@article{RSMUP_1980__62__207_0,
author = {Da Prato, Giuseppe and Iannelli, M.},
title = {Linear integro-differential equations in Banach spaces},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {63},
year = {1980},
pages = {207-219},
mrnumber = {582951},
zbl = {0451.45014},
language = {en},
url = {http://dml.mathdoc.fr/item/RSMUP_1980__62__207_0}
}
Da Prato, G.; Iannelli, M. Linear integro-differential equations in Banach spaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980) pp. 207-219. http://gdmltest.u-ga.fr/item/RSMUP_1980__62__207_0/
[1] , Nonlinear Volterra equations in a Hilbert space, SIAM J. Math. Anal., 6 (1975), pp. 728-741. | MR 377620 | Zbl 0322.45012
[2] - - , An abstract nonlinear Volterra integrodifferential equation, J. Math. Anal. Appl., 64 (1978), pp. 701-735. | MR 500052 | Zbl 0395.45023
[3] , An abstract Volterra equation with applications to linear viscoelasticity, J. Diff. Eq., 7 (1970), pp. 554-569. | MR 259670 | Zbl 0212.45302
[4] - , Una caratterizzazione dei generatori di funzioni coseno astratte, Boll. U.M.I., 3 (1967), pp. 1-6. | MR 240672 | Zbl 0186.47702
[5] - , Linear abstract integrodifferential equations of hyperbolic type in Hilbert spaces, Rend. Sem. Mat. Padova, 62 (1980), pp. 191-206. | Numdam | MR 582950 | Zbl 0451.45013
[6] - , Volterra integral equations in Banach spaces, Trans. A.M.S., 126 (1967), pp. 131-179. | MR 206754 | Zbl 0147.12302
[7] - R. K. MILLER, Existence uniqueness and continuity for integral equations in Banach spaces, J. Math. Anal. Appl., 57 (1977), pp. 429-447. | MR 440311 | Zbl 0354.45006
[8] , On an integrodifferential Volterra equation with a maximal monotone mapping, J. Diff. Eq., 27 (1978), pp. 405-420. | MR 499976 | Zbl 0364.45003
[9] , An esistence result on a Volterra equation in a Banach space, Trans. A.M.S., 235 (1978), pp. 285-304. | MR 473770 | Zbl 0376.45011
[10] , Volterra integral equations in a Banach space, Funk. Ekv.,. 18 (1975), pp. 163-194. | MR 410312 | Zbl 0326.45007
[11] , An abstract semilinear Volterra integrodifferential equation, Proc. A.M.S., 69 (1978), pp. 225-260. | MR 467214 | Zbl 0388.45012