Differential Equations on Functions from R into Real Banach Space

Keiko Narita ; Noboru Endou ; Yasunari Shidama

Formalized Mathematics, Tome 21 (2013), p. 261-272 / Harvested from The Polish Digital Mathematics Library

Résumé

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 on real Banach space. We referred to the methods of proof in [30].

Détail

Publié le : 2013-01-01

Zbl 1298.34036

EUDML-ID : urn:eudml:doc:267276

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