Asymptotic stability properties for non­linear diffusion Volterra equations

Andrea Schiaffino; Alberto Tesei

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1979)

  • Volume: 67, Issue: 3-4, page 227-232
  • ISSN: 0392-7881

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Schiaffino, Andrea, and Tesei, Alberto. "Asymptotic stability properties for non­linear diffusion Volterra equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 67.3-4 (1979): 227-232. <http://eudml.org/doc/288954>.

@article{Schiaffino1979,
author = {Schiaffino, Andrea, Tesei, Alberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {9},
number = {3-4},
pages = {227-232},
publisher = {Accademia Nazionale dei Lincei},
title = {Asymptotic stability properties for non­linear diffusion Volterra equations},
url = {http://eudml.org/doc/288954},
volume = {67},
year = {1979},
}

TY - JOUR
AU - Schiaffino, Andrea
AU - Tesei, Alberto
TI - Asymptotic stability properties for non­linear diffusion Volterra equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1979/9//
PB - Accademia Nazionale dei Lincei
VL - 67
IS - 3-4
SP - 227
EP - 232
LA - eng
UR - http://eudml.org/doc/288954
ER -

References

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  1. Grossman, S.I. and Miller, R.K. (1970) - Perturbation theory for Volterra integrodifferential systems, «J. Diff. Eqns.», 8, 457-474. Zbl0209.14101MR503903
  2. Nečas, J. (1967) - Les Méthodes Directes en Théorie des Equations Elliptiques (Masson-Academia, Paris-Prague). MR270095
  3. Sattinger, D.H. (1972) - Monotone methods in nonlinear elliptic and parabolic boundary value problems, «Indiana Univ. Math. J.», 21, 979-1000. Zbl0223.35038MR227584
  4. Schiaffino, A. (1976) - A compacteness method for a class of semi-linear Volterra integrodifferential equations in Banach space, «Rend. Acc. Naz. Lincei», Serie VIII, 61, 222-228. MR299921
  5. Schiaffino, A. (1979) - On a diffusion Volterra equation, «Nonlin. Anal.: TMA», 3, 595-600. MR493231
  6. Schiaffino, A. and Tesei, A. (1979) - On the asymptotic stability for abstract Volterra integro-differential equations, «Rend. Acc. Naz. Lincei», Serie VIII, 67, n. 1-2. Zbl0463.45007MR541870
  7. Stakgold, I. and Payne, L.E. (1973) - Nonlinear problems in nuclear reactor analysis, in Nonlinear Problems in the Physical Sciences and Biology, I. Stakgold, D.D. Joseph and D.H. Sattinger Eds. (Springer Verlag, Berlin-Heidelberg-New York). Zbl0259.35025MR617278
  8. Stewart, H.B. (1974) - Generation of analytic semigroups by strongly elliptic operators, «Trans. Amer. Math. Soc.», 199, 141-162. Zbl0264.35043
  9. Tesei, A. - Stability properties for partial Volterra integro-differential equations, «Ann. Mat. Pura Appl.» (to appear). MR358067
  10. Volterra, V. (1931) - Leçons sur la Théorie Mathématique de la Lutte pour la Vie (Gauthier-Villars, Paris). MR612355
  11. Walter, W. (1970) - Differential and Integral Inequalities (Springer Verlag, Berlin-Heidelberg-New York). MR1189803

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