Results 71 to 80 of about 494 (181)
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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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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AMR‐Wind: A Performance‐Portable, High‐Fidelity Flow Solver for Wind Farm Simulations
Wind Energy, Volume 28, Issue 5, May 2025.ABSTRACT We present AMR‐Wind, a verified and validated high‐fidelity computational‐fluid‐dynamics code for wind farm flows. AMR‐Wind is a block‐structured, adaptive‐mesh, incompressible‐flow solver that enables predictive simulations of the atmospheric boundary layer and wind plants.
Michael B. Kuhn +16 more
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Wind Energy, Volume 28, Issue 5, May 2025.ABSTRACT A thorough understanding of turbine wakes is essential for various aspects of wind energy, including turbine siting, load evaluation, and wind farm control. However, high‐fidelity time‐domain computational fluid dynamics (CFD) simulations that consider all possible turbulent inflow wind conditions are computationally expensive and impractical ...
Wenhao Xu, Gaohua Li, Feng Guo, Zhen Gao
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Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations [PDF]
Opuscula 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
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Advances in Difference Equations, 2020 We study the existence of nonoscillatory solutions tending to zero of a class of third-order nonlinear neutral dynamic equations on time scales by employing Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the significance of the
Yang-Cong Qiu +3 more
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Recessive solutions for nonoscillatory discrete symplectic systems
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Šepitka, Roman Šimon Hilscher
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NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH OSCILLATING COEFFICIENTS
Demonstratio Mathematica, 1992 Nonoscillatory solutions of delay differential equations with oscillatory coefficients of the form \[ y'(t)+P_ 0(t)y(t)+\sum_{i=1}^ n P_ i(t)y(t-T_ i(t))=0\tag{1} \] are considered. The main results are: Theorem 1. Consider differential equation (1), where \(P_ 0(t)\), \(P_ i(t)\) and \(T_ i(t)\) are continuous functions such that \(| P_ 0(t)|\leq P_ 0\
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Oscillatory and nonoscillatory solutions of multivalued differential inclusions
Computers & 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.
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