In questa Nota sono indicati teoremi di esistenza per soluzioni di una equazione integrodifferenziale di Volterra in uno spazio di Banach.
@article{RLINA_1976_8_61_3-4_222_0, author = {Andrea Schiaffino}, title = {A compactness method for a class of semi-linear Volterra integro-differential equations in Banach spaces}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {60}, year = {1976}, pages = {222-228}, zbl = {0378.45007}, mrnumber = {0493231}, language = {en}, url = {http://dml.mathdoc.fr/item/RLINA_1976_8_61_3-4_222_0} }
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, Tome 60 (1976) pp. 222-228. http://gdmltest.u-ga.fr/item/RLINA_1976_8_61_3-4_222_0/
[1] Integrodifferential equations in Hilbert spaces, «Anal. Stiin. ale Univ. ‘Al. I. Cuza’, Din. Iași», 19. | MR 402443
(1973) -[2] | MR 390843 | Zbl 0328.47035
(1976) — Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publishing and Editura Academiei, Leyden-Bucaresti.[3] Nonlinear Volterra Integrodifferential Equations in Hilbert Space (to appear on «Sem. Matem. Univ.», Bari). | Zbl 0322.45012
-[4] An abstract nonlinear Volterra integrodifferential equation, «M.R.C. Tech. Summary Report, Univ. of Wisconsin», December. | Zbl 0395.45023
, and (1975) -[5] An abstract Volterra equation with applications to linear viscoelasticity, «J. Differential Equations», 7, 554-569. | MR 259670 | Zbl 0212.45302
(1970) -[6] Sommes d'operateurs linéaires et equations differentielles operationelles, «J. Math, pures et appl.», 54. | MR 442749
and (1975) -[7] Stability theorems for a class of functional differential equations, «S.I.A.M., J. Math. Anal.» (to appear). | MR 404818
-[8] A nonlinear integro-partial differential equation arising from viscoelasticity (to appear).
-