Results 111 to 120 of about 451,551 (359)

ON THE SOLUTION AND STABILITY OF THE QUADRATIC TYPE FUNCTIONAL EQUATIONS [PDF]

Communications of the Korean Mathematical Society, 2004
Summary: We prove the solution and stability of the quadratic type functional equations with two variables \[ 4f(\frac{x-2y}{2})+f(x)+2f(y)=8f(\frac{x-y}{2})+f(2y) \] and \[ f(x-2y) + f(x)+2f(y)=2f(x-y)+f(2y). \]
openaire   +2 more sources

Molecular Simulations of Polymer‐based Drug Nanocarriers: From Physical and Structural Properties to Controlled Release

Advanced Healthcare Materials, EarlyView.
Polymer‐based drug delivery systems can effectively overcome the limitations of free drugs in terms of solubility, stability, and plasma half‐life, yet their development has traditionally relied on time‐consuming trial‐and‐error approaches. This review highlights recent advances in applying molecular simulation to the design of polymer‐based drug ...
Ping Gao, Xin Jiang, Jinyu Li, Julien Nicolas, Tâp Ha‐Duong   +4 more
wiley   +1 more source

THz‐Driven Coherent Phonon Fingerprints of Hidden Symmetry Breaking in 2D Layered Hybrid Perovskites

Advanced Materials, EarlyView.
Intense THz pulses are employed to drive coherent phonons in 2D Ruddlesden‐Popper hybrid metal‐halide perovskites (HOIPs) from the (PEA)2(MA)n‐1PbnI3n+1 family, revealing mode‐selective spectroscopic signatures of inversion symmetry breaking in those nominally centrosymmetric materials. These findings provide a handle to decode nonlinear phonon driving
Joanna M. Urban, Michael S. Spencer, Maximilian Frenzel, Gaëlle Trippé‐Allard, Marie Cherasse, Charlotte Berrezueta‐Palacios, Prakriti P. Joshi, Alexander P. Fellows, Olga Minakova, Eduardo B. Barros, Luca Perfetti, Stephanie Reich, Martin Wolf, Emmanuelle Deleporte, Sebastian F. Maehrlein   +14 more
wiley   +1 more source

Orthogonal Stability of an Additive-Quadratic Functional Equation

Fixed Point Theory and Applications, 2011
Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj  

Some generalization of the quadratic and Wilson’s functional equation [PDF]

Aequationes mathematicae, 2013
Let \(X\) be a linear space over the field \(\mathbb{K} \in \{\mathbb{R}, \mathbb{C}\}\), \((G,+)\) be an abelian group, let \(K\) be a finite abelian subgroup of the automorphism group of \(G\) and let \(L:= card K\). All solutions \(f, g, h: G \to X\) and \(\varphi: G \to \mathbb{K}\) of the functional equation \[ \sum_{\lambda \in K} f(x + \lambda y)
openaire   +3 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

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

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

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

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