Results 121 to 130 of about 4,701,227 (283)

Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation

, 2011
Using the fixed-point method, we prove the generalized Hyers-Ulam stability of a generalized Apollonius type quadratic functional equation in random Banach spaces.
Ki Dohyeong, Chang Jaewon, Kim MinJune, Kim Ji-Hye, Schin SeungWon   +4 more
core  

Early Spatial and Contextual Coding Deficits in Hippocampal CA1 Precede Performance Decline in an Alzheimer's Disease Model

Advanced Science, EarlyView.
Two‐photon calcium imaging in behaving 5xFAD mice reveals early CA1 coding deficits before behavioral decline. Task‐related place cell activity and splitter cell trajectory coding are impaired, with reduced retrospective dominance and greater prospective weighting.
Yimei Li, Mary Ann Go, Hualong Zhang, Robertas Aleksynas, Juliana Kim, Mingyang Gao, Seigfred Prado, Magdalena Sastre, Simon R. Schultz   +8 more
wiley   +1 more source

Disorder Driven Anisotropic Nonlinear Hall Effect in the Kagome Metal YbCo6Ge6 at Room Temperature

Advanced Science, EarlyView.
The intrinsic structural disorder and short‐range correlated motifs in the kagome metal YbCo6Ge6 constitute the primary mechanism for a robust and anisotropic nonlinear Hall effect (NLHE). This effect is sustained across a wide temperature range, achieving a nonlinear responsivity of up to ∼4.5 × 10−3 m/V at 70 K, higher than known disordered and ...
Qurat Ul Ain, Weiyao Zhao, Thanh Tung Huynh, Yuefeng Yin, Fang Tang, Yong Fang, Junlin Yan, Jacek Jasieniak, Timothy Petersen, Yang Liu, Nikhil V. Medhekar, Julie Karel   +11 more
wiley   +1 more source

On the Ulam-Hyers stability of a quadratic functional equation

Journal of Inequalities and Applications, 2011
The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil, Bae Jae-Hyeong, Lee Sang-Baek   +2 more
doaj  

Internal Resonance Mismatch‐Controlled Dissipative Bistability Collapse in Coupled Micromechanical Oscillators

Advanced Science, EarlyView.
This paper reveals internal resonance mismatch‐controlled dissipative bistability collapse in a coupled micromechanical resonator. Tuning δIR changes both internal‐mode amplitude and phase‐dependent feedback. For negative mismatch, Duffing bistability survives.
Jianlin Chen, Xin Zhou, Takashiro Tsukamoto, Nan Wang, Shuji Tanaka   +4 more
wiley   +1 more source

A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation

, 2010
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation in Banach spaces.
Lee JungRye, Park Choonkil, Kim Ji-hye
core  

Atomistic Kinetics of Dislocation‐Mediated Grain Growth in Monolayer MoS2

Advanced Science, EarlyView.
Atomic‐resolution in‐situ heating microscopy directly visualizes dislocation‐mediated grain boundary migration and grain growth in monolayer MoS2. Mobile grain boundaries migrate through collective motion of Mo 5|7 dislocations, whereas S 5|7 defects remain largely immobile.
Chang‐Won Choi, Min‐Yeong Choi, Tao Du, Jinho Rhee, Seokho Moon, Yeon‐Seo Nam, Xiaoyan Lu, Jong Kyu Kim, Jungwon Park, Moon‐Ho Jo, Cheol‐Joo Kim, Si‐Young Choi   +11 more
wiley   +1 more source

Twin‐Lever Multifunctional Meta‐Optics With High Longitudinal Tolerance

Advanced Science, EarlyView.
We introduce a single‐layer, CMOS‐compatible metasurface that allows for polarization‐programmable, achromatic broadband dual‐mode imaging with high longitudinal tolerance. The twin‐lever design combines bright‐field focusing and vortex‐based edge‐enhanced imaging while managing axial intensity distribution from 488 to 633 nm.
Isma Javed, Kyungtae Kim, Aqib Raza Shah, Dohyun Kang, Joohoon Kim, Azhar Javed Satti, Xuefeng Liu, Muhammad Zubair, Jichuan Xiong, Muhammad Qasim Mehmood, Junsuk Rho   +10 more
wiley   +1 more source

A Very‐High Frequency Solution‐Processed Organic Field‐Effect Transistor With Improved Voltage‐Normalized Frequency of Transition

Advanced Science, EarlyView.
Increasing the frequency at which organic electronics operate while limiting the operation voltage is key to enabling future sustainable wireless applications. This work shows p‐type organic field‐effect transistors based on a molecularly doped, small molecule/polymer blend (C8‐BTBT:C16IDT‐BT), fabricated via direct‐writing and solution‐processing ...
Tommaso Losi, Kyle van Oosterhout, Martino Cambiaggio, Martin Heeney, Qiao He, Hans Kleemann, Alessandro Luzio, Eugenio Cantatore, Mario Caironi   +8 more
wiley   +1 more source

Stability of an additive-quadratic functional equation in modular spaces

Open Mathematics
Using the direct method, we prove the Hyers-Ulam-Rassias stability of the following functional equation: ϕ(x+y,z+w)+ϕ(x−y,z−w)−2ϕ(x,z)−2ϕ(x,w)=0\phi \left(x+y,z+w)+\phi \left(x-y,z-w)-2\phi \left(x,z)-2\phi \left(x,w)=0 in ρ\rho -complete convex modular ...
Baza Abderrahman, Rossafi Mohamed, Park Choonkil, Donganont Mana   +3 more
doaj   +1 more source