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Ordinary differential equations which yield periodic solutions of differential delay equations. (English) Zbl 0293.34102

MSC:
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C25 Periodic solutions to ordinary differential equations
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[1] {\scS. Chow}, “Existence of periodic solutions of autonomous functional differential equations,” to appear. · Zbl 0295.34055
[2] Grafton, R.B., A periodicity theorem for autonomous functional differential equations, J. differential equations, 6, 87-109, (1969) · Zbl 0175.38503
[3] Grafton, R.B., Periodic solutions of certain Liénard equations with delay, J. differential equations, 11, 519-527, (1972) · Zbl 0231.34063
[4] Jones, G.S., The existence of periodic solutions of f′(x) = −αf (x − 1)[1 + f(x)], J. math. anal. appl., 5, 435-450, (1962) · Zbl 0106.29504
[5] Jones, G.S., On the nonlinear differential difference equation f′(x) = −αf(x − 1) [1 + f(x)], J. math. anal. appl., 4, 440-469, (1962) · Zbl 0106.29503
[6] Jones, G.S., Periodic motions in Banach space and applications to functional differential equations, Contrib. differential equations, 3, 75-106, (1964)
[7] {\scJ. L. Kaplan and J. A. Yorke}, On the stability of a periodic solution of a differential delay equation, SIAM J. Math. Anal., to appear. · Zbl 0241.34080
[8] Nussbaum, R.D., Periodic solutions of some nonlinear autonomous functional differential equations, Ann. mat. pura. appl., (1974), to appear · Zbl 0323.34061
[9] Nussbaum, R.D., Periodic solutions of some nonlinear, autonomous functional differential equations. II, J. differential equations, 14, 360-394, (1973) · Zbl 0311.34087
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