Results 271 to 280 of about 13,570,701 (304)

Asymptotic behavior for non-oscillatory solutions of difference equations with several delays in the neutral term

Journal of Applied Mathematics and Computing, 2008
A class of higher order difference equations of neutral type, including reaction-diffusion equations as a subset, is considered. Sufficient conditions are given for the asymptotic behavior (convergence to zero or divergence) of non-oscillatory solutions.
Xu, Mei-Rong, Shi, Bao, Zeng, Xiao-Yun
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Classification and Existence of Non-Oscillatory Solutions of Second-Order Neutral Delay Difference Equations

Zeitschrift für Analysis und ihre Anwendungen, 2001
In this paper, we give a classification of non-oscillatory solutions of a second-order neutral delay difference equation of the form \Delta^2(x_n – c_nx_{n–\tau}) + f (n, x_{g_1(n)},..., x_{g_m(n)}) = 0 (n ≥ n_0 \in \mathbb N).
Yong Zhou, Binggen Zhang
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High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows

Journal of Computational Physics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucian Ivan, Clinton P. T. Groth
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Non-Oscillatory Solutions of Higher Order Nonlinear Neutral Delay Difference Equation

Zeitschrift für Analysis und ihre Anwendungen, 2003
Consider the forced higher order nonlinear neutral delay difference equation L_m( x(n) + cx(n - τ) ) + F ( n, x(σ(n) ) ) = g(n)\quad (n ≥ n_0). We obtain a global result (with respect to c ), which consists of some
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Non-Oscillatory Solutions of Odd-Dimensional System of Functional Differential Equations

Advanced Materials Research, 2012
In this paper, we consider the non-oscillatory problems of odd-dimensional system of linear delay functional differential equations. Based upon the corresponding characteristic equations, we get some criteria for non-oscillatory solutions by utilizing the matrix measures.
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Non-oscillatory solutions of the 2D coupled Burgers’ equations using the RTH RBF method

AIP Conference Proceedings
This paper aims to introduce a suitable radial basis function (RBF) for simulating the 2D coupled Burgers’ equations at high Reynolds’ (Re) numbers by collocation. With RTH RBF we denote the RBF obtained by the hyperbolic tangent. We show that it approximates accurately both steep gradient and flat surfaces by small values of the shape parameter.
Maryam Mohammadi, Mohammad Heidari, Stefano De Marchi   +2 more
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NON-OSCILLATORY SOLUTIONS FOR HIGHER ORDER DYNAMIC EQUATIONS

Journal of the London Mathematical Society, 2003
The authors deal with nonoscillatory solutions for higher-order delay and neutral equations of the form \[ (a(t)\varphi(y^{(n- 1)}(t)- \eta^{(n-1)}(t)))'= q(t) F(t,y[g(t)]) \] and \[ (a(t)\varphi((y(t)+ py[t- \tau])^{(n-1)}))'+ q(t) F(t,y[g(t)])= 0. \] Moreover, the authors discuss singular higher-order differential equations. For this purpose they use
Agarwal, Ravi P., Grace, Said R., O'Regan, Donal   +2 more
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On Existence of Solution, Oscillatory and Non-Oscillatory Properties of Delay Impulsive Differential Equations Containing ‘Maximum’

Acta Applicandae Mathematicae, 2008
The authors are interested in the study of impulsive delay differential equation containing a maximum. They use Morales' fixed point theorem to obtain some results on the oscillation and non oscillation of the solutions of such equations.
Oyelami, Benjamin Oyediran, Ale, Sam O.
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Asymptotic formulas for non-oscillatory solutions of perturbed half-linear Euler equation

Nonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non‐oscillatory and non‐singular asymptotic solutions to stress fields at interface cracks

Fatigue & Fracture of Engineering Materials & Structures, 2017
AbstractThis work concerns the complex oscillatory singularities revealed in Williams's asymptotic solutions to stress fields around arbitrary interface cracks, which are the foundation of phenomenological interface fracture mechanics. First, we highlight the fatal discrepancy between the asymptotic stress fields for cracks in a homogeneous material ...
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