Results 101 to 110 of about 7,785,042 (211)

A cost-effective strategy for nonoscillatory convection without clipping [PDF]

open access: yes, 1990
Clipping of narrow extrema and distortion of smooth profiles is a well known problem associated with so-called high resolution nonoscillatory convection schemes.
Leonard, B. P., Niknafs, H. S.
core   +1 more source

Existence of Oscillatory Solutions for Second‐Order Functional Differential Equations With Time Delay

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates the existence of oscillatory behavior of solutions for the following second‐order delay differential equation rtΨx′t′+ptΨx′t+∑i=1mGit,xgit=qt,t≥t0. By using the Schauder–Tychonoff fixed‐point theorem and Ascoli–Arzelà theorem, sufficient conditions for the existence of oscillatory solutions are derived.
Ahmed Maher   +3 more
wiley   +1 more source

On the numerical solution of second order differential equations in the high-frequency regime

open access: yes, 2014
We describe an algorithm for the numerical solution of second order linear differential equations in the highly-oscillatory regime. It is founded on the recent observation that the solutions of equations of this type can be accurately represented using ...
Bremer, James
core  

Neutral Difference System and its Nonoscillatory Solutions

open access: yesTatra Mountains Mathematical Publications, 2018
Abstract The paper deals with a system of four nonlinear difference equations where the first equation is of a neutral type. We study nonoscillatory solutions of the system and we present sufficient conditions for the system to have weak property B.
openaire   +1 more source

Sensitivity and Chaotic Dynamics: A Comparative Study of Optical Solitons for the Zhanbota‐IIA Equation Using Enhanced Analytical Methods

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This work investigates solitary wave solutions and dynamical properties of the integrable Zhanbota‐IIA equation, which exhibits rich nonlinear dynamics and diverse soliton structures. To derive exact traveling wave solutions, two robust analytical frameworks are employed: the new extended direct algebraic method (NEDAM) and the (G′/G2)‐expansion method.
Ghulam Hussain Tipu   +4 more
wiley   +1 more source

Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations [PDF]

open access: yesOpuscula Mathematica, 2006
In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above ...
Małgorzata Migda
doaj  

An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments

open access: yes, 2017
We describe a method for the rapid numerical evaluation of the Bessel functions of the first and second kinds of nonnegative real orders and positive arguments.
Bremer, James
core  

On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations

open access: yes, 2015
We describe a method for calculating the roots of special functions satisfying second order linear ordinary differential equations. It exploits the recent observation that the solutions of a large class of such equations can be represented via ...
Bremer, James
core  

NONOSCILLATORY SOLUTIONS FOR NONLINEAR DISCRETE SYSTEMS

open access: yes, 2002
We investigate some asymptotic properties of a nonlinear forced difference system In particular we give necessary and sufficient conditions for existence of the so-called regularly decaying solutions and thereby we complete the results presented in ["New Progress in Difference Equations'', 2004 , pp.493-500, CRC Press, Boca Raton].
MARINI, MAURO, MATUCCI, SERENA, P. REHAK
openaire   +1 more source

Oscillatory and nonoscillatory solutions of multivalued differential inclusions

open access: yesComputers & Mathematics with Applications, 2005
The paper concerns the existence of Carathéodory solutions to the ``scalar'' differential inclusion \(y'(t)\in F(t,y(t))\) subject to the constraints \(\alpha(t)\leq y(t)\leq\beta(t)\) (if \(\alpha\) and \(\beta\) are oscillatory functions, then so is \(y\)). The hypotheses must be added that \(\alpha\) and \(\beta\) are absolutely continuous (for the `
Benchohra, M., Graef, J.R., Ouahab, A.
openaire   +1 more source

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