Pensejagatan Teorem Pemetaan Tersirat
Abstract
Ringkasan. Teorem pemetaan tersirat tempatan yang terkenal itu diperluaskan sebegitu rupa sehingga hanya sah secara sejagat di dalam suatu ruang Banach.
Abstract. The well known local implicit mapping theorem is extended in such a way that it is valid globally in a Banach space.
References
M. Moraw, The Calculus of Variations in the Large. Amer. Math. Soc. Colloq. publ. vol. 18, Amer. Math. Soc., providence, R.I., 1934.
S. Smale, Differential Analysis, Bombay Colloq. 1964, pp 187 - 189, Oxford Uni. press, London, 1964. Bull. Amer. Math. Soc. 70 (1964), 165 - 172.
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R. Hermann, Differential Geometry and the Calculus of variations, Academic press, 1968.
M. Spivak, Differential Geometry, Vol. 1 and 2, publish perish 1970.
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R. Abraham and J.E. Marsden, Foundations of Mechanics, W.A. Benjamin, 1967.
S. Smale, Lectures on Modern Analysis and Applications 1, pp 150 - 158, Springer Berlin, 1969.
M. Spivak, Calculus on Mani-folds, W.A. Benjamin, 1965.
Penyelesaian separanya telah dibuat oleh Abraham dan Marsden, loc. cit., halaman 27 - 28 dan Hermann, loc. cit., halaman 28 - 33.
loc. cit., halaman 41.
J. Diendonne, Foundations of Modern Analysis, p. 265 - 267., Academic press 1960.
G. Hadley, Nonlinear and Dynamic programming, p. 49, J. Wiley 1964.
