Results 31 to 40 of about 3,075 (226)

Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces

Discrete Dynamics in Nature and Society, 2011
We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥ and ∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥ in non-Archimedean normed spaces in the spirit of the Th. M.
A. Ebadian, N. Ghobadipour, Th. M. Rassias, M. Eshaghi Gordji   +3 more
doaj   +1 more source

On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

Purpose‐Adaptable Reinforced 3D Hyaluronic‐Acid Based Platform to Study Pathomechanisms of the Central Nervous System

Advanced Healthcare Materials, EarlyView.
Platform system to create biofabricated 3D spinal cord tissue models: Combining high resolution PCL fiber placement, a customized, hyaluronic acid‐based hydrogel, two cell types (spinal cord neurons and astrocytes) together with three distinct laminin isoforms allow the formation of functional cell–cell network interactions.
Nicoletta Murenu, Esra Tuerker, Anna‐Lena Wiessler, Jessica Faber, Ievgenii Liashenko, Jeanette Weigelt, Jörg Tessmar, Paul D. Dalton, Sibylle Jablonka, Mateo S. Andrade Mier, Carmen Villmann, Silvia Budday, Natascha Schaefer   +12 more
wiley   +1 more source

Fuzzy Stability of Quadratic Functional Equations

Advances in Difference Equations, 2010
The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
Dong Yun Shin, Choonkil Park, Sun-Young Jang, Jung Rye Lee   +3 more
doaj   +2 more sources

Mixed‐Metal Promotion in a Manganese‐Molybdenum Oxynitride as Catalyst to Integrate C─C and C─N Coupling Reactions for the Direct Synthesis of Acetonitrile from Syngas and Ammonia

Advanced Materials, EarlyView.
Transition metal oxy/carbo‐nitrides show great promise as catalysts for sustainable processes. A Mn‐Mo mixed‐metal oxynitride attains remarkable performance for the direct synthesis of acetonitrile, an important commodity chemical, via sequential C─N and C─C coupling from syngas (C1) and ammonia (N1) feedstocks.
M. Elena Martínez‐Monje, Wilson Henao, Tania Rodenas, Patricia Concepción, Virginia Pérez Dieste, Alexander Missyul, Giovanni Agostini, Gonzalo Prieto   +7 more
wiley   +1 more source

Adaptive Twisting Metamaterials

Advanced Materials, EarlyView.
This work introduces torque‐controlled twisting metamaterials as a transformative platform for adaptive crashworthiness. By combining multiscale predictive modeling with experimental validation on additively manufactured gyroids, it demonstrates tunable stiffness, collapse stress, and energy absorption.
Mattia Utzeri, Maria L. Gatto, Edoardo Mancini, Donato Orlandi, Daniele Cortis, Marco Sasso, Shanmugam Kumar   +6 more
wiley   +1 more source

A Fixed Point Approach to Superstability of Generalized Derivations on Non-Archimedean Banach Algebras

Abstract and Applied Analysis, 2011
We investigate the superstability of generalized derivations in non-Archimedean algebras by using a version of fixed point theorem via Cauchy functional equation.
M. Eshaghi Gordji, M. B. Ghaemi, Badrkhan Alizadeh   +2 more
doaj   +1 more source

PearSAN: A Machine Learning Method for Inverse Design Using Pearson Correlated Surrogate Annealing

Advanced Optical Materials, EarlyView.
A machine learning–assisted inverse design framework is introduced to overcome the curse of dimensionality in complex nanophotonic design problems. By leveraging Pearson‐correlated surrogate annealing (PearSAN) method within a generative latent space, rapid convergence toward optimal thermophotovoltaic metasurface designs is achieved, enabling precise ...
Michael Bezick, Blake A. Wilson, Vaishnavi Iyer, Yuheng Chen, Vladimir M. Shalaev, Sabre Kais, Alexander V. Kildishev, Brad Lackey, Alexandra Boltasseva   +8 more
wiley   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces

Mathematics, 2020
We present some hyperstability results for the well-known additive Cauchy functional equation f(x+y)=f(x)+f(y) in n-normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.
Janusz Brzdęk, El-sayed El-hady
doaj   +1 more source