Spectral properties of a type of integro-differential stiff problems

J. Cainzos

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1985)

  • Volume: 19, Issue: 2, page 179-193
  • ISSN: 0764-583X

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Cainzos, J.. "Spectral properties of a type of integro-differential stiff problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 19.2 (1985): 179-193. <http://eudml.org/doc/193445>.

@article{Cainzos1985,
author = {Cainzos, J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {integro-differential stiff problem; vibrations of a linear viscoelastic body; existence; uniqueness; Hilbert space; infinitesimal generator; contraction semigroup; formal asymptotic expansion},
language = {eng},
number = {2},
pages = {179-193},
publisher = {Dunod},
title = {Spectral properties of a type of integro-differential stiff problems},
url = {http://eudml.org/doc/193445},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Cainzos, J.
TI - Spectral properties of a type of integro-differential stiff problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 2
SP - 179
EP - 193
LA - eng
KW - integro-differential stiff problem; vibrations of a linear viscoelastic body; existence; uniqueness; Hilbert space; infinitesimal generator; contraction semigroup; formal asymptotic expansion
UR - http://eudml.org/doc/193445
ER -

References

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  1. [1] H. BREZIS, Opérateurs maximaux monotones, North-Holland, Amsterdam (1973). 
  2. [2] C. M. DAFERMOS, An abstract Volterra equation with application to linear viscoelasticity, J. Diff. Équations, 7 (1970), pp. 554-569. Zbl0212.45302MR259670
  3. [3] C. M. DAFFERMOS, Asymptotic stability in viscoelasticity, Arch. Rat. Mech. Anal., 37 (1970), pp. 297-308. Zbl0214.24503MR281400
  4. [4] C. M. DAFERMOS, Contraction semigroups and trend to equilibrium in continuum mechanics, Lec. Notes Math., 503, Springer, Berlin (1975), pp. 295-306. Zbl0345.47032
  5. [5] J. L. LIONS, Perturbations singulières dans les problèmes aux limites et en contrôle optimal, Lec. Notes Math., 323, Springer, Berlin (1973). Zbl0268.49001MR600331
  6. [6] M. LOBO-HIDALGO, Propriétés spectrales de certaines équations différentielles intervenant en viscoélasticité, Rend. Sem. Mat. Univ. Polit. Torino, 39 (1981), pp. 33-51. Zbl0489.73063MR660992
  7. [7] M. LOBO-HIDALGO and E. SANCHEZ-PALENCIA, Perturbation of spectral properties for a class of stiff problems, Proc. Fourth Inter. Symp. Comp. Method. in Science and Engineering, North-Holland, Amsterdam (1980). Zbl0448.35078MR584063
  8. [8] V. PETERSON, V. V. VARADAN and Y. K. VARADAN, Scattering of acoustic waves by layered elastic and viscoelastic obstacles in water, J. Acoust. Soc. Am., 68 (1980), pp. 673-685. Zbl0465.76077MR579191

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