Results 41 to 50 of about 7,785,042 (211)

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

Oscillations of differential equations generated by several deviating arguments

Advances in Difference Equations, 2017
Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
doaj   +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

Global attractivity without stability for Liénard type systems

International Journal of Mathematics and Mathematical Sciences, 2001
We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable.
Marian Mureşan
doaj   +1 more source

Oscillations of differential equations with non-monotone deviating arguments

Advances in Difference Equations, 2019
The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are given.
George E. Chatzarakis, Irena Jadlovská, Tongxing Li   +2 more
doaj   +1 more source

Oscillations of nonlinear difference equations with deviating arguments [PDF]

Mathematica Bohemica, 2018
This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied.
George E. Chatzarakis, Julio G. Dix
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

Relative Oscillation Theory, Weighted Zeros of the Wronskian, and the Spectral Shift Function

, 2008
We develop an analog of classical oscillation theory for Sturm-Liouville operators which, rather than measuring the spectrum of one single operator, measures the difference between the spectra of two different operators. This is done by replacing zeros
A. Kneser, A. Zettl, B. Simon, B. Simon, D.R. Yafaev, F. Gesztesy, F. Gesztesy, F. Gesztesy, F.S. Rofe-Beketov, F.S. Rofe-Beketov, F.S. Rofe-Beketov, F.S. Rofe-Beketov, G. Stolz, G. Teschl, G. Teschl, G. Teschl, G. Teschl, Gerald Teschl, H. Krüger, Helge Krüger, I. Gohberg, J. Weidmann, J. Weidmann, J. Weidmann, J.C.F. Sturm, K.M. Schmidt, K.M. Schmidt, K.M. Schmidt, M. Reed, M.G. Krein, M.S.P. Eastham, M.Sh. Birman, P. Hartman, P. Hartman, P. Hartman, S.V. Khryashchev, T. Kato, W. Leighton, W. Walter   +38 more
core   +8 more sources