Results 71 to 80 of about 3,335 (259)

Monotonic Limit Properties for Solutions of BSDEs with Continuous Coefficients

International Journal of Mathematics and Mathematical Sciences, 2009
This paper investigates the monotonic limit properties for the minimal and maximal solutions of certain one-dimensional backward stochastic differential equations with continuous coefficients.
ShengJun Fan, Xing Song, Ming Ma
doaj   +1 more source

Nanodiamond Sensing in Dynamic Environments With Fast‐Tracking Through Four‐Point Positioning

Advanced Functional Materials, EarlyView.
A four‐point positioning tracking (4PPT) platform enables fast 3D feedback translational tracking of fluorescent nanodiamonds while simultaneously recording ODMR spectra. By integrating real‐time translational tracking with quantum sensing, mobile nanodiamonds are used for in‐situ nanothermometry, nanorheometry, and 6D translation–rotation tracking in ...
Guoli Zhu, Ming‐Zhong Ai, Zhi‐Yu Zhao, Weng‐Hang Leong, Shi‐Ning Chen, Xi Liu, Jing‐Wei Fan, Xi Feng, Ren‐Bao Liu, Yue Cui, Quan Li   +10 more
wiley   +1 more source

Anticipated backward doubly stochastic differential equations [PDF]

Applied Mathematics and Computation, 2013
In this paper, we deal with a new type of differential equations called anticipated backward doubly stochastic differential equations (anticipated BDSDEs). The coefficients of these BDSDEs depend on the future value of the solution $(Y, Z)$. We obtain the existence and uniqueness theorem and a comparison theorem for the solutions of these equations ...
openaire   +3 more sources

A 3D Human Neuron‐on‐Chip Platform to Monitor Neuronal Injury Responses

Advanced Healthcare Materials, EarlyView.
This study presents a novel 3D Neuron‐on‐Chip model that can maintain human PSC‐derived excitatory prefrontal cortex neurons in 3D hydrogels and can be used to monitor neuronal injury responses over time. Results show injury‐induced acute neuronal excitotoxicity, declining neuronal connectivity, and the activation of a neurodegenerative, SASP‐like ...
Ruiping Tang, Charles‐Francois Latchoumane, Avi Chopra, Md Marzan Sarkar, Chunki Kim, Nathan Gonsalves, Hsueh‐Fu Wu, John C. Sentmanat, Alan Liu, Isha Mhatre‐Winters, Aditya Mishra, Andrei G. Fedorov, Jay M. Patel, Nadja Zeltner, Steven L. Stice, Jason R. Richardson, Lohitash Karumbaiah   +16 more
wiley   +1 more source

Reflected BSDEs with default time and irregular obstacles

Comptes Rendus. Mathématique
In this note, we study reflected backward stochastic differential equations with a default time, where the reflecting obstacle is not necessarily right-continuous.
Elmansouri, Badr
doaj   +1 more source

Irregular barrier reflected BDSDEs with general jumps under stochastic Lipschitz and linear growth conditions

Modern Stochastics: Theory and Applications, 2020
In this paper, a solution is given to reflected backward doubly stochastic differential equations when the barrier is not necessarily right-continuous, and the noise is driven by two independent Brownian motions and an independent Poisson random measure.
Mohamed Marzougue, Yaya Sagna
doaj   +1 more source

Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application

Advanced Materials, EarlyView.
This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong, You Zhou, Qingxiu Li, Wenyu Zhao, Sunyingyue Geng, Hangfei Li, Yan‐Bing Leng, Shirui Zhu, Guanglong Ding, Yongbiao Zhai, Ziyu Lv, Ye Zhou, Su‐Ting Han   +12 more
wiley   +1 more source

Tough, Ductile, and Strong Hard‐Soft Cementitious Composite Enabled by Multi‐Material Additive Manufacturing

Advanced Materials, EarlyView.
Drawing inspiration from the layered hard‐soft architecture found in sea sponges, this work establishes a new framework for architected cementitious composites (ACC) through multi‐material additive manufacturing (MMAM) process. The integration of mortar and elastomer phases into layered architectures enables synergistic toughening mechanisms, including
Aimane Najmeddine, Shashank Gupta, William Makinen, Zayvinn Lin, Krystal Delnoce, Reza Moini   +5 more
wiley   +1 more source

Stochastic Control Representations for Penalized Backward Stochastic Differential Equations [PDF]

SIAM Journal on Control and Optimization, 2015
24 pages in SIAM Journal on Control and Optimization ...
openaire   +4 more sources

Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators

Advanced Materials, EarlyView.
Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng, Peng Zhang, Gang Qiu, Ting‐Hsun Yang, Chang Niu, Yaochen Li, Wenqiang Cui, Yang Feng, Peide D. Ye, Ke He, Kai Chang, Kang L. Wang   +11 more
wiley   +1 more source