Results 31 to 40 of about 436 (179)

Local Field Aperiodic Spectral Power Modulated by Deep Brain Stimulation in Parkinson's Disease

Movement Disorders, EarlyView.
Abstract Background Aperiodic spectral broadband power has been described recently as reflecting Parkinson's disease (PD) severity. It has therefore become an increasing focus of research interest in the context of the new adaptive deep brain stimulation (DBS) approach.
Martin Lamoš, Aneta Žáčková, David Ulčák, Benjamin Gurka, Daniel Brzuchanski, Lucia Šmahovská, Martina Bočková   +6 more
wiley   +1 more source

Nonoscillatory Solutions of Second‐Order Differential Equations without Monotonicity Assumptions [PDF]

Journal of Applied Mathematics, 2012
The continuability, boundedness, monotonicity, and asymptotic properties of nonoscillatory solutions for a class of second‐order nonlinear differential equations are discussed without monotonicity assumption for function g. It is proved that all solutions can be extended to infinity, are eventually monotonic, and can be classified into disjoint ...
Wang, Lianwen, McKee, Rhonda
openaire   +4 more sources

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +1 more source

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

Existence for Nonoscillatory Solutions of Higher-Order Nonlinear Differential Equations [PDF]

ISRN Mathematical Analysis, 2011
The existence of nonoscillatory solutions of the higher-order nonlinear differential equation [r(t)(x(t)+P(t)x(t-τ))(n-1)]′+∑i=1mQi(t)fi(x(t-σi))=0,  t≥t0, where m≥1,n≥2 are integers, τ>0,  σi≥0,  r,P,Qi∈C([t0,∞),R),  fi∈C(R,R)  (i=1,2,…,m), is studied.
Tian, Yazhou, Meng, Fanwei
openaire   +2 more sources

Dynamics of Downdrafts Around a Growing Convective Cloud: A Numerical Study

Journal of Geophysical Research: Atmospheres, Volume 130, Issue 22, 28 November 2025.
Abstract We examine the dynamics of cloud‐edge downdrafts over the growth phase of isolated cumuli, combining Eulerian and Lagrangian analyses. As in previous studies, our results show that growing cumuli are surrounded by downdrafts linked to cloud‐scale quasi‐toroidal circulations at all times at middle and upper cloud levels consistent with the ...
Lianet Hernández Pardo, Hugh Morrison, Anna Possner   +2 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

Computational Fluid Dynamics of the Flow of the Deformable Toroidal Embolic Agents Within Straight and Stenotic Pipes by Full Eulerian FSI Method

International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 9, September 2025.
We numerically analyzed the flow and deformation of a toroidal embolic agent in straight and stenotic pipes with full Eulerian fluid‐structure interaction. The fluid passes through the hole of the torus, and the deformation is categorized into three deformation modes such as bending, rotation, and elongation.
Kazuki Matsumiya, Kazuyasu Sugiyama, Natsuko F. Inagaki, Shu Takagi, Taichi Ito   +4 more
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