On the stability of the third order partial differential equation with time delay
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the initial value problem for a third-order partial differential equation with time delay within a Hilbert space was analyzed. We establish a key theorem regarding the stability of this problem.
A. Ashyralyev, S. Ibrahim, E. Hincal
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Oscillatory behavior of the second order noncanonical differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Establishing monotonical properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order noncanonical differential equation with delay/advanced argument \begin{equation*} (r(t)y'(t))'+p(t)y(\tau(t))=0. \end{equation*}
Blanka Baculíková
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source
Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay [PDF]
, 2006 We prove the existence of a stationary random solution to a delay random ordinary differential system which attracts all other solutions in both pullback and forwards senses.
Kloeden, Peter E. +2 more
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Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi +8 more
wiley +1 more source
Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein. [PDF]
Appl Math Lett, 2023 Lv J, Ma W.
europepmc +1 more source
ALDOA Promotes Glycolysis and NLRP3/GSDMD Pyroptosis to Accelerate ALS Progression
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is characterized by progressive motor neuron degeneration. Glycolytic dysregulation is implicated in disease progression, yet the underlying mechanisms remain unclear. This study investigates how Aldolase A (ALDOA) drives ALS progression through glycolysis‐mediated motor neuron pyroptosis.
Kaixin Yan +9 more
wiley +1 more source
Competitive Lotka–Volterra population dynamics with jumps
, 2011 This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive ...
Yuan, Chenggui +8 more
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RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu +21 more
wiley +1 more source
Stability implications of delay distribution for first-order and second-order systems
, 2009 In application areas, such as biology, physics and engineering, delays arise naturally because of the time it takes for the system to react to internal or external events.
Gabor Kiss +3 more
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