Results 51 to 60 of about 22,610 (167)

On the general solution of a functional equation connected to sum form information measures on open domain—III

International Journal of Mathematics and Mathematical Sciences, 1986
In this series, this paper is devoted to the study of a functional equation connected with the characterization of weighted entropy and weighted entropy of degree β.
Pl. Kannappan, P. K. Sahoo
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On Cauchy’s functional equation [PDF]

Proceedings of the American Mathematical Society, 1965
for real-valued functions of a real variable. P. Erdos [2] asked, after learning about a preliminary result of S. Hartman [3], whether one obtains all functions satisfying (C) for almost all pairs (x, y) by simply redefining the functions satisfying (C) for all (x, y) in an arbitrary manner on sets of measure zero.
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Variants of the functional equation of Cauchy

Lietuvos Matematikos Rinkinys, 2004
In this paper solution of the Cauchy functional equation and variants of it are considered.
Juozas Mačys
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Modification of the Homotopy Perturbation Method and It's Convergence

Walailak Journal of Science and Technology, 2014
There are some methods to obtain approximate solutions of functional equations. One of them is the homotopy perturbation method. However, computing coefficients of pj, is time-consuming and challenging.
Zainab AYATI, Jafar BIAZAR
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On a Functional Equation of Ruijsenaars

Theoretical and Mathematical Physics, 2002
We obtain the general solution of the functional equation introduced by Ruijsenaars guaranteeing the commutativity of n operators associated with the quantum Ruijsenaars-Schneider models.
Harry Braden, J. G. B. Byatt-Smith
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Functional equations for peculiar functions

Aequationes Mathematicae, 1997
This is a thorough and interesting survey of functional equations which characterize certain everywhere continuous nowhere differentiable functions, strictly monotonic functions with almost everywhere 0 derivatives, replicative functions (cf. \textit{D. E. Knuth} [The art of computer programming, Vol. I. (1968; Zbl 0191.17903)], etc.
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Generalized Hyers–Ulam Stability of Bi-Homomorphisms, Bi-Derivations, and Bi-Isomorphisms in C*-Ternary Algebras

Mathematics
In this paper, we investigate the generalized Hyers–Ulam stability of bi-homomorphisms, bi-derivations, and bi-isomorphisms in C*-ternary algebras. The study of functional equations with a sufficient number of variables can be helpful in solving real ...
Jae-Hyeong Bae, Won-Gil Park
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Numerical Calculations to Grasp a Mathematical Issue Such as the Riemann Hypothesis

Information, 2020
This article presents the use of data processing to apprehend mathematical questions such as the Riemann Hypothesis (RH) by numerical calculation. Calculations are performed alongside graphs of the argument of the complex numbers ζ ( x + i y ...
Michel Riguidel
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Functional evolution equations

Journal of Mathematical Analysis and Applications, 2003
The paper concerns the functional evolution equation \[ u'(t) \in B u + F(t, u_t) , \;\;t >0, \] \[ u_0(s)= \phi(s)\in C^1([-r,0];X), \] where \(X\) is a real Banach space, not necessarily reflexive, \(F : [0,\infty) \times C([-r,0];X) \to X \) is a single-valued function and \(B: D(B)\subset X \to X\) is a multi-valued nonlinear operator.
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A note on a functional equation

Journal of Mathematical Analysis and Applications, 1965
A useful tool in obtaining bounds for solutions of differential equations is the Gronwall inequality, also known as Bellman’s Lemma, and its various generalizations. The content of these theorems is to compare solutions of certain inequalities with solutions of the corresponding equation.
Paul Waltman, D.L Hanson
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