Results 121 to 130 of about 446,471 (361)

The stability of the quadratic functional equation on amenable groups

Journal of Mathematical Analysis and Applications, 2004
Let \(G\) be a group, and let \(E\) be a Banach space. The author defines \((G,E)\) to be QS (short for \((G,E)\) has the property of the stability of the quadratic functional equation) if, for every function \(f : G \to E\) such that \[ \sup_{x,y \in G} \| f(xy) + f(xy^{-1}) - 2f(x) -2f(y) \| := \delta < \infty, \] there are a function \(q : G \to E\)
openaire   +2 more sources

Néel Tensor Torque in Polycrystalline Antiferromagnets

Advanced Materials, EarlyView.
This work introduces a Néel tensor torque based on a rank‐two symmetric tensor capturing spin correlations in a polycrystalline antiferromagnet. It shows the Néel tensor can be shaped and reshaped through the spin‐orbit torque (SOT) technique, enabling field‐free SOT switching with a specific polarity of the adjacent ferromagnet. This discovery opens a
Chao‐Yao Yang, Sheng‐Huai Chen, Chih‐Hsiang Tseng, Hsiu‐Hau Lin, Chih‐Huang Lai   +4 more
wiley   +1 more source

STABILITY OF A QUADRATIC TYPE FUNCTIONAL EQUATION

Honam Mathematical Journal, 2007
In this paper, we investigate some results concerning the stability of the following quadratic type functional equation: f(x + y) + f(x - y) + f(y + z) + f(y - z) + f(z + x) + f(z - x) = 4f(x) + 4f(y) + 4f(z).
Yong-Soo Jung, Eun-Hwi Lee, Ick-Soon Chang   +2 more
openaire   +3 more sources

Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films

Advanced Materials, EarlyView.
Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava, Sankalpa Hazra, Aiden Ross, Ian Reed Philippi, Dylan Sotir, Brynn Brower, Lei Ding, Yingxin Zhu, Zhiyu Zhang, Himirkanti Sarkar, Saugata Sarker, Yang Yang, Suchismita Sarker, Vladimir A. Stoica, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +16 more
wiley   +1 more source

Stability for the Mixed Type of Quartic and Quadratic Functional Equations

Journal 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

Electronic 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

Elastic Energy Storage in Biological Materials: Internal Stresses and Their Functionality

Advanced Materials, EarlyView.
Harnessing and storing internally generated elastic energy is a clever strategy by biological materials to perform functions like shape transformation, movement, and predation. This review explores how biological systems manipulate mechanisms like atomic or protein integration into minerals, protein conformational shifts, phase transitions, and osmotic
Shahrouz Amini, Paul Zaslansky, Boaz Pokroy, Peter Fratzl   +3 more
wiley   +1 more source

The system of mixed type additive-quadratic equations and approximations

Journal 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, Hesam Mahzoon, Nasser Mikaeilvand   +2 more
doaj   +1 more source

THE HYERS-ULAM STABILITY OF THE QUADRATIC FUNCTIONAL EQUATIONS ON ABELIAN GROUPS [PDF]

, 2002
Jae-Hyeong Bae, Yong-Soo Jung
openalex   +1 more source

Emergent Motility of Self‐Organized Particle‐Giant Unilamellar Vesicle Assembly

Advanced Materials, EarlyView.
Giant unilamellar vesicles (GUVs), when combined with silica particles under alternating electric fields, spontaneously self‐assemble into motile structures. Asymmetric particle decoration induces fluid flows that propel the assemblies, enabling persistent motion and reversible control.
Selcan Karaz, Gaurav Gardi, Mertcan Han, Saadet Fatma Baltaci, Mukrime Birgul Akolpoglu, Metin Sitti   +5 more
wiley   +1 more source