Oscillatory Property of Solutions for p(t)-Laplacian Equations [PDF]
We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang, Qihu Zhang
core +1 more source
Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias +3 more
wiley +1 more source
Monotocity properties of oscillatory solutions of two-dimensional systems of differential equations
Sufficient conditions for the monotonicity of the sequences of the absolute values of all local extrema of components of a two-dimensional systems are obtained.
Miroslav Bartusek
doaj
Oscillatory Radial Solutions of Semilinear Elliptic Equations
We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Derrick, William R. +2 more
openaire +2 more sources
Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park +5 more
wiley +1 more source
Solution of IVP of Second Order ODE with Oscillatory Solutions using Variational Iterative Method (VIM) [PDF]
A Numerical method for solution of IVP of second order with oscillatory solutions using VIM is developed. The method is applied to solve some initial value problems of second order ODE with oscillatory solutions.
Kolawole, MK, Adeniyi, MO
core +1 more source
Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation
Singular differential equation (𝑝(𝑡)𝑢)=𝑝(𝑡)𝑓(𝑢) is investigated. Here 𝑓 is Lipschitz continuous on ℝ and has at least two zeros 0 and 𝐿>0 . The function 𝑝 is continuous on [0,∞) and has a positive continuous derivative on (0,∞) and 𝑝(0)=0.
I. Rachunková, Lukás Rachunek
semanticscholar +1 more source
Oscillatory traveling wave solutions for coagulation equations
We consider Smoluchowski’s coagulation equation with kernels of homogeneity one of the form K
Niethammer, B., Velázquez, J. J. L.
openaire +2 more sources
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations [PDF]
summary:The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form \[ \Delta (a_n \Delta ^{m-1} y_n) + p_n \Delta ^{m-1} y_n + q_n f(y_{\sigma (n+m-1)}) = 0 \] where $m$ is even, is studied ...
Thandapani, E., Arul, R.
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