Results 141 to 150 of about 822,876 (350)

Application of operator factorization in linear differential equation

, 2002
This paper presents the use of operator factorization in solving linear differential equations. First, we consider an nth order linear differential equation with constant coefficients.
Lee, Josaline M., Sy, Jeffrey Q.
core  

Novikov equations for commuting differential operators of orders 3,4,5

Journal of Geometry and Physics
We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method of compatible Poisson brackets, we find a separation of variables on a hyperelliptic curve of genus 2 for the Novikov equations.
G.B. Shabat, V.V. Sokolov, A.V. Tsiganov
openaire   +2 more sources

Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations

, 2001
We study an elliptic differential operator A on a manifold with conic points. Assuming A to be defined on the smooth functions supported away from the singularities, we first address the question of possible closed extensions of A to L^p Sobolev spaces and then explain how additional ellipticity conditions ensure maximal regularity for the operator A ...
Coriasco, S., Seiler, Jörg, Schrohe, Elmar   +2 more
openaire   +4 more sources

Functional and Structural Evidence of Neurofluid Circuit Aberrations in Huntington Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Disrupted neurofluid regulation may contribute to neurodegeneration in Huntington disease (HD). Because neurofluid pathways influence waste clearance, inflammation, and the distribution of central nervous system (CNS)–delivered therapeutics, understanding their dysfunction is increasingly important as targeted treatments emerge.
Kilian Hett, Abigail Dubois, Melanie Leguizamon, Alexander Song, Paula Trujillo, Colin D. McKnight, Ciaran M. Considine, Manus J. Donahue, Daniel O. Claassen   +8 more
wiley   +1 more source

Asymptotic behaviour of the solution of a functional-differential equation

, 1984
The asymptotic behaviour as t→∞ of the solution of the functional- differential equation y'(t) = -y(t/k), with y(0) = 1 and k > 1 , is derived from an integral representation by the method of steepest descents.
Tripp, CE
core  

Validity of a Wearable Digital Insole for Assessing Gait ON and OFF in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Gait impairment is a distinctive symptom of Parkinson's disease that negatively impact mobility. We assessed the validity of wearable digital insoles against a validated reference gait analysis system for measuring select gait characteristics in patients with Parkinson's disease. Methods A comparative analysis between digital insoles
Deborah A. Hall, Kimberly Kwei, Rolando J. Acosta, Bharatkumar Koyani, Erin Robertson, Pratyush Rai, Roland Barge, Emily Timm, Nicollette L. Purcell, Natasha Desai, Dhanesh Patel, Ana‐Maria Visoiu‐Knapp, Samuel Stuart, Rinol Alaj, Matthew F. Wipperman, Oren Levy, Joan A. O'Keefe   +16 more
wiley   +1 more source

Study on spectral representation and eigenexpansion based on eigen-operators

Tongxin xuebao, 2020
The spectral representation and expansion based on eigen-operators were deeply studied.The relations between Green’s function of characteristic differential equation and Hermitian differential and integral operators were given.The inverse relations ...
Hongyu WANG, Tianshuang QIU
doaj   +2 more sources

On the isospectral beams

Electronic Journal of Differential Equations, 2005
The free undamped infinitesimal transverse vibrations of a thin straight beam are modelled by a forth-order differential equation. This paper investigates the families of fourth-order systems which have one spectrum in common, and correspond to four ...
Kazem Ghanbari
doaj  

Interpolated Differential Operator (IDO) Scheme for Solving Partial Differential Equations

, 1996
"We present a numerical scheme to apply to wide variety of partial differential equations (PDEs) in space and time. The scheme is based on high accurate interpolation of the profile for independent variables over a local area and repetitive differential ...
"Aoki, T."
core  

Longitudinal Assessment of Biomarkers in ALS: Discriminative Biomarkers for Disease Progression and Survival

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To assess the association and discriminative performance of serum biomarkers with clinical disease progression and survival in patients with amyotrophic lateral sclerosis (ALS). Methods This retrospective study, conducted at Houston Methodist Hospital, Houston, TX, used longitudinal serum samples collected between January 2018 and ...
David R. Beers, Yueh‐Yun Lin, Jason R. Thonhoff, Aaron D. Thome, Alireza Faridar, Weihua Zhao, Shixiang Wen, Stanley H. Appel   +7 more
wiley   +1 more source