Results 51 to 60 of about 4,284 (195)

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

Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign

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, Laxmi Narayan Padhy, Radhanath Rath   +2 more
doaj  

Travelling solitons in the parametrically driven nonlinear Schroedinger equation

, 2000
We show that the parametrically driven nonlinear Schroedinger equation has wide classes of travelling soliton solutions, some of which are stable. For small driving strengths nonpropogating and moving solitons co-exist while strongly forced solitons can ...
A. Mecozzi, A.C. Scott, A.V. Ustinov, B. Denardo, C. Elphick, D.E. Pelinovsky, E. V. Zemlyanaya, G. Huang, H. Yamazaki, H.S.J. van der Zant, I. V. Barashenkov, I.H. Deutsch, I.V. Barashenkov, I.V. Barashenkov, I.V. Barashenkov, I.V. Barashenkov, I.V. Barashenkov, J.W. Miles, M. Bär, M. Umeki, M. Umeki, M.M. Bogdan, M.M. Bogdan, M.V. Tratnik, N.V. Alexeeva, O.M. Braun, P. Coullet, S. Longhi, S. Longhi, V.E. Zakharov, W. Wang, X. Wang, X. Wang, X. Wang, X. Wang, X. Wang, X.N. Chen, Yu.S. Kivshar   +37 more
core   +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

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

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, Marc T. Henry de Frahan, Prakash Mohan, Georgios Deskos, Matt Churchfield, Lawrence Cheung, Ashesh Sharma, Ann Almgren, Shreyas Ananthan, Michael J. Brazell, Luis A. Martínez‐Tossas, Regis Thedin, Jon Rood, Philip Sakievich, Ganesh Vijayakumar, Weiqun Zhang, Michael Sprague   +16 more
wiley   +1 more source

On oscillation and asymptotic behaviour of a neutral differential equation of first order with positive and negative coefficients

Electronic Journal of Differential Equations, 2007
In this paper sufficient conditions are obtained so that every solution of $$ (y(t)- p(t)y(t-au))'+ Q(t)G(y(t-sigma))-U(t)G(y(t-alpha)) = f(t) $$ tends to zero or to $pm infty$ as $t$ tends to $infty$, where $au ,sigma ,alpha$ are positive real numbers, $
Prayag Prasad Mishra, Radhanath Rath, Laxmi Narayan Padhy   +2 more
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, Małgorzata Migda, Anna Musielak   +2 more
doaj  

On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term

Discrete Dynamics in Nature and Society, 2008
This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established.
Jin-Zhu Zhang, Zhen Jin, Tie-Xiong Su, Jian-Jun Wang, Zhi-Yu Zhang, Ju-Rang Yan   +5 more
doaj   +1 more source

Stability of oscillatory solutions of differential equations with a general piecewise constant argument

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
doaj   +1 more source