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Bounds for periodic solutions of differential equations in Banach spaces. (English) Zbl 0261.34035


MSC:

34G99 Differential equations in abstract spaces
34C25 Periodic solutions to ordinary differential equations
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
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References:

[1] Alexiewicz, A., On a theorem of Ważewski, Ann. Soc. Polon. Math., 24, 129-131 (1951) · Zbl 0052.11205
[2] Gel’fand, I. M.; Shilov, G. E., (Generalised Functions, Vol. III (1967), Academic Press: Academic Press New York/London) · Zbl 0355.46017
[3] Yorke, J. A., Periods of periodic solutions and Lipschitz constant, (Proc. Amer. Math. Soc., 22 (1969)), 509-512 · Zbl 0184.12103
[4] Yorke, J. A., The period of periodic solutions and charged particles in a magnetic field, (Seminar on Differential Equations and Dynamical Systems, II. Seminar on Differential Equations and Dynamical Systems, II, Springer-Verlag Lecture Notes 144 (1970)), 267-268
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