Linear integro-differential equations in Banach spaces
Rendiconti del Seminario Matematico della Università di Padova, Tome 62 (1980), pp. 207-219.
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     author = {Da Prato, G. and Iannelli, M.},
     title = {Linear integro-differential equations in {Banach} spaces},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {207--219},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {62},
     year = {1980},
     mrnumber = {582951},
     zbl = {0451.45014},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1980__62__207_0/}
}
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Da Prato, G.; Iannelli, M. Linear integro-differential equations in Banach spaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 62 (1980), pp. 207-219. http://www.numdam.org/item/RSMUP_1980__62__207_0/

[1] V. Barbu, Nonlinear Volterra equations in a Hilbert space, SIAM J. Math. Anal., 6 (1975), pp. 728-741. | MR | Zbl

[2] M.G. Crandall - S.-O. Londen - J.A. Nohel, An abstract nonlinear Volterra integrodifferential equation, J. Math. Anal. Appl., 64 (1978), pp. 701-735. | MR | Zbl

[3] C. Dafermos, An abstract Volterra equation with applications to linear viscoelasticity, J. Diff. Eq., 7 (1970), pp. 554-569. | MR | Zbl

[4] G. Da Prato - E. Giusti, Una caratterizzazione dei generatori di funzioni coseno astratte, Boll. U.M.I., 3 (1967), pp. 1-6. | MR | Zbl

[5] G. Da Prato - M. Iannelli, Linear abstract integrodifferential equations of hyperbolic type in Hilbert spaces, Rend. Sem. Mat. Padova, 62 (1980), pp. 191-206. | Numdam | MR | Zbl

[6] A. Friedman - M. Shinbrot, Volterra integral equations in Banach spaces, Trans. A.M.S., 126 (1967), pp. 131-179. | MR | Zbl

[7] R.C. Grimmer - R. K. MILLER, Existence uniqueness and continuity for integral equations in Banach spaces, J. Math. Anal. Appl., 57 (1977), pp. 429-447. | MR | Zbl

[8] S.-O. Londen, On an integrodifferential Volterra equation with a maximal monotone mapping, J. Diff. Eq., 27 (1978), pp. 405-420. | MR | Zbl

[9] S.-O. Londen, An esistence result on a Volterra equation in a Banach space, Trans. A.M.S., 235 (1978), pp. 285-304. | MR | Zbl

[10] R.K. Miller, Volterra integral equations in a Banach space, Funk. Ekv.,. 18 (1975), pp. 163-194. | MR | Zbl

[11] G.F. Webb, An abstract semilinear Volterra integrodifferential equation, Proc. A.M.S., 69 (1978), pp. 225-260. | MR | Zbl