Invariant measures defined by differential equations
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References
- Paul R. Halmos, Invariant measures, Ann. of Math. (2) 48 (1947), 735–754. MR 21963, DOI 10.2307/1969138 —, Measure theory, New York, 1950. E. Hobson, The theory of functions of a real variable, Cambridge, 1921.
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- L. Markus, Global structure of ordinary differential equations in the plane, Trans. Amer. Math. Soc. 76 (1954), 127–148. MR 60657, DOI 10.1090/S0002-9947-1954-0060657-0 H. Poincaré, Méthodes nouvelles de la mécanique celeste, vol. 3, chap. 26, Paris, 1892.
- J. C. Oxtoby and S. M. Ulam, On the existence of a measure invariant under a transformation, Ann. of Math. (2) 40 (1939), 560–566. MR 97, DOI 10.2307/1968940
Additional Information
- © Copyright 1953 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 4 (1953), 89-91
- MSC: Primary 36.0X
- DOI: https://doi.org/10.1090/S0002-9939-1953-0053300-2
- MathSciNet review: 0053300