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Existence of periodic solutions of one-dimensional differential-delay equations. (English) Zbl 0376.34057


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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References:

[1] SHUI-NEE CHOW, Existence of periodic solutions of autonomous functional differentia] equations, J. Differential Equations 15 (1974), 350-378. · Zbl 0295.34055 · doi:10.1016/0022-0396(74)90084-9
[2] R. B. GRAFTON, A periodicity theorem for autonomous functional differential equations, J. Differential Equations 6 (1969), 87-109. · Zbl 0175.38503 · doi:10.1016/0022-0396(69)90119-3
[3] G. S. JONES, Periodic motions in Banach space and applications to functional differentia equations, Contrb. Differential Equations 3 (1964), 75-106. · Zbl 0135.37001
[4] R. D. NUSSBAUM, Existence and uniqueness theorems for some functional differentia equations of neutral type, J. Differential Equations 11 (1972), 607-623. · Zbl 0263.34070 · doi:10.1016/0022-0396(72)90070-8
[5] T. YOSHIZAWA, Stability Theory by Liapunov’s Second Method, Math. Soc. Japan, Tokyo, 1966. · Zbl 0144.10802
[6] J. A. YORKE, Asymptotic stability for one-dimensional differential-delay equations, J. Differential Equations 7 (1970), 189-202. · Zbl 0184.12401 · doi:10.1016/0022-0396(70)90132-4
[7] J. KATO, On Liapunov-Razumikhin type theorems, Japan-United States Seminor o Ordinary Differential and Functional Equations, 54-65, Springer-Verlag, New York, 1972.
[8] J. K. HALE, Functional Differential Equations, Springer-Verlag, New York, 1971 · Zbl 0222.34063
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