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References
Crandall, M., T. Liggett: Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math. 93 (1971), 265–298.
Crandall, M., A. Pazy: Nonlinear evolution equations in Banach spaces, Israel J. Math. 11 (1972), 57–94.
Dyson, J., R. Villella-Bressan: Functional differential equations and nonlinear evolution operators, Proc. Royal Soc. Edinburgh, 75A (1975/76), 223–234.
Dyson, J., R. Villella-Bressan: Semigroups of translations associated with functional and functional differential equations, Proc. Royal Soc. Edinburgh, 82A (1979), 171–188.
Evans, L.: Nonlinear evolution equations in an arbitrary Banach space, Israel J. Math. 26 (1977), 1–42.
Kartsatos, A.G., M.E. Parrott: Convergence of the Kato approximants for evolution equations involving functional perturbations, J. Diff. Equations 47 (1983), 358–377.
Kartsatos, A.G., M.E. Parrott: Existence of solutions and Galerkin approximations for nonlinear functional evolution equations, Tohoku Math. J. 34 (1982), 509–523.
Kartsatos, A.G., M.E. Parrott: A method of lines for a nonlinear abstract functional differential equation, Trans. A.M.S., to appear.
Webb, G.F.: Asymptotic stability for abstract nonlinear functional differential equations, Proc. Am. Math. Soc. 54 (1976), 225–230.
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Kartsatos, A.G., Parrott, M.E. (1984). A simplified approach to the existence and stability problem of a functional evolution equation in a general Banach space. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072771
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DOI: https://doi.org/10.1007/BFb0072771
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