Results 31 to 40 of about 37,919 (260)
Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity [PDF]
Opuscula Mathematica, 2020 In this paper we consider the semilinear wave equation with the multiplication of logarithmic and polynomial nonlinearities. We establish the global existence and finite time blow up of solutions at three different energy levels (\(E(0)\lt d\), \(E(0)=d\)
Wei Lian, Md Salik Ahmed, Runzhang Xu
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A Non-NP-Complete Algorithm for a Quasi-Fixed Polynomial Problem
Abstract and Applied Analysis, 2013 Let be a real-valued polynomial function of the form , with degree of in An irreducible real-valued polynomial function and a nonnegative integer are given to find a polynomial function satisfying the following expression: for some constant .
Yi-Chou Chen, Hang-Chin Lai
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Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Aging and Cancer, EarlyView.Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
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Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper studies the asymptotic growth and decay properties of solutions of the stochastic pantograph equation with multiplicative noise. We give sufficient conditions on the parameters for solutions to grow at a polynomial rate in $p$-th mean and in ...
John Appleby, Evelyn Buckwar
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Computing Solutions to the Polynomial-Polynomial Regulator Problem*
2024 IEEE 63rd Conference on Decision and Control (CDC)We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system with quadratic cost function, we study polynomial systems with polynomial cost functions; we call this problem the polynomial-polynomial regulator (PPR).
Corbin, Nicholas A., Kramer, Boris
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Approximate Solutions of Polynomial Equations
Journal of Symbolic Computation, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund +3 more
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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
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Polynomial asymptotic stability of damped stochastic differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2004 The paper studies the polynomial convergence of solutions of a scalar nonlinear It\^{o} stochastic differential equation\[dX(t) = -f(X(t))\,dt + \sigma(t)\,dB(t)\] where it is known, {\it a priori}, that $\lim_{t\rightarrow\infty} X(t)=0$, a.s.
John Appleby, D. Mackey
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Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
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