Results 41 to 50 of about 186 (128)
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
wiley +1 more source
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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On slow oscillation and nonoscillation in retarded equations
International Journal of Mathematics and Mathematical Sciences, 1979 Sufficient conditions have been found to ensure that all oscillatory solutions of (r(t)y′(t))′+a(t)y(t−ξ(t))=f(t) are slowly oscillating. This behaviour is further linked to nonoscillation.
Bhagat Singh
doaj +1 more source
The oscillation/nonoscillation of nonlinear difference equations
Mathematical and Computer Modelling, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Mingshu, Ge, Weigao, Xu, Qianli
openaire +2 more sources
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
wiley +1 more source
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
wiley +1 more source
On the nonoscillatory behavior of solutions of three classes of fractional difference equations [PDF]
Opuscula Mathematica, 2020 In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds.
Said Rezk Grace +4 more
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Journal of Sensors, Volume 2018, Issue 1, 2018., 2018 The intensive pulse sound wave can be generated by the underwater plasma sound source (UPSS) based on the discharge of the underwater high voltage. The distribution of the sound field is prominently nonlinear. In this paper, the sound field of the intensive UPSS is described by the integral two‐dimensional axisymmetric unsteady Euler equations firstly.
Kaizhuo Lei +4 more
wiley +1 more source
Existence of Solutions to Boundary Value Problems for a Fourth‐Order Difference Equation
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 In this article, some new existence criteria of at least one solution to boundary value problems for a fourth‐order difference equation are obtained by using the critical point theory. In a special case, a necessary and sufficient condition for the existence and uniqueness of solution is also established. An example of the main result is given.
Xia Liu +3 more
wiley +1 more source
Nonoscillation theorems for functional differential equations of arbitrary order
International Journal of Mathematics and Mathematical Sciences, 1984 The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations.
John R. Graef +5 more
doaj +1 more source