Results 81 to 90 of about 5,648,332 (271)

Variational method and conjugacy criteria for half-linear differential equations [PDF]

, 2013
summary:We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy ...
Chvátal, Martin, Došlý, Ondřej, Ondřej Došlý, Martin Chvátal   +3 more
core   +1 more source

A Riccati technique for proving oscillation of a half-linear equation

Electronic Journal of Differential Equations, 2008
In this paper we study the oscillation of solutions to the half-linear differential equation $$ (r(t)|y'|^{p-1}hbox{sgn} y)'+c(t)|y|^{p-1}hbox{sgn} y=0, $$ under the assumptions $int^infty r^{1/(1-p)}(s),ds0$, $p>1$.
Pavel Rehak
doaj  

GAD65 Antibody ELISA With Extended Reportable Range: Validation and Guidance for Neurological Practice

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To (1) validate GAD65‐ELISA detection and quantification for type 1 diabetes mellitus and autoimmune neurological diagnoses, (2) correlate ELISA results (reference range < 5 IU/mL) with established radioimmunoprecipitation assay (RIA; ≤ 0.02 nmol/L), and (3) define ELISA clinical utility and pitfalls.
Andrew McKeon, Dana Olofson, Diana Anissian, Divyanshu Dubey, Eoin P. Flanagan, Max C. Herman, Sarosh R. Irani, Daniel H. Lachance, Maria A. Willrich, Sean Pittock, John R. Mills, Anastasia Zekeridou   +11 more
wiley   +1 more source

RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu, Xin Duan, Fatemeh Peymani, Jia Wang, Chengjia Bao, Chaolong Xu, Ying Zou, Zixuan Zhang, Yunxi Zhang, Tongyue Li, Martin Pavlov, Junling Wang, Minhan Song, Tianyu Song, Xiaodi Han, Mingxi Sun, Danmin Shen, Ruoyu Duan, Huafang Jiang, Manting Xu, Holger Prokisch, Fang Fang   +21 more
wiley   +1 more source

Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations [PDF]

Opuscula Mathematica
The aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation ...
Petr Hasil, Jiřina Šišoláková, Michal Veselý   +2 more
doaj   +1 more source

Comprehensive Assessment of Arterial, Tissue, and Venous Collaterals for Evaluating the Infarct Growth Rate: The Multimodal Collateral Score

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto, Umberto Pensato, Ilaria Casetta, Giorgio U. Marcello, Angelo Barra, Anna Poggesi, Edoardo Carlesi, Sara Mancini, Andrea Ginestroni, Vittorio Miele, Alessandro Padovani, Andrea Morotti, Enrico Fainardi   +12 more
wiley   +1 more source

Conditional oscillation of half-linear Euler-type dynamic equations on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the ...
Petr Hasil, J. Vítovec
doaj   +1 more source

Forced oscillation of super-half-linear impulsive differential equations

Computers & Mathematics with Applications, 2007
The aim of this work is to establish new oscillation criteria for forced super-half-linear equations of the form \[ \begin{alignedat}{2} 2 (m(t)\varphi_\alpha(y'))'&+ q(t)\varphi_\beta(y)= f(t),&\quad t&\neq \theta_i,\\ \Delta(m(t)\varphi_\alpha(y'))&+ q_i\varphi_\beta(y)= f_i,&\quad t&= \theta_i,\;i\in\mathbb{N}, \end{alignedat} \] where \(\beta\geq ...
Abdullah Özbekler, Agacik Zafer
openaire   +3 more sources

Spatial and Volumetric Characteristics of Glioblastoma: Associations With Clinical Presentation and Survival

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective We aim to comprehensively analyze how regional tumor and edema characteristics are associated with clinical presentations and survival outcomes in a large cohort of glioblastoma patients. Methods Patients with IDH‐wildtype glioblastoma who received brain MRI from 2010 to 2023 were included.
Daniel J. Zhou, Marc Jaskir, Julian Gal, Yombe Fonkeu, Christos Davatzikos, MacLean P. Nasrallah, Jose Garcia, Rubo Xing, Stephen J. Bagley, Arati Desai, Richard E. Phillips, Steven Tobochnik, Colin A. Ellis, James J. Gugger, Nishant Sinha, Joel M. Stein, Kathryn A. Davis   +16 more
wiley   +1 more source

Existence of non-oscillatory solutions for second-order advanced half-linear differential equations

Electronic Journal of Differential Equations, 2013
In this article, we establish the necessary and sufficient conditions for existence of non-oscillatory solutions for the second-order advanced half-linear differential equation $$ ig(r(t)|x'(t)|^{alpha-1}x'(t)ig)'+p(t)|x(h(t)ig)|^{alpha-1}x(h(t))=0,
Aijun Cheng, Zhiting Xu
doaj