Results 21 to 30 of about 9,324,703 (377)
Analytic embedding of pseudo-Helmholtz geometry [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 For modern geometry, the study of maximal mobility geometries is of great importance. Some of these geometries are well studied (Euclidean, pseudo-Euclidean, symplectic, spherical, Lobachevsky, etc.), and others are poorly understood (Helmholtz, pseudo ...
Kyrov, Vladimir A.
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Mathematics, 2019 The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation.
Yang-Hi Lee
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The Role of Riemann’s Zeta Function in Mathematics and Physics †,‡
Universe, 2019 In particular, Riemann’s impact on mathematics and physics alike is demonstrated using methods originating from the theory of numbers and from quantum electrodynamics, i.e., from the behavior of an electron in a prescribed external electromagnetic ...
Walter Dittrich
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Solutions and stability of a variant of Wilson's functional equation
Proyecciones (Antofagasta), 2018 In this paper we will investigate the complex-valued solutions and stability of the generalized variant of Wilson’s functional equation (E) : f(xy) + χ(y)f(σ(y)x) = 2f(x)g(y), x, y ∈ G, where G is a group, σ is an involutive morphism of G and χ is a ...
E. Elqorachi, Ahmed Redouani
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Discrete Integrals Based on Comonotonic Modularity
Axioms, 2013 It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
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On the stability of a multiplicative type sum form functional equation
Ratio Mathematica, 2021 In this paper we intend to discuss the stability of a sum form functional equation \begin{align*} \sum\limits\limits^n_{i=1}\sum\limits\limits^m_{j=1}f\left(p_iq_j\right)=\sum\limits\limits^n_{i=1}k\left(p_i\right)\sum\limits\limits^m_{j=1}q^{\beta }_j ...
Surbhi Madan +2 more
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Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction [PDF]
, 2016 We consider the limit $N\to +\infty$ of $N$-body type problems with weak interaction, equal masses and $-\sigma$-homogeneous potential ...
Castaneira, Reynaldo +2 more
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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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On the stability of the linear functional equation in a single variable on complete metric groups [PDF]
Journal of Global Optimization, 2014 In this paper we obtain a result on Hyers–Ulam stability of the linear functional equation in a single variable $$f(\varphi (x)) = g(x) \cdot f(x)$$f(φ(x))=g(x)·f(x) on a complete metric group.
Soon-Mo Jung, D. Popa, M. Rassias
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Asymptotic behaviour of neutral differential equations of third-order with negative term
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We derive new comparison theorems and oscillation criteria for neutral differential equations of third order with negative term. We show that one can deduce oscillation criteria for the equation with negative term from those for the equation with ...
Zuzana Dosla, Petr Liška
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