A Singular Initial-Value Problem for Second-Order Differential Equations
Abstract and Applied Analysis, 2014 We are interested in the existence of solutions to initial-value problems for second-order nonlinear singular differential equations. We show that the existence of a solution can be explained in terms of a more simple initial-value problem.
Afgan Aslanov
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Initial value problems for quad equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2015 22 pages, 34 figures, submitted to Discrete & Computational ...
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Numerical verification of solutions for nonlinear parabolic problems [PDF]
arXiv, 2018 In this paper, we present a numerical verification method of solutions for nonlinear parabolic initial boundary value problems. Decomposing the problem into a nonlinear part and an initial value part, we apply Nakao's projection method, which is based on the full-discrete finite element method with constructive error estimates, to the nonlinear part ...
arxiv
The initial value problem for linear partial differential equations with variable coefficients, I [PDF]
, 1957 Taira Shirota
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Cerebello‐Prefrontal Connectivity Underlying Cognitive Dysfunction in Spinocerebellar Ataxia Type 2
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Spinocerebellar ataxia type 2 (SCA2) is a hereditary cerebellar degenerative disorder, with motor and cognitive symptoms. The constellation of cognitive symptoms due to cerebellar degeneration is named cerebellar cognitive affective syndrome (CCAS), which has increasingly been recognized to profoundly impact patients' quality of life;
Ami Kumar +7 more
wiley +1 more source
A hyperbolic problem with nonlinear second-order boundary damping
Electronic Journal of Differential Equations, 1998 The initial boundary value problem for the wave equation with nonlinear second-order dissipative boundary conditions is considered. Existence and uniqueness of global generalized solutions are proved.
G. G. Doronin, N. A. Larkin, A. J. Souza
doaj
A novel class of Runge-Kutta-Nyström pairs sharing orders 8(6)
AIMS MathematicsWe are examining a second-order system of non-stiff Initial Value Problems (IVP), focusing on a scenario where the first derivatives are not present. In the realm of solving IVPs, Runge-Kutta-Nyström (RKN) pairs have proven to be highly effective.
Yu He +3 more
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Remarks on the initial value problem of the general partial differential equation of the first order [PDF]
, 1937 H. R. Cooley
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Clinical Phenotyping of Long COVID Patients Evaluated in a Specialized Neuro‐COVID Clinic
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To report Long COVID characteristics and longitudinal courses of patients evaluated between 4/14/21–4/14/22 at the University of Pennsylvania Neurological COVID Clinic (PNCC), including clinical symptoms, neurological examination findings, and neurocognitive screening tests from a standardized PNCC neurological evaluation approach ...
Luana D. Yamashita +7 more
wiley +1 more source
Multinomial Representation of Solutions of a Class of Singular Initial Value Problems [PDF]
, 1969 L. R. Bragg, J. W. Dettman
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