Results 31 to 40 of about 1,545 (199)
Superstability of $m$-additive maps on complete non--Archimedean spaces [PDF]
Sahand Communications in Mathematical Analysis, 2015 The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers.In this paper ...
Ismail Nikoufar
doaj
Annals of Pure and Applied Logic, 2016 This paper continues the study of superstability in abstract elementary classes (AECs) satisfying the amalgamation property. In particular, we consider the definition of $μ$-superstability which is based on the local character characterization of superstability from first order logic.
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Superstability of extended fractional differential equations
The Pečarić Journal of Mathematical InequalitiesThis work advances the stability theory of fractional differential equations by establishing superstability criteria for a significant class of problems involving the Caputo-Katugampola derivative.
A. Makhlouf, Lassaad Mchiri
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Superstability and Solution of The Pexiderized Trigonometric Functional Equation
, 2020 The present work continues the study for the superstability and solution of the Pexider type functional equation , which is the mixed functional equation represented by sum of the sine, cosine, tangent, hyperbolic trigonometric, and exponential functions.
G. Kim
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Annals of Pure and Applied Logic, 1994 A universal algebra \(A\) is affine if for some ring \(R\) there is a left \(R\)-module \(M\) which is defined on the underlying set of \(A\) so that \(A\) and \(M\) have the same polynomials. \(A\) is combinatorial if for every term \(\tau(\overline{x}, \overline{y})\) and every \(\overline {a}\), \(\overline {b}\), \(\overline{c}\), \(\overline{d}\),
Bradd Hart, Sergei Starchenko
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Superstability and symmetry [PDF]
Annals of Pure and Applied Logic, 2015 This paper continues the study of superstability in abstract elementary classes (AECs) satisfying the amalgamation property. In particular, we consider the definition of $\mu$-superstability which is based on the local character characterization of ...
Monica M. VanDieren
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Superstability and Stability of the Pexiderized Multiplicative Functional Equation
Journal of Inequalities and Applications, 2010 We obtain the superstability of the Pexiderized multiplicative functional equation f(xy)=g(x)h(y) and investigate the stability of this equation in the following form: 1/(1+ψ(x,y))≤f(xy)/g(x)h(y)≤1+ψ(x,y).
Young Whan Lee
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Advanced Science, Volume 13, Issue 8, 9 February 2026.Long‐term hippocampal place‐code dynamics are investigated using calcium imaging across weeks of maze navigation. Analyses reveal a novelty‐irrelevant Single‐Field Evolution Rule (SFER), where active fields promote persistence and inactive fields decline.
Cong Chen +10 more
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On Asymptotic Behavior of a 2-Linear Functional Equation
Mathematics, 2022 In this paper, we deal with a 2-linear functional equation. The Hyers-Ulam stability of this functional equation is shown on some restricted unbounded domains, and the obtained results are applied to get several hyperstability consequences.
Jae-Hyeong Bae +3 more
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EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES [PDF]
Journal of Symbolic Logic (JSL), 2015 In the context of abstract elementary classes (AECs) with a monster model, several possible definitions of superstability have appeared in the literature. Among them are no long splitting chains, uniqueness of limit models, and solvability.
R. Grossberg, S. Vasey
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