Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces
Da Prato, G. ; Iannelli, M.
Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980), p. 191-206 / Harvested from Numdam
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@article{RSMUP_1980__62__191_0,
     author = {Da Prato, Giuseppe and Iannelli, M.},
     title = {Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {63},
     year = {1980},
     pages = {191-206},
     mrnumber = {582950},
     zbl = {0451.45013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1980__62__191_0}
}

Da Prato, G.; Iannelli, M. Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980) pp. 191-206. http://gdmltest.u-ga.fr/item/RSMUP_1980__62__191_0/

[1] V. Barbu, Nonlinear Volterra equations in a Hilbert space, SIAM J. Math. Anal., 6 (1975), pp. 728-741. | MR 377620 | Zbl 0322.45012

[2] V. Barbu, Nonlinear Volterra integro-differential equations in Hilbert space, Sem. Mat. Bari, 143 (1976). | Zbl 0365.45001

[3] H. Brézis, Opérateurs maximaux monotones et sémi-groupes de contractions dans les espaces de Hilbert, Math. Studies, 5, North Holland (1973). | MR 348562 | Zbl 0252.47055

[4] M.G. Crandall - S.O. Londen - J.A. Nohel, An abstract nonlinear Volterra integro-differential equation, J. Math. Anal. Appl., 64 (1978), pp. 701-735. | MR 500052 | Zbl 0395.45023

[5] C.M. Dafermos, An abstract Volterra equation with applications to linear viscoelasticity, J. Diff. Eq., 7 (1970), pp. 554-569. | MR 259670 | Zbl 0212.45302

[6] C.M. Dafermos - J.A. Nohel, Energy methods for nonlinearhyperbolic integro-differential equations, Comm. PDE, 4 (1979), pp. 219-278. | MR 522712 | Zbl 0464.45009

[7] G. Da Prato - P. Grisvard, Sommes d'opérateurs linéaires et équations differentielles opérationnelles, J. Math. Pures et Appl., 54 (1975), pp. 305-387. | MR 442749 | Zbl 0315.47009

[8] G. Da Prato - M. Iannelli, On a method to study abstract evolution equations in the hyperbolic case, Comm. PDE, 1 (1976), pp. 585-608. | MR 442750 | Zbl 0358.34063

[9] G. Da Prato - M. Iannelli, Linear integro-differential equations in Banach spaces, Rend. Sem. Mat. Padova, 62 (1980), pp. 207-219. | Numdam | MR 582951 | Zbl 0451.45014

[10] S.O. Londen, On an integral equation in a Hilbert space, SIAM J. Math. Anal., 8 (1977), pp. 950-970. | MR 511229 | Zbl 0379.45011

[11] S.O. Londen, On an integro-differential Volterra equation with a maximal monotone mapping, J. Diff. Eq., 27 (1978), pp. 405-420. | MR 499976 | Zbl 0364.45003

[12] R.C. Mac Camy, Approximations for a class of functional differential equations, SIAM J. Appl. Math., 23 (1972), pp. 70-83. | Zbl 0237.34102

[13] R.C. Mac Camy, Stability theorems for a class of functional differential equations, SIAM J. Appl. Math., 30 (1976), pp. 557-576. | MR 404818 | Zbl 0346.34059

[14] R.C. Mac Camy - J.S.W. Wong, Stability theorems for some functiona. equations, Trans. AMS, 164 (1972), pp. 1-37. | MR 293355 | Zbl 0274.45012

[15] R.K. Miller - R. L. WHEELER, Asymptotic behavior for a linear Volterra integral equation in Hilbert space, J. Diff. Eq., 23 (1977), pp. 270-284. | MR 440313 | Zbl 0341.45017