Results 91 to 100 of about 4,449,819 (289)

On the Hyers-Ulam-Rassias Stability of the Cauchy Linear Functional Equation

open access: yes, 2015
[[abstract]]In this paper, we obtain the general solution and we provide a proof of the functional stability in the spirit of Hyers-Ulam, Th. M. Rassias and P. Gˇavruta for the Cauchy linear functional equation f(x + y + a) = f(x) + f(y), where f : E1 −!
Belaid, Bouikhalene   +1 more
core  

Consensus Formation and Change are Enhanced by Neutrality

open access: yesAdvanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag   +3 more
wiley   +1 more source

The system of mixed type additive-quadratic equations and approximations

open access: yesJournal of Inequalities and Applications
In this article, we study the structure of a multiple variable mapping. Indeed, we reduce the system of several mixed additive-quadratic equations defining a multivariable mapping to obtain a single functional equation, say, the multimixed additive ...
Abasalt Bodaghi   +2 more
doaj   +1 more source

Feedback Nash Equilibria for Linear Quadratic Descriptor Differential Games [PDF]

open access: yes
In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite.
Salmah, Y., Engwerda, J.C.
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Thermodynamics of Concomitant Charge‐Transfer, Antiferromagnetic, and Isostructural Phase Transitions in Barocaloric ACu3Fe4O12 Quadruple Perovskites

open access: yesAdvanced Science, EarlyView.
A copper‐iron charge transfer instability drives concomitant electronic, magnetic, and isostructural phase transitions in ACu3Fe4O12${\rm ACu}_3{\rm Fe}_4{\rm O}_{12}$, with an inverse barocaloric effect. A minimal Landau theory ties these thermodynamic signatures together, revealing a pressure‐independent transition entropy with comparable charge and ...
Jefferson Delgado‐Quesada   +1 more
wiley   +1 more source

Stability for the Mixed Type of Quartic and Quadratic Functional Equations

open access: yesJournal of Function Spaces, 2014
We establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y).
Young-Su Lee, Soomin Kim, Chaewon Kim
doaj   +1 more source

On global attractivity of solutions of a functional-integral equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
doaj   +1 more source

Solid Harmonic Wavelet Bispectrum for Image Analysis

open access: yesAdvanced Science, EarlyView.
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown   +3 more
wiley   +1 more source

Generalized Jensen functional equation on restricted domain

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2014
We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional ...
Chahbi Abdellatif   +3 more
doaj   +1 more source

Polynomial solutions of Pell’s equation and fundamental units in real quadratic fields

open access: yes, 2008
Solving Pell’s equation is of relevance in finding fundamental units in real quadratic fields and for this reason polynomial solutions are of interest in that they can supply the fundamental units in infinite families of such fields.
Quadratic Fields, J. Mc Laughlin
core  

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