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Existence and uniqueness of solutions to abstract Volterra integral equations. (English) Zbl 0382.45015

MSC:
45N05 Abstract integral equations, integral equations in abstract spaces
45D05 Volterra integral equations
47H05 Monotone operators and generalizations
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[1] Viorel Barbu, Nonlinear Volterra equations in a Hilbert space, SIAM J. Math. Anal. 6 (1975), 728 – 741. · Zbl 0322.45012
[2] H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973 (French). North-Holland Mathematics Studies, No. 5. Notas de Matemática (50). · Zbl 0252.47055
[3] Gustaf Gripenberg, An existence result for a nonlinear Volterra integral equation in a Hilbert space, SIAM J. Math. Anal. 9 (1978), no. 5, 793 – 805. · Zbl 0393.45011
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