On the asymptotic stability for abstract Volterra integro-differential equations

Andrea Schiaffino; Alberto Tesei

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

  • Volume: 67, Issue: 1-2, page 67-74
  • ISSN: 0392-7881

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Schiaffino, Andrea, and Tesei, Alberto. "On the asymptotic stability for abstract Volterra integro-differential equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 67.1-2 (1979): 67-74. <http://eudml.org/doc/288907>.

@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 = {7},
number = {1-2},
pages = {67-74},
publisher = {Accademia Nazionale dei Lincei},
title = {On the asymptotic stability for abstract Volterra integro-differential equations},
url = {http://eudml.org/doc/288907},
volume = {67},
year = {1979},
}

TY - JOUR
AU - Schiaffino, Andrea
AU - Tesei, Alberto
TI - On the asymptotic stability for abstract Volterra integro-differential equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1979/7//
PB - Accademia Nazionale dei Lincei
VL - 67
IS - 1-2
SP - 67
EP - 74
LA - eng
UR - http://eudml.org/doc/288907
ER -

References

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  1. Hille, E. and Phillips, R.S. (1957) - Functional Analysis and Semi-groups. «Amer. Math. Soc. Coll. Publ.», 31. Zbl0078.10004
  2. Miller, R.K. (1972) - Asymptotic stability and perturbations for linear Volterra integrodifferential systems, in Delay and Functional Differential Equations and Their Applications, K. Schmitt Ed., 257-268 (Academic Press, New York-London). MR89373
  3. Paley, R. and Wiener, N. (1934) - Fourier Transforms in the Complex Domain, «Amer. Math Soc. Coll. Publ.», 19. Zbl0011.01601MR399669
  4. Schiaffino, A. (1976) - A compactness method for a class of semi-linear Volterra integrodifferential equations in Banach space, «Rend. Acc. Naz. Lincei», Serie VIII, 61, 222-228. MR1451142
  5. Schiaffino, A. and Tesei, A. - Asymptotic stability properties for nonlinear diffusion Volterra equations, «Rend. Acc. Naz. Lincei», Serie VIII, 67, n. 3-4. MR493231
  6. Tesei, A. - Stability properties for partial Volterra integro-differential equations, «Ann. Mat. Pura Appl.» (to appear). MR622797

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