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Autonomous nonlinear functional differential equations and nonlinear semigroups. (English) Zbl 0277.34070


MSC:

34K05 General theory of functional-differential equations
47H99 Nonlinear operators and their properties
Full Text: DOI

References:

[1] Akilov, G. P.; Kantorovich, L. V., Functional Analysis in Normed Space, (International Series of Monographs in Pure and Applied Mathematics, Vol. 46 (1964), Macmillan: Macmillan New York) · Zbl 0127.06102
[2] Cryer, C. W.; Tavernini, L., The numerical solution of Volterra functional differential equations by Euler’s method, SIAM J. Numer. Anal., 9, 105-129 (1972) · Zbl 0244.65085
[3] Dunford, N.; Schwartz, J. T., Linear operators. Part I: General theory, (Pure and Applied Mathematics, Vol. VII (1957), Interscience: Interscience New York) · Zbl 0146.12601
[4] Hale, J., Functional differential equations, (Applied Mathematics Series, Vol. 3 (1971), Springer-Verlag: Springer-Verlag New York) · Zbl 0222.34003
[5] Ladas, G. E.; Lakshmikantham, V., Differential equations in abstract spaces, (Mathematics in Science and Engineering, Vol. 85 (1972), Academic Press) · Zbl 0257.34002
[6] Thompson, R. J., On some functional differential equations: Existance of solutions and difference approximations, SIAM J. Numer. Anal., 5, 475-487 (1968) · Zbl 0172.19402
[7] Webb, G. F., Accretive operators and existence for nonlinear functional differential equations, J. Differential Equations, 14, 57-69 (1973) · Zbl 0243.34122
[8] Yosida, K., Functional Analysis (1968), Springer-Verlag: Springer-Verlag New York · Zbl 0217.16001
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