On near-standardness in Hilbert spaces.
Lyantse, W.E., Kudrik, T.S. (2002)
Sibirskij Matematicheskij Zhurnal
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Lyantse, W.E., Kudrik, T.S. (2002)
Sibirskij Matematicheskij Zhurnal
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Keiko Narita, Noboru Endou, Yasunari Shidama (2013)
Formalized Mathematics
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In this article, we describe the differential equations on functions from R into real Banach space. The descriptions are based on the article [20]. As preliminary to the proof of these theorems, we proved some properties of differentiable functions on real normed space. For the proof we referred to descriptions and theorems in the article [21] and the article [32]. And applying the theorems of Riemann integral introduced in the article [22], we proved the ordinary differential equations...
Glotko, N.V., Kuz'minov, V.I. (2002)
Sibirskij Matematicheskij Zhurnal
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Kuz'minov, V.I., Shvedov, I.A. (2000)
Siberian Mathematical Journal
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Combarro, E.F. (2004)
Sibirskij Matematicheskij Zhurnal
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Takao Inoué, Adam Naumowicz, Noboru Endou, Yasunari Shidama (2011)
Formalized Mathematics
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In this article, we define and develop partial differentiation of vector-valued functions on n-dimensional real normed linear spaces (refer to [19] and [20]).
Pyatkov, S.G., Abasheeva, N.L. (2002)
Sibirskij Matematicheskij Zhurnal
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Mel'nikova, I.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Knyazev, O.V. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Kiyatkin, V.R. (2000)
Siberian Mathematical Journal
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Kudajbergenov, K.Zh. (2002)
Sibirskij Matematicheskij Zhurnal
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Korobkov, M.V. (2000)
Siberian Mathematical Journal
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Wysocki, Hubert, Zellma, Marek (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 44A40, 45B05 The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
Saharon Shelah (2000)
Fundamenta Mathematicae
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We prove that it is consistent that the covering number of the ideal of measure zero sets has countable cofinality.