A compactness method for a class of semi-linear Volterra integro-differential equations in Banach spaces

Andrea Schiaffino

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1976)

  • Volume: 61, Issue: 3-4, page 222-228
  • ISSN: 0392-7881

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Schiaffino, Andrea. "A compactness method for a class of semi-linear Volterra integro-differential equations in Banach spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 61.3-4 (1976): 222-228. <http://eudml.org/doc/291157>.

@article{Schiaffino1976,
author = {Schiaffino, Andrea},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {10},
number = {3-4},
pages = {222-228},
publisher = {Accademia Nazionale dei Lincei},
title = {A compactness method for a class of semi-linear Volterra integro-differential equations in Banach spaces},
url = {http://eudml.org/doc/291157},
volume = {61},
year = {1976},
}

TY - JOUR
AU - Schiaffino, Andrea
TI - A compactness method for a class of semi-linear Volterra integro-differential equations in Banach spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1976/10//
PB - Accademia Nazionale dei Lincei
VL - 61
IS - 3-4
SP - 222
EP - 228
LA - eng
UR - http://eudml.org/doc/291157
ER -

References

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  1. BARBU, V. (1973) - Integrodifferential equations in Hilbert spaces, «Anal. Stiin. ale Univ. ‘Al. I. Cuza’, Din. Iași», 19. MR402443
  2. BARBU, V. (1976) — Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publishing and Editura Academiei, Leyden-Bucaresti. Zbl0328.47035MR390843
  3. BARBU, V. - Nonlinear Volterra Integrodifferential Equations in Hilbert Space (to appear on «Sem. Matem. Univ.», Bari). Zbl0322.45012
  4. CRANDALL, M. G., LONDEN, S. O. and NOHEL, J. A. (1975) - An abstract nonlinear Volterra integrodifferential equation, «M.R.C. Tech. Summary Report, Univ. of Wisconsin», December. Zbl0395.45023
  5. DAFERMOS, C. M. (1970) - An abstract Volterra equation with applications to linear viscoelasticity, «J. Differential Equations», 7, 554-569. Zbl0212.45302MR259670DOI10.1016/0022-0396(70)90101-4
  6. DA PRATO, G. and GRISVARD, P. (1975) - Sommes d'operateurs linéaires et equations differentielles operationelles, «J. Math, pures et appl.», 54. MR442749
  7. MACCAMY, R. C. - Stability theorems for a class of functional differential equations, «S.I.A.M., J. Math. Anal.» (to appear). MR404818DOI10.1137/0130050
  8. WONG, J. S. - A nonlinear integro-partial differential equation arising from viscoelasticity (to appear). 

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