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Negatively invariant sets of compact maps and an extension of a theorem of Cartwright. (English) Zbl 0354.34072

MSC:
34K99Functional-differential equations
34C25Periodic solutions of ODE
35K55Nonlinear parabolic equations
54C10Special maps on topological spaces
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Full Text: DOI
References:
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[2] Cartwright, M. L.: Corrigenda. Proc. London math. Soc. 17, 768 (1967)
[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. Rend. sem. Mat. Padova 3, 1-34 (1967) · Zbl 0176.54103
[5] Hale, J. K.: Functional differential equations. (1971) · Zbl 0222.34003
[6] Hurewicz, W.; Wallman, H.: Dimension theory. (1948) · Zbl 0036.12501
[7] Kurzweil, J.: On solutions of nonautonomous linear delayed differential equations which are defined and exponentially bounded for t $\to $- \infty. 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 $\to $- \infty. J. differential eqs. 11, 376-384 (1972) · Zbl 0211.17702
[10] J. 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. Proc. internat. Symp. on dynamical systems, Brown university (1975) · Zbl 0353.34077
[14] J. 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) · Zbl 0212.29202
[16] Yorke, J.: Non-continuable solutions of differential-delay equations. Proc. amer. Math. soc. 21, 648-652 (1969) · Zbl 0184.12302