On the Hyers-Ulam Stability of Real Continuous Function Valued Differentiable Map
MIURA, Takeshi ; TAKAHASI, Sin-ei ; CHODA, Hisashi
Tokyo J. of Math., Tome 24 (2001) no. 2, p. 467-476 / Harvested from Project Euclid
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We consider a differentiable map $f$ from an open interval to a real Banach space of all bounded continuous real-valued functions on a topological space. We show that $f$ can be approximated by the solution to the differential equation $x'(t)=\lambda x(t)$, if $||f'(t)-\lambda f(t)||_\infty\leq\varepsilon$ holds.
Publié le : 2001-12-15
Classification:  
@article{1255958187,
     author = {MIURA, Takeshi and TAKAHASI, Sin-ei and CHODA, Hisashi},
     title = {On the Hyers-Ulam Stability of Real Continuous Function Valued Differentiable Map},
     journal = {Tokyo J. of Math.},
     volume = {24},
     number = {2},
     year = {2001},
     pages = { 467-476},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255958187}
}

MIURA, Takeshi; TAKAHASI, Sin-ei; CHODA, Hisashi. On the Hyers-Ulam Stability of Real Continuous Function Valued Differentiable Map. Tokyo J. of Math., Tome 24 (2001) no. 2, pp.  467-476. http://gdmltest.u-ga.fr/item/1255958187/