Results 61 to 70 of about 3,819,966 (316)
Известия Иркутского государственного университета: Серия "Математика", 2021 The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic ...
K.B. Mansimov, R.O. Mastaliyev
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Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz +11 more
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On the Superstability Related with the Trigonometric Functional Equation
Advances in Difference Equations, 2009 We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y), f(x+y)±g(x−y)=λg(x)f(y), f(x+y)±g(x−y)=&
Gwang Hui Kim
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Mathematical Modelling and Analysis, 2017 In this study, a reduced-order extrapolation spectral-finite difference (ROESFD) scheme based on the proper orthogonal decomposition (POD) method is set up for the two-dimensional (2D) second-order hyperbolic equations.
Zhendong Luo, Shiju Jin
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Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients
, 2008 Dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficients are considered. The global time decay estimates of $L^p-L^q$ norms of propagators are obtained, and it is shown how
Ruzhansky, Michael, Smith, James
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Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory [PDF]
SIAM Journal on Mathematical Analysis, 2013 The aim of this paper is to show how a weakly dispersive perturbation of the inviscid Burgers equation improves (enlarges) the space of resolution of the local Cauchy problem.
F. Linares, Didier Pilod, J. Saut
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
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Oblique derivative problems for second-order hyperbolic equations with degenerate curve
Electronic Journal of Differential Equations, 2011 The present article concerns the oblique derivative problem for second order hyperbolic equations with degenerate circle arc. Firstly the formulation of the oblique derivative problem for the equations is given, next the representation and estimates ...
Guo-Chun Wen
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A boundary value problem for nonlinear differential equation with arbitrary functions
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 This article describes a semi-batch nonlinear boundary value problem for differential equations with partial derivatives. The equations containing arbitrary parameters were considered in Whitham G.B.
N. T. Orumbayeva, G. Sabitbekova
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Computation, 2023 In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath +2 more
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