Differential Equations on Functions from R into Real Banach Space

Keiko Narita; Noboru Endou; Yasunari Shidama

Formalized Mathematics (2013)

  • Volume: 21, Issue: 4, page 261-272
  • ISSN: 1426-2630

Abstract

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

How to cite

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Keiko Narita, Noboru Endou, and Yasunari Shidama. "Differential Equations on Functions from R into Real Banach Space." Formalized Mathematics 21.4 (2013): 261-272. <http://eudml.org/doc/267276>.

@article{KeikoNarita2013,
abstract = {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].},
author = {Keiko Narita, Noboru Endou, Yasunari Shidama},
journal = {Formalized Mathematics},
keywords = {formalization of differential equations},
language = {eng},
number = {4},
pages = {261-272},
title = {Differential Equations on Functions from R into Real Banach Space},
url = {http://eudml.org/doc/267276},
volume = {21},
year = {2013},
}

TY - JOUR
AU - Keiko Narita
AU - Noboru Endou
AU - Yasunari Shidama
TI - Differential Equations on Functions from R into Real Banach Space
JO - Formalized Mathematics
PY - 2013
VL - 21
IS - 4
SP - 261
EP - 272
AB - 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].
LA - eng
KW - formalization of differential equations
UR - http://eudml.org/doc/267276
ER -

References

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