Results 51 to 60 of about 2,358,486 (249)

Oscillation criteria for a linear neutral differential equation

Journal of Mathematical Analysis and Applications, 2003
Consider the neutral differential equation of the form \[ \dot{x}( t) -a( t) \dot{x}( g( t) ) +b( t) x(h( t) )=0, \] with \(0\leq a( t)
Berezansky, Leonid, Braverman, Elena
openaire   +1 more source

Serostatus‐Specific Prognostic Profiles and Phenotype‐Dependent Therapeutic Windows in Autoimmune Encephalitis: A Multicenter Cohort Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background While autoimmune encephalitis (AE) outcomes vary, serostatus‐specific prognostic determinants and institutional clustering effects remain poorly characterized. We aimed to delineate the distinct prognostic architecture of AE, identifying serostatus‐specific risk factors and potential therapeutic windows.
Xiaohong Tang, Jingxian Wang, Kaixin Zhu, Zhen Zhang, Liao Wu, Wei Wang, Chang Li, Qingyun Li, Hao Li, Jinghua Chen, Zhangxu Lian, Bin Liu, Tengfei Liu, Chunmei Wen, Nuan Wang, Sen Qun, Lishun Xiao, Qingwei Lai   +17 more
wiley   +1 more source

Oscillation criteria for a class of nonlinear partial differential equations

Electronic Journal of Differential Equations, 2002
This paper presents sufficient conditions on the function $c(x)$ to ensure that every solution of partial differential equation $$ sum_{i=1}^{n}{partial over partial x_i} Phi_{p}({partial u over partial x_i})+B(x,u)=0, quad Phi_p(u):=|u|^{p-1}mathop{ m ...
Robert Marik
doaj  

Oscillation Criteria for Nonlinear Third-Order Delay Dynamic Equations on Time Scales Involving a Super-Linear Neutral Term

Fractal and Fractional
In the sense of an arbitrary time scale, some new sufficient conditions on oscillation are presented in this paper for a class of nonlinear third-order delay dynamic equations involving a local fractional derivative with a super-linear neutral term.
Qinghua Feng, Bin Zheng
doaj   +1 more source

Distinct Microstructural Characteristic Lengths Defining Notch Fatigue Crack Initiation and Propagation, and Defect Tolerance in Advanced Steels

Advanced Engineering Materials, EarlyView.
Schematic representation of modes of microcrack nucleation, growth and temporary arrestment at different boundaries, with the criteria for crack propagation in three scenarios: (1) large notch, (2) defect/small sharp notch, and (3) long crack. This work revisits and integrates results on the fatigue behavior of advanced bainitic steels (in particular ...
Lucia Morales‐Rivas
wiley   +1 more source

Oscillation criteria for delay difference equations

Electronic Journal of Differential Equations, 2001
This paper is concerned with the oscillation of all solutions of the delay difference equation $$ x_{n+1}-x_n+p_nx_{n-k}=0, quad n=0,1,2,dots $$ where ${p_n}$ is a sequence of nonnegative real numbers and $k$ is a positive integer.
Jianhua Shen, I. P. Stavroulakis
doaj  

Oscillation of Neutral Differential Equations with Damping Terms

Mathematics, 2023
Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved
Ioannis Dassios, Ali Muhib, Sobhy A. A. El-Marouf, Sayed K. Elagan   +3 more
doaj   +1 more source

A Novel Approach to Estimate the Transition Temperature via Dynamic Nanoindentation

Advanced Engineering Materials, EarlyView.
A new dynamic nanoindentation‐based method was developed that uses the stiffness ratio as an indicator of the elastic–plastic deformation contributions at different temperatures. The approach successfully identified transition temperatures in ferritic steel and distinguished them from continuously ductile austenitic steel.
Stefan Zeiler, Nikolaus Kostwein, Ronald Schnitzer, Christian Mitterer, Verena Maier‐Kiener   +4 more
wiley   +1 more source

Oscillatory Behavior of a Type of Generalized Proportional Fractional Differential Equations with Forcing and Damping Terms

Mathematics, 2020
In this paper, we study the oscillatory behavior of solutions for a type of generalized proportional fractional differential equations with forcing and damping terms.
Jehad Alzabut, James Viji, Velu Muthulakshmi, Weerawat Sudsutad   +3 more
doaj   +1 more source

Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions

Mathematics, 2022
The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
Barakah Almarri, Ali Hasan Ali, António M. Lopes, Omar Bazighifan   +3 more
doaj   +1 more source