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Frequency entrainment for almost periodic evolution equations

Author: James Murdock
Journal: Proc. Amer. Math. Soc. 96 (1986), 626-628
MSC: Primary 34C27; Secondary 35B15
MathSciNet review: 826492
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Abstract: A theorem of Massera stating that periodic solutions of equations are (under a simple hypothesis) entrained is generalized to limit periodic equations and (with a weak definition of entrainment) to almost periodic equations. An error is explained in a stronger result claimed by Cartwright.

References [Enhancements On Off] (What's this?)

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  • [2] M. L. Cartwright, Almost periodic differential equations and almost periodic flows, J. Differential Equations 5 (1969), 167–181. MR 0239191,
  • [3] N. Forbat, Amalytische Mechanik der Schwingungen, V.E.B. Deutsche Verlag der Wissenschaft, Berlin, 1966.
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  • [5] José L. Massera, Remarks on the periodic solutions of differential equations, Bol. Fac. Ingen. Montevideo 4 (1950), no. (Año 14), 37–45 = 43–53 Facultad de Ingeniería Montevideo. Publ. Inst. Mat. Estadística 2, 43–53 (1950) (Spanish). MR 0047866
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