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References
V. Barbu and S. I. Grossman, Asymptotic behaviour of linear integrodifferential systems, Trans. Amer. Math. Soc. 173(1972), 277–288. MR 46 #7826.
D. W. Brewer, A nonlinear semigroup for a functional differential equation, Trans. Amer. Math. Soc. 236(1978), 173–191.
B. D. Coleman and V. J. Mizel, On the stability of solutions of functional differential equations, Arch. Rational Mech. Anal. 30(1968), 173–196. MR 37 #5499.
M. G. Crandall, An introduction to evolution governed by accretive operators, Proc. Internat. Sympos. Dynamical Systems (Brown Univ., Providence, R. I., 1974).
M. G. Crandall, Semigroups of nonlinear transformations in Banach spaces, Contributions to Nonlinear Functional Analysis (E. Zarantonello, editor), Academic Press, New York, 1971, 157–179.
M. G. Crandall and T. M. Liggett, Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math. 93(1971), 265–298. MR 44 #4563.
J. R. Haddock, Asymptotic behaviour of solutions of nonlinear functional differential equations in Banach space, Trans. Amer. Math. Soc. 231(1977), 83–92.
J. K. Hale, Functional differential equations with infinite delays, J. Math. Anal. Appl. 48(1974), 276–283. MR 51 #1067.
C. C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200(1974), 395–418.
G. F. Webb, Asymptotic stability for abstract nonlinear functional differential equations, Proc. Amer. Math. Soc. 54(1976), 225–230.
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Brewer, D.W. (1979). A nonlinear contraction semigroup for a functional differential equation. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064493
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DOI: https://doi.org/10.1007/BFb0064493
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