Results 81 to 90 of about 4,284 (195)
Discrete Dynamics in Nature and Society, 2013 We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponential θ-method is constructed and some conditions under which the numerical solutions oscillate are presented ...
Qi Wang, Jiechang Wen
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Numerical solution of the unsteady Navier-Stokes equation [PDF]
The construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws are discussed. These schemes share many desirable properties with total variation diminishing schemes, but TVD schemes have ...
Engquist, Bjoern, Osher, Stanley J.
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Journal 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
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MathematicsThis paper aims to study the asymptotic properties of nonoscillatory solutions (eventually positive or negative) of a class of third-order canonical neutral differential equations.
Hail S. Alrashdi +4 more
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Oscillation of Half-Linear Differential Equations with Delay
Abstract 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
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Oscillations of nonlinear differential equations with several deviating arguments
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This article concerns the oscillatory behavior of first-order non-linear differential equations with several variable deviating arguments and non-negative coefficients.
George Chatzarakis, Julio Dix
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, 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
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Journal 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
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Relative Oscillation Theory, Weighted Zeros of the Wronskian, and the Spectral Shift Function
, 2008 We develop an analog of classical oscillation theory for Sturm-Liouville operators which, rather than measuring the spectrum of one single operator, measures the difference between the spectra of two different operators. This is done by replacing zeros
A. Kneser +38 more
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Neutral Difference System and its Nonoscillatory Solutions
Tatra 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.
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