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Hirota, Fay and geometry. [PDF]

open access: yesLett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

Automated hypoxia and apnea identification for neonates via enhanced respiratory signal modeling with deep learning. [PDF]

open access: yesSci Rep
Krupa AJD   +6 more
europepmc   +1 more source

On Abel's Integral Equation

open access: yesOn Abel's Integral Equation
openaire  

Approximate solution of Abel integral equation

open access: yesComputers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xian-Fang Li
exaly   +3 more sources
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Interval Abel integral equation

Soft Computing, 2016
The authors study the solvability of the interval Abel integral equation of the form: \[ \frac{1}{\Gamma(\alpha)} \int\limits_a^t (t-s)^{\alpha-1} X(s) \text{d}s = Y(t) ,\, t \in [a, b] \tag{1} \] where \(\alpha \in (0, 1)\), \(K\) is the set of any nonempty compact intervals of the real line \(\mathbb{R}\), \(Y(\cdot) : [a, b] \to K\) being a given ...
Vasile Lupulescu, Ngo Vân Hoa
exaly   +2 more sources

On A Functional Equation of Abel

Results in Mathematics, 1994
The authors determine the general solution of \(\psi (x + y) = g(xy) + h(x - y)\), for \(\psi, g,h : K \to G\), where \(K\) is a field and \(G\) is an Abelian group, which was first treated by Abel in his 1823 manuscript.
Chung, J. K.   +4 more
openaire   +2 more sources

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