Results 51 to 60 of about 3,713,292 (304)

Oscillatory Sequences of Firing in the Locust Olfactory System: Mechanisms and Functional Significance [PDF]

open access: yes, 1999
What neural codes does the brain use to represent and process sensory information? Stimulus-evoked oscillatory synchronization of neuronal activity has been observed in many systems, yet the possible functions of such rhythmic synchronization in neural ...
Wehr, Michael Stephen
core   +1 more source

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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

On oscillation and asymptotic behaviour of a neutral differential equation of first order with positive and negative coefficients

open access: yesElectronic Journal of Differential Equations, 2007
In this paper sufficient conditions are obtained so that every solution of $$ (y(t)- p(t)y(t-au))'+ Q(t)G(y(t-sigma))-U(t)G(y(t-alpha)) = f(t) $$ tends to zero or to $pm infty$ as $t$ tends to $infty$, where $au ,sigma ,alpha$ are positive real numbers, $
Prayag Prasad Mishra   +2 more
doaj  

Monotonicity conditions in oscillation to superlinear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We consider the second order differential equation \[ \bigl(a(t)|x^{\prime}|^{\alpha}\operatorname{sgn\,}x^{\prime}\bigr)^{\prime }+b(t)|x|^{\beta}\operatorname{sgn\,}x=0 \] in the super-linear case ...
Zuzana Dosla, Mauro Marini
doaj   +1 more source

On Oscillatory Solution of Delay Differential Equation and Sufficient Condition using Sumudu Transform [PDF]

open access: yes, 2015
In this study we develop sufficient condition in order to determine the solution of delay differential equation is oscillatory or not oscillatory further we also obtain a polynomial approximation to determine the stability of the ...
Eltayeb, Hassan, Kılıçman, Adem
core  

Strongly Oscillatory and Nonoscillatory Subspaces of Linear Equations

open access: yes, 1975
Consider the nth order linear equationand particularly the third order equationA nontrivial solution of (1)n is said to be oscillatory or nonoscillatory depending on whether it has infinitely many or finitely many zeros on [a, ∞).
J. Michael Dolan, Gene A. Klaasen
core   +1 more source

Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval [PDF]

open access: yes, 2014
We consider polynomials p^w_n(x) that are orthogonal with respect to the oscillatory weight w(x)=exp(iwx) on [?1,1], where w>0 is a real parameter. A first analysis of p^?_n(x) for large values of w was carried out in connection with complex Gaussian ...
Deaño Cabrera, Alfredo, Deaño, Alfredo
core   +1 more source

Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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

Asymptotic behaviour of solutions to $n$-order functional differential equations

open access: yesElectronic Journal of Differential Equations, 2005
We establish conditions for the linear differential equation $$ y^{(n)}(t)+p(t)y(g(t))=0 $$ to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations.
Seshadev Padhi
doaj  

Some properties of solutions of α-conformable differential equations with piecewise constant arguments: existence and uniqueness, asymptotic stability, oscillation and periodicity

open access: yesMathematical Modelling and Analysis
Conformable differential equations, based on the recently introduced conformable derivative, represent a novel and increasingly popular class of differential equations.
Huseyin Bereketoglu   +3 more
doaj   +1 more source

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