Results 231 to 240 of about 3,995 (269)

A Method to Calibrate Chemical-Agnostic Quantitative Adverse Outcome Pathways on Multiple Chemical Data. [PDF]

Chem Res Toxicol
Zhou Z, Sahlin U.
europepmc   +1 more source

On Some New Generalizations of the Functional Equation of Cauchy

Canadian Mathematical Bulletin, 1967
Examining certain problems in physics M. Hosszu [l] obtained the functional equation(1)where x, y, f are real.In another paper M. Hosszu [2] proved that the equation (1) is equivalent to the functional equation of Cauchy; i. e., to the equation(1)under the assumption that x is real and f is real and continuous.
Fischer, P., Muszely, G.
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A note on an integrated cauchy functional equation

Acta Mathematicae Applicatae Sinica, 1989
The following equation \(f(x)=\int^{\infty}_{0}f(x+y)d\mu (y),\quad a.e.\quad x\geq 0,\) where \(\mu\) is a positive regular Borel measure defined in (0,\(\infty)\), called an integrated Cauchy functional equation, is discussed in order to establish its relevant nonnegative locally integrable solutions in (0,\(\infty)\).
Lau, Kasing, Gu, Huamin
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Stability of Cauchy–Jensen type functional equation in generalized fuzzy normed spaces

Computers and Mathematics With Applications, 2011
In this paper, we establish some stability results concerning the Cauchy–Jensen functional equation in generalized fuzzy normed spaces.
M Eshaghi Gordji, H Khodaei
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On Positivity Conditions for the Cauchy Function of Functional-Differential Equations

Russian Mathematics, 2018
Two functional differential equations (FDEs) involving operators on the space of absolutely continuous functions to the space of Lebesgue-summable functions are considered. A comparison theorem for the Cauchy functions and the fundamental solutions to these FDEs is presented under the assumption that the difference of the operators in the FDEs is a ...
Zhukovskii, E. S., Tahir, K. M. T.
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Some Observations on the Integrated Cauchy Functional Equation

Mathematische Nachrichten, 1992
AbstractIn this paper, some new observations concerning the problem of solving two or more integral equations of the type in Ramachandran, Gu and Lau (1988) and Rao and Shanbhag (1989b) are made by reducing it to the one of solving the integral equation of the type in Davies and Shanbhag (1987).
Rao, C. Radhakrishna, Shanbhag, D. N.
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Alienation of Cauchy’s and the quadratic functional equations on semigroups

Aequationes mathematicae, 2021
Let \((S, +)\) be a commutative semigroup, \(\sigma : S\to S\) be a homomorphism such that \(\sigma \circ \sigma= I\) and \((H, +)\) a uniquely \(2\)-divisible commutative group. The author studies the additive Cauchy equation \(f(x + y) = f(x) + f(y)\) and the quadratic functional equation \(g(x + y) + g(x + \sigma(y)) = 2g(x) + 2g(y)\) for all \(x, y\
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A Cauchy-like functional equation

aequationes mathematicae, 1998
The author solves the functional equation \[ G(xy-yz)=G(xy-zx)+G(zx-yz)\tag{*} \] for functions \(G\) from the ring of integers into an abelian group, showing that any such function must be a linear combination of four specified functions: the identity function and particular solutions of three simple conditional Cauchy equations.
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Stability of a generalization of Cauchy’s and the quadratic functional equations

Journal of Fixed Point Theory and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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