Results 61 to 70 of about 7,785,042 (211)
A Review of Green's Function Methods for Tracer Timescales and Pathways in Ocean Models
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract Understanding advective‐diffusive dispersal of trace substances in environmental fluids like the global ocean is a ubiquitous challenge in geophysics. Since the turn of the millennium, substantial progress has been made in the theory, implementation in models, and application of such tracers in oceanography.
Thomas W. N. Haine +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2020 In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation $$ \Delta^{2}\big(y_n-p_n L(y_{n-s})\big) + q_nG(y_{n-k})=0, $$ and all unbounded solutions of the neutral difference equation $$ \Delta^{2}
Ajit Kumar Bhuyan +2 more
doaj
New Oscillation Criteria for H‐Difference Equation With Oscillatory Periodic Coefficients
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8696-8701, 30 May 2025.ABSTRACT In this manuscript, new oscillation criteria are given for solutions of h‐order delay difference equation in the equation (1.1). There, four cases of p$$ p $$ are considered: for α∈ℕ$$ \alpha \in \mathbb{N} $$, as oscillatory periodic sequences with periods 2α,(2α+1)$$ 2\alpha, \left(2\alpha +1\right) $$ and (α+1)$$ \left(\alpha +1\right ...
Yasar Bolat, Reyhan Gokteke
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We examine scalar differential equations with a general piecewise constant argument, in short DEPCAG, that is, the argument is a general step function. Criteria of existence of the oscillatory and nonoscillatory solutions of such equations are proposed ...
Kuo-Shou Chiu
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Unusual Nonpolynomial Van der Pol Oscillator Equations With Exact Harmonic and Isochronous Solutions
International Journal of Analysis and Applications, 2022 We do not know Van der Pol-type equations with nonlinear restoring force having explicitly an exact periodic solution. We present, for the first time, nonpolynomial Van der Pol oscillator equations that do not satisfy the classical existence theorems. We
Kolawolé Kêgnidé Damien Adjaï +3 more
doaj +1 more source
Nonoscillatory solutions for the one-dimensional p-Laplacian
Journal of Computational and Applied Mathematics, 1998 The author studies the existence of nonoscillatory solutions of the equation \[ \Delta \Phi(\Delta x_{k-1})+f(k,x_k)=0,\quad k=1,2,\cdots \] where \(\Phi:R\rightarrow R\) is defined by \(\Phi(s)=|s|^{p-1}s\) (\(p>1\) fixed), \(f:N\times R\rightarrow R^+\) and \(\{x_k\}_1^\infty\) is a nonnegative sequence with infinitely many positive terms.
openaire +1 more source
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
Asymptotic behaviour of solutions to $n$-order functional differential equations
Electronic Journal of Differential Equations, 2005 We establish conditions for the linear differential equation $$ y^{(n)}(t)+p(t)y(g(t))=0 $$ to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations.
Seshadev Padhi
doaj
Oscillatory properties of fourth order nonlinear difference equations with quasidifferences [PDF]
Opuscula Mathematica, 2006 In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
Ewa Schmeidel +2 more
doaj
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