On the functional equationf(x+f(y))=f(x)f(y)

Jung, Calvin F. K.; Boonyasombat, V.; Barbançon, G.; Jung, F. R.

doi:10.1007/bf01836204

Cited by 4 publications

(3 citation statements)

References 1 publication

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“…The result given in [10] is a particular case of this theorem since it corresponds to the case where (G, +, .) is a field, k = 0 and o is the multiplication on G -{0}.…”

Section: Where 7~ a Is The Canonical Homomorphism From (G +) Onto (Gmentioning

confidence: 98%

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Multiplicative symmetry and related functional equations

Brillouët-Belluot

1996

Aeq. Math.

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“…The result given in [10] is a particular case of this theorem since it corresponds to the case where (G, +, .) is a field, k = 0 and o is the multiplication on G -{0}.…”

Section: Where 7~ a Is The Canonical Homomorphism From (G +) Onto (Gmentioning

confidence: 98%

“…This functional equation has been studied in [ 10] where the authors give the general solution f: G ~ G of (24) in the case where G is a not necessarily commutative field. It is possible to generalize the result of [ 10] in the following way.…”

Section: Corollary 4 All Continuous Solutions F: C ~ C Of the Functimentioning

confidence: 99%

Multiplicative symmetry and related functional equations

Brillouët-Belluot

1996

Aeq. Math.

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“…wird der zeit zunehme nd eine Veränderung des Prostazyklin /Thromboxan -GIeichgewichtes mit eine m Thromboxan übergewicht postuliert (6.12). Die daraus resulti erende gesteiger te Vasokonstriktion ist mit Veränderungen der Mikrozirk ulation assoziiert, die mit Hilfe der Videokapillarmikros kopie in den Nage lfalzkapillare n dargestellt werd en können (9).…”

Section: Eine Veränderte Matemale Prosta Zyklin / Th Ro Mboxanunclassified

Nichtinvasiver Funktionstest zur Überprüfung der Gefäßreagibilität in der Schwangerschaft und bei schwangerschaftsinduzierter Hypertension (SIH)

Ohlmann¹,

Jung²,

Rosenbaum³

et al. 1992

Geburtsh Frauenheilk

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At present, there is an increasing discussion regarding the change of the prostacyclin/thromboxane ratio as an aetiological factor of pregnancy-induced hypertension (PIH). By means of videophotometric capillaroscopy in the capillaries of the nailfold, it is possible to visualise the resulting changes in the microcirculation. This method employs a special illumination microscope (magnification of the optical system x 560). Red blood cell velocity is measured under test conditions and microcirculatorical reaction capacity on ischaemic stress. Studies were conducted on healthy non-pregnant women and on healthy pregnant women as well as on patients suffering from pregnancy-induced hypertension. A markedly reduced velocity of red blood cells in patients with pregnancy-induced hypertension was seen as a sign of vasoconstriction, namely, 0.53 mm/sec. versus 0.74 mm/sec. Furthermore, these patients have a higher reactivity to ischaemic stress, probably also as a result of the already existing vasoconstriction; however, the duration of the hyperaemic phases is reduced in pregnancy-induced hypertension. By this method, an insight can be gained into microcirculation in pregnancy and in pregnancy-induced hypertension. In addition, as preliminary studies have already shown, the influence exercised by different medications on microcirculation can be assessed.

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Solution générale sur un groupe abélien de I'équation fonctionnellef(x * f(y)) = f(f(x) * y)

Dhombres

1977

Aeq. Math.

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On the functional equationf(x+f(y))=f(x)f(y)

Cited by 4 publications

References 1 publication

Multiplicative symmetry and related functional equations

Multiplicative symmetry and related functional equations

Nichtinvasiver Funktionstest zur Überprüfung der Gefäßreagibilität in der Schwangerschaft und bei schwangerschaftsinduzierter Hypertension (SIH)

Solution générale sur un groupe abélien de I'équation fonctionnellef(x * f(y)) = f(f(x) * y)

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