Mallet-Paret, John Negatively invariant sets of compact maps and an extension of a theorem of Cartwright. (English) Zbl 0354.34072 J. Differ. Equations 22, 331-348 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 64 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C25 Periodic solutions to ordinary differential equations 35K55 Nonlinear parabolic equations 54C10 Special maps on topological spaces (open, closed, perfect, etc.) PDF BibTeX XML Cite \textit{J. Mallet-Paret}, J. Differ. Equations 22, 331--348 (1976; Zbl 0354.34072) Full Text: DOI OpenURL References: [1] Besicovitch, A.S, Almost periodic functions, (1954), The University Press Cambridge · Zbl 0004.25303 [2] Cartwright, M.L; Cartwright, M.L, Corrigenda, (), 768-380 [3] Cartwright, M.L, Almost periodic differential equations and almost periodic flows, J. differential eqs., 5, 167-181, (1962) · Zbl 0167.07804 [4] Foias, C; Prodi, G, Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2, (), 1-34 · Zbl 0176.54103 [5] Hale, J.K, Functional differential equations, (1971), Springer-Verlag New York · Zbl 0213.36901 [6] Hurewicz, W; Wallman, H, Dimension theory, (1948), Princeton University Press Princeton, New Jersey · JFM 67.1092.03 [7] Kurzweil, J, On solutions of nonautonomous linear delayed differential equations which are defined and exponentially bounded for t → − ∞, Casopis Pěst. mat., 96, 229-238, (1971) · Zbl 0218.34065 [8] Kurzweil, J, On a system of operator equations, J. differential eqs., 11, 364-375, (1972) · Zbl 0211.17701 [9] Kurzweil, J, Solutions of linear nonautonomous functional differential equations which are exponentially bounded for t → − ∞, J. differential eqs., 11, 376-384, (1972) · Zbl 0211.17702 [10] {\scJ. Kurzweil}, Small delays don’t matter, in “Symposium on Differential Equations and Dynamical Systems,” Springer-Verlag Lecture Notes 206, pp. 47-49, Springer-Verlag, New York. [11] Ladyzhenskaya, O.A, Dynamical systems generated by the Navier-Stokes equations, Soviet physics (doklady), 17, 647-649, (1973) · Zbl 0301.35077 [12] Oliva, W.M, Functional differential equations on compact manifolds and an approximation theorem, J. differential eqs., 5, 483-496, (1969) · Zbl 0174.19902 [13] Oliva, W.M, Functional differential equations—generic theory, () · Zbl 0174.19902 [14] {\scJ. Ruiz-Claeyssen}, Effect of delays on functional differential equations, J. Differential Eqs., submitted. · Zbl 0345.34052 [15] Sell, G, Lectures on topological dynamics and ordinary differential equations, (1971), Van Nostrand-Reinhold London · Zbl 0212.29202 [16] Yorke, J, Non-continuable solutions of differential-delay equations, (), 648-652 · Zbl 0184.12302 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.