Results 31 to 40 of about 437 (174)
Local Field Aperiodic Spectral Power Modulated by Deep Brain Stimulation in Parkinson's Disease
Movement Disorders, Volume 41, Issue 5, Page 1163-1172, May 2026.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 +6 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 +2 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
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 +2 more
doaj +1 more source
A New Adaptive Fuzzy Logic Controller Configuration for Control Systems Design
IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.Adaptive fuzzy logic controller as a potential control scheme is introduced • Nonlinear gains based on tunable hyperbolic functions are used as input SFs • SFS algorithm is utilised for optimal design of controller parameters • Performance gained is explored on various test systems with and w/o dead time • A comparison with the cutting‐edge approaches ...
Emre Çelik
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
Impact of Grid Strength on the Transient Dynamics of Droop‐ and VSM‐Based Grid‐Forming Converters
International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.With the increasing use of converter‐based resources, it has become more crucial to comprehend the dynamic interaction between grid‐forming (GFM) control strategies and power system transients under different grid strengths. The transient performance of droop‐controlled and virtual synchronous machine (VSM)–based GFM converters exposed to significant ...
Qusay Salem +2 more
wiley +1 more source
Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations [PDF]
Symmetry, 2019 For a class of nonlinear higher-order neutral dynamic equations on a time scale, we analyze the existence and asymptotic behavior of nonoscillatory solutions on the basis of hypotheses that allow applications to equations with different integral convergence and divergence of the reciprocal of the coefficients.
Yang-Cong Qiu +3 more
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Numerical and Analytical Solutions for a Nonlinear System
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates two nonlinear reaction–diffusion systems: (i) a spatially extended competitive species model and (ii) the FitzHugh–Nagumo system, which serves as a canonical model of excitable media. For the first system, we derive exact closed‐form solutions using the exponential function method; these solutions exhibit spatially periodic ...
Badran Jasim Salim +2 more
wiley +1 more source