Smith, Russell A. Existence of periodic orbits of autonomous retarded functional differential equations. (English) Zbl 0435.34062 Math. Proc. Camb. Philos. Soc. 88, 89-109 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C25 Periodic solutions to ordinary differential equations Keywords:Poincare-Bendixson theorem; retarded functional differential equations; vector control equations with retarded feedbacks; omega limit set PDF BibTeX XML Cite \textit{R. A. Smith}, Math. Proc. Camb. Philos. Soc. 88, 89--109 (1980; Zbl 0435.34062) Full Text: DOI OpenURL References: [1] DOI: 10.1016/0022-0396(77)90101-2 · Zbl 0367.34033 [2] DOI: 10.1016/0022-247X(78)90250-0 · Zbl 0397.34091 [3] DOI: 10.1016/0022-247X(71)90221-6 · Zbl 0214.09806 [4] Barnett, Matrix methods in stability theory (1970) · Zbl 0243.93017 [5] Smith, Proc. Roy. Soc [6] Hale, Functional differential equations (1971) · Zbl 0222.34003 [7] Hale, Theory of functional differential equations (1977) · Zbl 0352.34001 [8] DOI: 10.1016/0022-0396(69)90119-3 · Zbl 0175.38503 [9] Smith, Proc. Roy. Soc 83 pp 63– (1979) · Zbl 0408.34042 [10] Pliss, Nonlocal problems of the theory of oscillations (1966) [11] DOI: 10.1007/BF02417109 · Zbl 0323.34061 [12] DOI: 10.1016/0022-247X(62)90017-3 · Zbl 0106.29504 [13] Newman, Elements of the topology of plane sets of points (1951) · Zbl 0045.44003 [14] Halanay, Differential equations: stability, oscillations, time lags (1966) · Zbl 0144.08701 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.