Results 41 to 50 of about 4,377 (209)

Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions

Advances in Difference Equations, 2019
In this paper, the concept of upper and lower solutions method combined with the fixed point theorem is used to investigate the existence of oscillatory and nonoscillatory solutions for a class of initial value problem for Caputo–Hadamard impulsive ...
Mouffak Benchohra, Samira Hamani, Yong Zhou   +2 more
doaj   +1 more source

Applications of the Collective Field Theory for the Calogero-Sutherland Model [PDF]

, 1997
We use the collective field theory known for the Calogero-Sutherland model to study a variety of low-energy properties. These include the ground state energy in a confining potential upto the two leading orders in the particle number, the dispersion ...
Andersen, Andric, Andric, Andric, Bohm, Calogero, Castin, Chen, Dasnières de Veigy, Demeterfi, Diptiman Sen, Dyson, Ha, Haldane, Haldane, Isakov, Isakov, Jevicki, Jevicki, Kawakami, Kawakami, Lifshitz, Madelung, Mehta, Moser, Mucciolo, Murthy, Polychronakos, Polychronakos, R.K. Bhaduri, Satsuma, Sen, Skyrme, Sutherland, Sutherland, Wu   +35 more
core   +2 more sources

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, Stephen M. Griffies, Geoffrey Gebbie, Wenrui Jiang   +3 more
wiley   +1 more source

Asymptotic decay of nonoscillatory solutions of general nonlinear difference equations

International Journal of Mathematics and Mathematical Sciences, 2001
The authors consider the mth order nonlinear difference equations of the form Dmyn+qnf(yσ(n))=ei, where m≥1, n∈ℕ={0,1,2,…}, ani>0 for i=1,2,…,m−1, anm≡1, D0yn=yn, Diyn=aniΔDi−1yn, i=1,2,…,m, σ(n)→∞ as n→∞, and f:ℝ→ℝ is continuous with uf(u)>0 for u≠0 ...
E. Thandapani, S. Lourdu Marian, John R. Graef   +2 more
doaj   +1 more source

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

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

Oscillation criteria for certain nonlinear fourth order equations

International Journal of Mathematics and Mathematical Sciences, 1983
This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously.
W. E. Taylor
doaj   +1 more source

Oscillation of Nonlinear Differential Equations with Advanced Arguments

مجلة بغداد للعلوم, 2008
This paper is concerned with the oscillation of all solutions of the n-th order delay differential equation . The necessary and sufficient conditions for oscillatory solutions are obtained and other conditions for nonoscillatory solution to converge ...
Baghdad Science Journal
doaj   +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

Some generalizations of Calabi compactness theorem [PDF]

, 2011
In this paper we obtain generalized Calabi-type compactness criteria for complete Riemannian manifolds that allow the presence of negative amounts of Ricci curvature.
Bianchini, Bruno, Mari, Luciano, Rigoli, Marco   +2 more
core   +1 more source