Linear integro-differential equations in Banach spaces

G. Da Prato; M. Iannelli

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 62, page 207-219
  • ISSN: 0041-8994

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Da Prato, G., and Iannelli, M.. "Linear integro-differential equations in Banach spaces." Rendiconti del Seminario Matematico della Università di Padova 62 (1980): 207-219. <http://eudml.org/doc/107746>.

@article{DaPrato1980,
author = {Da Prato, G., Iannelli, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {closed operator; existence; Banach space},
language = {eng},
pages = {207-219},
publisher = {Seminario Matematico of the University of Padua},
title = {Linear integro-differential equations in Banach spaces},
url = {http://eudml.org/doc/107746},
volume = {62},
year = {1980},
}

TY - JOUR
AU - Da Prato, G.
AU - Iannelli, M.
TI - Linear integro-differential equations in Banach spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 62
SP - 207
EP - 219
LA - eng
KW - closed operator; existence; Banach space
UR - http://eudml.org/doc/107746
ER -

References

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  1. [1] V. Barbu, Nonlinear Volterra equations in a Hilbert space, SIAM J. Math. Anal., 6 (1975), pp. 728-741. Zbl0322.45012MR377620
  2. [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. Zbl0395.45023MR500052
  3. [3] C. Dafermos, An abstract Volterra equation with applications to linear viscoelasticity, J. Diff. Eq., 7 (1970), pp. 554-569. Zbl0212.45302MR259670
  4. [4] G. Da Prato - E. Giusti, Una caratterizzazione dei generatori di funzioni coseno astratte, Boll. U.M.I., 3 (1967), pp. 1-6. Zbl0186.47702MR240672
  5. [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. Zbl0451.45013MR582950
  6. [6] A. Friedman - M. Shinbrot, Volterra integral equations in Banach spaces, Trans. A.M.S., 126 (1967), pp. 131-179. Zbl0147.12302MR206754
  7. [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. Zbl0354.45006MR440311
  8. [8] S.-O. Londen, On an integrodifferential Volterra equation with a maximal monotone mapping, J. Diff. Eq., 27 (1978), pp. 405-420. Zbl0364.45003MR499976
  9. [9] S.-O. Londen, An esistence result on a Volterra equation in a Banach space, Trans. A.M.S., 235 (1978), pp. 285-304. Zbl0376.45011MR473770
  10. [10] R.K. Miller, Volterra integral equations in a Banach space, Funk. Ekv.,. 18 (1975), pp. 163-194. Zbl0326.45007MR410312
  11. [11] G.F. Webb, An abstract semilinear Volterra integrodifferential equation, Proc. A.M.S., 69 (1978), pp. 225-260. Zbl0388.45012MR467214

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