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Title: Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms (English)
Author: Ševčovič, Daniel
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 31
Issue: 2
Year: 1990
Pages: 283-293
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Category: math
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MSC: 34G20
MSC: 35A05
MSC: 35A07
MSC: 35B40
MSC: 35G25
MSC: 35K22
MSC: 47H20
MSC: 58F12
MSC: 58F39
idZBL: Zbl 0732.35016
idMR: MR1077899
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Date available: 2008-06-05T21:43:51Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106858
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Reference: [1] A. B. Бабин M. H. Bишик: Aттpaктopы эвoлюциoнных ypавнeний c чaстными пpoизводными и оценки их размеpности.Уcпeхи мат. наук 38 (1983), 133-185.
Reference: [2] J. Ball: Stability theory for an extensible beam.J. Diff. Equations 14 (1973), 399-418. Zbl 0247.73054, MR 0331921
Reference: [3] P. Biller: Exponential decay of solutions of damped nonlinear hyperbolic equations.No. 7, Nonlinear analysis 11 (1987), 841-849. MR 0898578
Reference: [4] J. E. Billoti J. P. LaSalle: Dissipative periodic processes.Bull. Amer. Math. Soc. 6 (1971), 1082-1089. MR 0284682
Reference: [5] W. E. Fitzgibbon: Strongly damped quasilinear Evolution equations.J. of Math. Anal, and Appl. 79 (1981), 536-550. Zbl 0476.35040, MR 0606499
Reference: [6] J. M. Ghidaglia, R. Temam: Attractors for Damved Nonlinear Hyperbolic Equations.J. de Math. Pures et Appl. 79 (1987), 273-319. MR 0913856
Reference: [7] J. K. Hale N. Stavrakakis: Limiting behavior of Linearly damped Hyperbolic equations.Preprint, Brown - University, jan. 1986.
Reference: [8] D. Henry: Geometric theory of semilinear parabolic equations.Lecture Notes in Math., 840, Berlin: Springer Verlag, 1981. Zbl 0456.35001, MR 0610244
Reference: [9] P. Massat: Attractivity properties of $\alpha$-contractions.J. of Diff. Equations 48 (1983), 326-333. MR 0702423
Reference: [10] P. Massat: Limiting behavior for strongly damped nonlinear wave equations.J. of Diff. Equations 48 (1983), 334-349. MR 0702424
Reference: [11] G. F. Webb: Existence and asymptotic behavior for a strongly damped nonlinear wave equations.Canad. J. of Math. 32 (1980), 631-643. MR 0586981
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