Results 51 to 60 of about 863 (176)
Application of De La Vallée Poussin Type Inequalities to Half‐Linear Euler Type Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9332-9339, 30 May 2025.ABSTRACT The paper is devoted to the application of de la Vallée Poussin type inequalities to half‐linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented.
Zuzana Pátíková
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Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 A Lax‐Wendroff‐type procedure with the high order finite volume simple weighted essentially nonoscillatory (SWENO) scheme is proposed to simulate the one‐dimensional (1D) and two‐dimensional (2D) shallow water equations with topography influence in source terms.
Changna Lu +3 more
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Nonoscillation of a class of neutral differential equations
Computers & Mathematics with Applications, 2002 This paper deals with \(n\)th-order neutral differential equations of the form \[ (x(t)-x(t-\tau))^{(n)}+p(t)x(t-\sigma)=0, \] where \(n\) is an odd number, \(\tau>0, \sigma\in \mathbb{R}\), \(p\in C([0, \infty), [0, \infty))\). The authors establish a complete classification of nonoscillatory solutions of the equation and find conditions for each type
Kong, Qingkai +2 more
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On oscillation and nonoscillation of general functional differential equations [PDF]
, 1985 Oscillation and nonoscillation criteria for the nth order nonlinear functional differential equation Lnx(t) + f(t, x(t), x[g(t)]) = h(t) are established.
Grace, S.R, Lalli, B.S
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Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This paper addresses the existence of bounded solutions for second‐order nonlinear delay differential equations. It presents new sufficient conditions to demonstrate that the solutions are bounded by decreasing functions. Additionally, an example is provided to validate the applicability of these conditions.
Mohammed Jasim Fadhil +2 more
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Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit
Complexity, Volume 2018, Issue 1, 2018., 2018 The dynamics of a simple autonomous jerk circuit previously introduced by Sprott in 2011 are investigated. In this paper, the model is described by a three‐time continuous dimensional autonomous system with an exponential nonlinearity. Using standard nonlinear techniques such as time series, bifurcation diagrams, Lyapunov exponent plots, and Poincaré ...
G. H. Kom +5 more
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Advanced impulsive differential equations with piecewise constant arguments
Mathematical Modelling and Analysis, 2010 We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments.
Hüseyin Bereketoglu +2 more
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Sharp oscillation and nonoscillation tests for linear difference equations
, 2017 We consider difference equations with a single delay term and obtain sufficient conditions for both oscillation and nonoscillation. Moreover, our nonoscillation theorem improves the affirmative answer to Ladas' corrected conjecture given by Tang and Yu ...
KARPUZ, BAŞAK, Başak Karpuz
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A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, Volume 297, Issue 4, Page 1275-1309, April 2024.Abstract We study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
Pavel Řehák
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Suppressing Numerical Oscillation for Nonlinear Hyperbolic Equations by Wavelet Analysis
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 In the numerical solution for nonlinear hyperbolic equations, numerical oscillation often shows and hides the real solution with the progress of computation. Using wavelet analysis, a dual wavelet shrinkage procedure is proposed, which allows one to extract the real solution hidden in the numerical solution with oscillation.
Yong Zhao +4 more
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