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Volterra integral equations and nonlinear semigroups. (English) Zbl 0364.45007

45G10 Other nonlinear integral equations
45D05 Volterra integral equations
Full Text: DOI
[1] Miller, R.K., Linear Volterra integro-differential equations as semigroups, Funkcial. ekvac., 17, 39-55, (1974) · Zbl 0288.45004
[2] Hille, E.; Phillips, R.S., Functional analysis and semi-groups, Am. math. soc. colloq. publ., 31, (1957), (revised edn)
[3] Burns, J.A.; Herdman, T.L., Adjoint semigroup theory for a Volterra integro-differential system, Bull. am. math. soc., 81, 1099-1102, (1975) · Zbl 0316.45019
[4] Barbu, V.; Grossman, S.I., Asymptotic behavior of linear integro-differential systems, Trans. am. math. soc., 173, 277-287, (1972)
[5] Brewer, D.W., A nonlinear semigroup for a functional differential equation, () · Zbl 0793.34049
[6] {\scFitzgibbon}W., Abstract Volterra equations with infinite delay, (to appear).
[7] Dieudonné, J., Foundations of modern analysis, pure and applied mathematics, (1969), Academic Press New York
[8] {\scWebb}G.F., Volterra integral equations as functional differential equations on infinite intervals (to appear in Hiroshima math. J.).
[9] Dunford, N.; Schwartz, J., Linear operators, (1957), Interscience New York, Part I.
[10] Yosida, K., Functional analysis, (1974), Springer-Verlag New York · Zbl 0152.32102
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