Results 61 to 70 of about 437 (174)
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
wiley +1 more source
Oscillation of solutions to second-order nonlinear differential equations of generalized Euler type
Electronic Journal of Differential Equations, 2013 We are concerned with the oscillatory behavior of the solutions of a generalized Euler differential equation where the nonlinearities satisfy smoothness conditions which guarantee the uniqueness of solutions of initial value problems, however, no ...
Asadollah Aghajani +2 more
doaj
Oscillation and nonoscillation theorems for some mixed difference equations
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we investigate the oscillatory and nonoscillatory behavior of solutions of certain mixed third and fourth order difference equations. Specific results are also obtained for the constant coefficient cases.
B. Smith, W. E. Taylor
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
openaire +1 more source
Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation
Advances in Difference Equations, 2010 The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
doaj
Qualitative properties of solutions of certain fourth order linear differential equations
International Journal of Mathematics and Mathematical Sciences, 1981 This work considers differential equations of the form (py″)′′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions.
W. E. Taylor
doaj +1 more source
Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system \begin{equation*} x'-p(t)\varphi_{1/\alpha}(y)=0,\qquad y'+q(t)\varphi_{\alpha}(x)=0, \tag{
Jaroslav Jaroš +2 more
doaj +1 more source
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\
openaire +2 more sources