Results 71 to 80 of about 75,377 (262)

Approximation scheme of higher accuracy of differential equations of neutral type

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2011
The properties of solution of initial problem for differential-dierence equation of neutral type were researched. An approximate estimate of element delay was specied by scheme ofhigher accuracy.
S. A. Pernay, I. M. Cherevko
doaj  

Discussions on Sobolev type Neutral Nonlocal fractional differential equation

open access: yesPartial Differential Equations in Applied Mathematics
The current study establishes neutral fractional differential equation (NFDE) of Sobolev with finite delay. The probability density function (PDF) and Fixed Point Technique (FPT) are used to demonstrate the existence of the equation with nonlocal ...
K. Kaliraj   +6 more
doaj   +1 more source

Oscillations of Higher Order Neutral Differential Equations

open access: yesRocky Mountain Journal of Mathematics, 1995
Consider linear neutral differential equations of odd order in the form \[ [x(t)- P(t) x(t-\tau)]^{(n)}+ Q(t) x(t-\sigma(t))= 0,\tag{1} \] where \(n\geq 1\), \(\tau> 0\), \(P\), \(Q\), \(\sigma\in C([t_0, \infty),\mathbb{R}^+)\) and \(\lim_{t\to \infty} (t- \sigma(t))= \infty\).
Zhang, B.G., Yu, J.S., Wang, Z.C.
openaire   +3 more sources

A Simplified Laminar Flow Model for the Pultrusion of Glass Fiber/Polyethylene Terephthalate Commingled Yarns

open access: yesAdvanced Engineering Materials, EarlyView.
A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares   +3 more
wiley   +1 more source

Hopf bifurcation analysis of scalar implicit neutral delay differential equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
Hopf bifurcation analysis is conducted on a scalar implicit Neutral Delay Differential Equation (NDDE) by means of the extension of two analytical methods: 1) center manifold reduction combined with normal form theory; 2) method of multiple scales.
Li Zhang, Gábor Stépán
doaj   +1 more source

On Unstable Neutral Differential Equations of the Second Order [PDF]

open access: yesCzechoslovak Mathematical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

open access: yesAdvanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch   +3 more
wiley   +1 more source

Oscillation of Half-Linear Differential Equations with Delay

open access: yesAbstract and Applied Analysis, 2013
We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for ...
Simona Fišnarová, Robert Mařík
doaj   +1 more source

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

open access: yesAdvanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova   +2 more
wiley   +1 more source

Necessary and sufficient conditions for oscillation of neutral delay differential equations

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we concerned with oscillation of the neutral delay differential equation $[x(t)-px(t-\tau)]'+qx(t-\sigma)=0$ with constant coefficients.
Songbai Guo   +2 more
doaj  

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