Results 121 to 130 of about 33,056 (296)

Comparison Theorems and Oscillation Criteria for Difference Equations

Journal of Mathematical Analysis and Applications, 2000
The authors prove that if \(p_n \geq k^k/(k+1)^{k+1}\) for all large \(n\), then every solution of the first order delay difference equation \(\Delta x_n + p_n x_{n-k}=0\) is oscillatory if and only if every solution of the second order ordinary difference equation \[ \Delta^2 y_{n-1}+ 2 \frac{(k+1)^k}{k^{k+1}}\left[p_n-\frac{k^k}{(k+1)^{k+1}}\right ...
Zhang, B.G., Zhou, Yong
openaire   +1 more source

Hijacking the Host Clock: A Nematode Effector Antagonizes Soybean Circadian Defense and Translation Control

Advanced Science, EarlyView.
Soybean employs its circadian clock, governed by GmCCA1, to rhythmically defend against soybean cyst nematodes. The pathogen retaliates by secreting the effector Hg4E02, which hijacks the clock to suppress defense and co‐opt the host's translation machinery for nutrient acquisition.
Xingwei Wang, Yufeng Xu, Yanfei Hu, Lijun Cao, Ru Jiang, Changtian Chen, Rick Masonbrink, Thomas Maier, Yuchen Tu, Yabo Shi, Enhui Liu, Lingan Kong, Chan Guo, Wei Zhao, Peng Shi, Wenzhen Du, Andrew Severin, Thomas Baum, Deliang Peng, Huan Peng, Mian Zhou, Wei Wang   +21 more
wiley   +1 more source

Oscillation criteria for fourth-order nonlinear delay dynamic equations

Electronic Journal of Differential Equations, 2013
We obtain criteria for the oscillation of all solutions to a fourth-order nonlinear delay dynamic equation on a time scale that is unbounded from above.
Yunsong Qi, Jinwei Yu
doaj  

Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Abstract and Applied Analysis, 2012
This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases ...
Shao-Yan Zhang, Qi-Ru Wang
doaj   +1 more source

Kamenev-type oscillation criteria for second-order matrix differential systems

, 2003
By employing the generalized Riccati technique and the integral averaging technique, new Kamenev-type oscillation criteria are established for a class of second-order matrix differential systems.
Wang, Qi-Ru, Zhu, Si-Ming, Wu, Xiao-Ming
core   +1 more source

Prior Expectations Bias Confidence Judgments Through Parietal Alpha‐Band Modulation

Advanced Science, EarlyView.
ABSTRACT Humans possess the metacognitive ability to estimate the likely accuracy of their own decisions through confidence judgments. Yet, whether prior information shapes confidence and the neural mechanisms mediating such influence, remain to be determined.
Luca Tarasi, Anna Pasini, Domenico Romanazzi, Margherita Covelli, Vincenzo Romei   +4 more
wiley   +1 more source

Oscillation criteria for first-order forced nonlinear difference equations

Advances in Difference Equations, 2006
Some new criteria for the oscillation of first-order forced nonlinear difference equations of the form Δx(n)+q1(n)xμ(n+1) = q2(n)xλ(n+1)+e(n), where λ, μ are the ratios of positive odd integers 0 <μ < 1 and λ >
Grace Said R, Agarwal Ravi P, Smith Tim
doaj  

Oscillation Criteria for Odd Order Neutral Equations

Journal of Mathematical Analysis and Applications, 1994
Some results are obtained for oscillation of all solutions of the odd order neutral differential equation \[ (x(t)- px(t- \tau))^{(n)}+ \sum^ m_{i= 1} p_ i(t) f_ i(x(t- \sigma_ i))= 0,\tag{1} \] where \(p_ i(t)\geq 0\), \(\sigma_ i\in (0, \infty)\), \(f_ i: \mathbb{R}\to \mathbb{R}\) \((i= 1,2,\dots, m)\), \(p, \tau\in [0, \infty)\).
openaire   +2 more sources

Enzymatic DNA Reaction Networks for Orchestrating Stimuli‐Dependent Temporal Molecular Pulse

Advanced Science, EarlyView.
We present an enzymatic DNA reaction network (EDRN) that encodes nucleic‐acid targets in time, converting inputs into a universal strand and then into programmable transient fluorescence pulses. With time‐color multiplexing, EDRN enables single‐tube high‐plex nucleic acid detection and shows strong agreement with clinical sequencing across 32 specimens.
Jiayu Yang, Yali Chang, Zibin Chu, Linghao Zhang, Tengfang Zhang, Dai Erhei, Xin Su, Zhe Yin   +7 more
wiley   +1 more source

Targeting Supramolecular Active Complexes of Nav1.7/Nav1.8 to Relieve Chronic Neuropathic Pain

Advanced Science, EarlyView.
In mice and patients with severe chronic neuropathic pain (NP), Nav1.7, Nav1.8, TrkB, and five cytoskeletal proteins form supramolecular active complexes (SMACs) with polygonal lattice structures as noxious signal amplifiers in dorsal root ganglion (DRG) neurons.
Liting Sun, Hang Xian, Yunxin Shi, Taotan Yang, Hongyan Shuai, Wenchao Hu, Siying Fei, Miao Xu, Taoyuan Yang, Ruilong Xia, Ting Wen, Fengting Zhu, Yan Fu, Yang Li, Wei Xia, Ran Qian, Yuanying Liu, Zhicheng Tian, Lamei Li, Qian Zhou, Lize Xiong, Rui Cong, Ceng Luo, Shengxi Wu, Xiafeng Shen, Xin Yu, Rou‐Gang Xie, Changgeng Peng   +27 more
wiley   +1 more source