Results 31 to 40 of about 2,358,486 (249)

Oscillation Criteria of Second-Order Dynamic Equations on Time Scales

open access: yes, 2021
In this paper, we consider the oscillation behavior of the following second-order nonlinear dynamic equation. λ(s)Ψ1φΔ(s)y(φ(s))ΔΔ+η(s)Φ(y(τ(s)))=0,s∈[s0,∞)T.
Jing-Feng Tian   +3 more
core   +1 more source

New Results for Kneser Solutions of Third-Order Nonlinear Neutral Differential Equations

open access: yesMathematics, 2020
In this paper, we consider a certain class of third-order nonlinear delay differential equations r w ″ α ′ v + q v x β ς v = 0 , for v ≥ v 0 , where w v = x v + p v x ϑ v .
Osama Moaaz   +3 more
doaj   +1 more source

New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation

open access: yesMathematics, 2021
In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form (a(ξ)((v(ξ)+b(ξ)v(ϑ(ξ)))′))′+c(ξ)G1(v(κ(ξ)))+d(ξ)G2(v(ς(ξ)))=0 under canonical and non-canonical operators, that is, ∫ξ0∞dξa(ξ)=∞ and ...
Shyam Sundar Santra   +4 more
doaj   +1 more source

Note on some oscillation criteria [PDF]

open access: yesProceedings of the American Mathematical Society, 1955
then (1) must be oscillatory. Various refinements as well as variations of the criterion (3) were obtained by Hartman in [1]. The present note will be devoted to the derivation of two further criteria, given in (*) and (**) below, involving the function G(t) of (3).
openaire   +2 more sources

Oscillation Criteria for Second-Order Differential Systems [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
Sufficient conditions for the oscillation of solutions to the differential system X ( t ) +
Ahmad, Shair, Travis, C. C.
openaire   +1 more source

Oscillation criteria in delay equations

open access: yesJournal of Differential Equations, 1984
Dans ce travail les auteurs donnent une méthode pour déterminer les critères d'oscillation des équations à retards aussi bien dans le cas autonome que dans le cas non autonome.
Arino, O, Györi, I, Jawhari, A
openaire   +1 more source

Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif   +17 more
wiley   +1 more source

Oscillation criteria for third order hyperbolic characteristic initial value problems

open access: yes, 1981
SynopsisSufficient conditions for oscillation of solutions to third order hyperbolic characteristic initial value problems are established. The results generalize known oscillation criteria for second order hyperbolic problems.
Norio Yoshida, C. C. Travis
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

Oscillation criteria for second-order neutral delay differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
New sufficient conditions for oscillation of second-order neutral half-linear delay differential equations are given. Our results essentially improve, complement and simplify a number of related ones in the literature, especially those from a recent ...
Martin Bohner   +2 more
doaj   +1 more source

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