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Existence, uniqueness, and continuity for integral equations in a Banach space. (English) Zbl 0354.45006

MSC:
45D05 Volterra integral equations
45N05 Abstract integral equations, integral equations in abstract spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
47D03 Groups and semigroups of linear operators
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References:
[1] Barbu, V, Nonlinear Volterra equations in a Hilbert space, SIAM J. anal. math., 6, 728-741, (1975) · Zbl 0322.45012
[2] Miller, R.K, Volterra integral equations in a Banach space, Funkcial. ekvac., 18, 163-193, (1975) · Zbl 0326.45007
[3] Hille, E; Phillips, R.S, Functional analysis and semigroups, ()
[4] Krein, S.G, Linear differential equations in Banach space, () · Zbl 0636.34056
[5] Titchmarch, E.C, Introduction to the theory of the Fourier integral, (1937), Oxford Univ. Press
[6] Riesz, F; Nagy, B.Sz, Functional analysis, (1955), Ungar New York
[7] Brezis, H, OpĂ©rateurs maximaux monotones, (1973), North-Holland Amsterdam · Zbl 0252.47055
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