Characteristic condition for exponential stability of linear dynamical systems in Hilbert spaces, Ann. of Diff. Eqs. 1(1), 43-56 (1985).
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9. Z. Liu and S. Zheng, Uniform exponential stability of semigroups associated with approximations of linear viscoelasticity, J. Math. Systems, Estimations, and Control, to appear.
10. 0-semigroups, Comm. Part. Diff. Eq. 18, 1299-1307 (1993).
11. M. Renardy, On linear stability of hyperbolic PDEs and viscoelastic flows, Z. angew Math. Phys. 45, 854-865 (1994).
12. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, New York 1983.
13. 0-semigroups. Trans. Amer. Math. Soc. 284, 847-857 (1984).