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Topological dynamics of ordinary differential equations and Kurzweil equations. (English) Zbl 0353.34044


MSC:

37-XX Dynamical systems and ergodic theory
54H20 Topological dynamics (MSC2010)
Full Text: DOI

References:

[1] Artstein, Z., Topological dynamics of an ordinary differential equation, J. Differential Equations, 23, 216-223 (1977) · Zbl 0353.34043
[2] Imaz, C.; Vozel, Z., Generalized ordinary differential equations in Banach space and applications to functional equations, Bol. Soc. Mat. Mexicana, 10, 47-59 (1966) · Zbl 0178.44203
[3] Kurzweil, J., Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J., 7, 418-449 (1957) · Zbl 0090.30002
[4] Kurzweil, J., Addition to Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J., 9, 84, 564-573 (1959) · Zbl 0094.05902
[5] Kurzweil, J., Generalized ordinary differential equations, Czechoslovak Math. J., 8, 83, 360-389 (1958) · Zbl 0094.05804
[6] Kurzweil, J., Unicity of solutions of generalized differential equations, Czechoslovak Math. J., 8, 83, 502-504 (1958) · Zbl 0094.05901
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[12] Sell, G. R., Nonautonomous differential equations and topological dynamical I and II, Trans. Amer. Math. Soc., 127, 241-283 (1967) · Zbl 0189.39602
[13] Sell, G. R., Lectures on Topological Dynamics and Differential Equations (1971), Von Nostrand-Reinhold: Von Nostrand-Reinhold London · Zbl 0212.29202
[14] Strauss, A.; Yorke, J. A., On asymptotically autonomous differential equations, Math. Systems Theory, 1, 175-182 (1967) · Zbl 0189.38502
[15] Vrkoc, I., A note to the unicity of generalized differential equations, Czechoslovak Math. J., 8, 83, 510-512 (1958) · Zbl 0142.34602
[16] Wakeman, D. R., An application of topological dynamics to obtain a new invariance property for nonautonomous ordinary differential equations, J. Differential Equations, 17, 259-295 (1975) · Zbl 0431.34033
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