Results 81 to 90 of about 10,993,960 (288)

Oscillation criteria for certain nonlinear fourth order equations

International Journal of Mathematics and Mathematical Sciences, 1983
This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously.
W. E. Taylor
doaj   +1 more source

On oscillatory nonlinear fourth-order difference equations with delays [PDF]

, 2018
summary:In this work, oscillatory behaviour of solutions of a class of fourth-order neutral functional difference equations of the form \begin {equation*} \Delta ^{2}(r(n)\Delta ^{2}(y(n)+p(n)y(n-m)))+ q(n)G(y(n-k))=0 \end {equation*} is studied under ...
Tripathy, Arun K.
core   +1 more source

A Two‐Stage Questionnaire and Actigraphy Screening for iRBD in a Multicenter Retrospective Cohort

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Isolated rapid‐eye‐movement sleep behavior disorder is a prodromal marker of synucleinopathies. However, most cases remain undiagnosed due to the insufficient predictive value of questionnaires and limited access to confirmatory video‐polysomnography. We assessed a two‐stage screening strategy combining a brief questionnaire on rapid‐
Caleb A. Massimi, Giorgio Ricciardiello Mejia, Andre Metzger, Kang Hyun Ryu, Salonee Marwaha, Eva Grzegorczyk, Li Zhou, Eliana Jacobs, Boris Gilyadov, Claudia Kunney, Liqhwa Ncube, Ankit Parekh, Emmanuel Mignot, Fanny M. Elahi, Joseph Winer, Kathleen Poston, Andreas Brink‐Kjaer, Emmanuel H. During   +17 more
wiley   +1 more source

Functional Model of Dissipative Fourth Order Differential Operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, maximal dissipative fourth order operators with equal deficiency indices are investigated. We construct a self adjoint dilation of such operators.
Tuna Hüseyin
doaj   +1 more source

Integrating Time‐Adjusted Imaging Instability Into Functional Outcome Prediction After Intracerebral Hemorrhage: Development and Validation of the HAGIV Score

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Early risk stratification may support clinical decision‐making in spontaneous intracerebral hemorrhage (ICH). We aimed to develop and internally validate HAGIV, a score integrating frequency of imaging markers (FIM), a time‐adjusted non‐contrast computed tomography (CT) metric of hematoma expansion, with established predictors for 90‐
Lei Song, Ren Ke, Anqi Chen, Yufei Fu, Hang Zhou, Rujia Wang, Liwei Zou, Yongqiang Yu, Ming Yuan, Xiaoming Qiu, Mengzhou Xue   +10 more
wiley   +1 more source

Analytical and Solutions of Fourth Order Difference Equations

Communications in Advanced Mathematical Sciences, 2019
In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}(\pm1\pm x_{n-2}x_{n-3})}, \] where the initial conditions $x_{-3}\ ,x_{-2}\ ,x_{-1}$\ and $x_{0}\ $are arbitrary real numbers. Also, we
Elsayed M. Elsayed, Marwa M. Alzubaidi
doaj   +1 more source

Clinical and Modifiable Factors Associated With Disability and Relapse in MOGAD: A Multicentre Cohort Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Factors associated with relapse course and disability in myelin oligodendrocyte glycoprotein antibody‐associated disease (MOGAD) remain incompletely understood. Objectives To identify clinical and modifiable factors associated with relapse and disability in MOGAD. Methods In this ambispective multicentre cohort study using data from
Yingtao Wang, Shaoxin Tao, Qiujia Wang, Xiaoyu Xu, Hui Yao, Zheng Liu, Dawei Li, Zhandong Qiu, Jinming Han, Jiangwei Xia, Qi Wang, Jun Sun, Kai Shao, Jiao Li, Shishuang Ruan, Yi Zhong, Jun Guo, Shougang Guo, Yue Huang, Guoliang Chai, Tao Jin, Hongyu Zhou, Junwei Hao, Yinan Zhao   +23 more
wiley   +1 more source

On a fourth order superlinear elliptic problem

Electronic Journal of Differential Equations, 2001
We prove the existence of a nonzero solution for the fourth order elliptic equation $$Delta^2u= mu u +a(x)g(u)$$ with boundary conditions $u=Delta u=0$. Here, $mu$ is a real parameter, $g$ is superlinear both at zero and infinity and $a(x)$ changes sign ...
M. Ramos, P. Rodrigues
doaj  

Advanced Differential Equations with Canonical Operators: New Criteria for the Oscillation

Fractal and Fractional
In this study, we use the integral averaging methodology, comparison with second-order differential equations, and the Riccati technique to determine the Philos-type and Hille–Nehari-type oscillation conditions of fourth-order advanced differential ...
Omar Bazighifan, Nawa Alshammari, Khalil S. Al-Ghafri, Loredana Florentina Iambor   +3 more
doaj   +1 more source

Nonlinear fourth order problems with asymptotically linear nonlinearities [PDF]

Mathematica Bohemica
We investigate some nonlinear elliptic problems of the form \Delta^2v + \sigma(x) v= h(x,v)\quadin \Omega,\quad v=\Delta v=0 \quadon \partial\Omega, \eqno({\rm P}) where $\Omega$ is a regular bounded domain in $\mathbb{R}^N$, $N\geq2$, $\sigma(x ...
Abir Amor Ben Ali, Makkia Dammak
doaj   +1 more source