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A periodicity theorem for autonomous functional differential equations. (English) Zbl 0175.38503

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[1] Jones, G.S., The existence of periodic solutions of \(ƒ′(x) = −αƒ(x − 1){1 + ƒ(x)}\), J. math. anal. appl., 5, 435-450, (1962) · Zbl 0106.29504
[2] Jones, G.S., Periodic functions generated As solutions of nonlinear differential-difference equations, (), 105-112
[3] Jones, G.S., Periodic motions in Banach space and applications to functional differential equations, Contrs. diff. eqs., 3, 75-106, (1964)
[4] Wright, E.M., A nonlinear difference-differential equation, J. reihe ang. math., 194, 66-87, (1955) · Zbl 0064.34203
[5] Hale, J.K., Linear functional-differential equations with constant coefficients, Contrs. diff. eqs., 2, 291-317, (1963) · Zbl 0143.30702
[6] Halanay, A., Differential equations, (1966), Academic Press New York
[7] Riesz, F.; Sz-Nagy, B., Functional analysis, (1955), Ungar New York
[8] Krasnoselskii, M.A., Topological methods in the theory of nonlinear integral equations, (1964), Macmillan New York
[9] Hale, J.K.; Perello, C., The neighborhood of a singular point of functional differential equations, Contrs. diff. eqs., 3, 351-375, (1964) · Zbl 0136.07901
[10] Hutchinson, G.E., Circular causal systems in biology, Ann. N.Y. acad. sci., 50, 221-246, (1948)
[11] Kakutani, S.; Markus, L., On the nonlinear difference-differential equation y′(t) = [A − by(t − τ)] y(t), Contrs. theory nonlinear oscillations, 4, 1-18, (1958) · Zbl 0082.30301
[12] Cunningham, W.J., A nonlinear differential-difference equation of growth, (), 708-713 · Zbl 0055.31601
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