Results 61 to 70 of about 3,995 (269)

Some remarks on Cauchy equation on a curve [PDF]

open access: yes, 1990
In recent years a still increasing number of papers have been dealing with so called conditional Cauchy equations. The problem can be briefly stated as follows. Let X and E be some nonempty sets and let o :XxX-—X and* :ExE —»-E be some binary operations.
Sablik, Maciej, Maciej Sablik
core   +1 more source

Dual‐Mode Nanoporous SiO2 Memristors with Coexisting Volatile and Nonvolatile Dynamics for Reservoir Computing

open access: yesAdvanced Science, EarlyView.
A nanoporous SiO2 memristor enabling reconfigurable volatile and non‐volatile switching within a single device is demonstrated. The dual‐mode functionality supports both physical reservoir dynamics and synaptic weight storage, allowing unified hardware implementation of reservoir computing for temporal information processing, including image and ...
Bohao Ding   +5 more
wiley   +1 more source

Stability of Quadratic Functional Equations via the Fixed Point and Direct Method

open access: yesJournal of Inequalities and Applications, 2010
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via ...
Juri Lee, Eunyoung Son, Hark-Mahn Kim
doaj   +2 more sources

A New Paradigm for Understanding the Rheology and Processability of Poly(p‐Phenylene Terephthalamide) Liquid‐Crystalline Solutions

open access: yesJournal of Applied Polymer Science, EarlyView.
Kevlar is traditionally modeled as a rigid‐rod polymer, yet rheological behavior deviates from this assumption. The review introduces a novel “twist‐tie” entanglement theory for aramid polymer chains in the nematic liquid crystal state, providing a molecular explanation for deviations from rigid‐rod models. Understanding twist‐tie entanglement dynamics
Emma Egli   +3 more
wiley   +1 more source

Stability of Cauchy additive functional equation in fuzzy Banach spaces [PDF]

open access: yes, 2013
In this article, we prove the generalized Hyers-Ulam stability of the following Cauchy additive functional equation in fuzzy Banach spaces for any fixed nonzero integer n
Hark-Mahn Kim   +2 more
core  

On the stability of the additive Cauchy functional equation in random normed spaces

open access: yes, 2011
In this paper, we prove a stability result for the additive Cauchy functional equation in random normed spaces, related to the main theorem from the paper [D. Miheţ, V.
Miheţ, Dorel   +3 more
core   +1 more source

Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces

open access: yes, 2020
In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation in 2-Banach spaces by using Brzdȩk’s fixed point approach ...
Naif Sayar, Khaled Yahya, Bergam, Amal
core   +1 more source

Comprehensive DFT Analysis of FeSi and RhSi: Structural Stability, Electronic Contrast and Transport‐Optical Responses

open access: yesAdvanced Physics Research, EarlyView.
This comprehensive density functional theory analysis investigates the structural, electronic, optical, mechanical, and thermoelectric properties of FeSi, c‐RhSi, and o‐RhSi. Results reveal distinct electronic and optical contrasts among the materials.
Md Farhan Hassan   +4 more
wiley   +1 more source

Weighted Cauchy-type problem of a functional differ-integral equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
In this work, we are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of ...
Ahmed El-Sayed   +1 more
doaj   +1 more source

On the quasilinear Cauchy problem for a hyperbolic functional differential equation [PDF]

open access: yesOpuscula Mathematica, 2015
The Cauchy problem for hyperbolic functional differential equations is considered. Volterra and Fredholm dependence are considered. A theorem on the local existence of generalized solutions defined on the Haar pyramid is proved.
Elżbieta Puźniakowska-Gałuch
doaj   +1 more source

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