# 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

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topKeiko 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 -

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