On Solutions of First Order Stochastic Partial Differential Equations
This note is concerned with an important for modelling question of existence of solutions of stochastic partial differential equations as proper stochastic processes, rather than processes in the generalized sense. We consider a first order stochastic partial differential equations of the form $\pd Ut = DW$, and $\pd Ut-\pd Ux= DW$, where $D$ is a ...
Hamza, K., Klebaner, F. C.
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Phenotyping Healthcare Use 2–3 Decades Before the First Multiple Sclerosis Demyelinating Event
ABSTRACT Objective Phenotype hospital, physician, and emergency department (ED) visits by diagnoses and specialty up to 29 years pre‐multiple sclerosis (MS) onset versus a matched population without MS. Methods We identified people with MS (PwMS) using population‐based administrative data from Ontario, Canada (1991–2020).
Helen Tremlett+8 more
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The Solution of Partial Differential Equations of the Second Order, with any number of variables, when there is a general first integral [PDF]
H. W. Lloyd Tanner
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Influence of Dystrophin Isoform Deficiency on Motor Development in Duchenne Muscular Dystrophy
ABSTRACT Objective In Duchenne muscular dystrophy (DMD), lack of the shorter dystrophin isoforms Dp140 and Dp71 is associated with increased central nervous system (CNS) involvement. We aimed to investigate how CNS involvement affects motor development in young DMD boys.
Mary Chesshyre+152 more
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On the theory of the solution of a system of simultaneous non-linear partial differential equations of the first order [PDF]
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Solutions Near Singular Points to the Eikonal and Related First Order Non-linear Partial Differential Equations in Two Independent Variables [PDF]
Emil Cornea+2 more
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On essentially nonlinear partial differential equations of the first order [PDF]
Tadeusz Ważewski
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Calculus of variations and partial differential equations of the first order. Part II : Calculus of variations, by C. Carathéodory. (Translated from he German by Robert B. Dean). Holden-Day Inc., San Francisco, 1967, xvi + 398 pages. U.S. $10.75. [PDF]
Hanno Rund
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Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez+2 more
wiley +1 more source
In this study, the explicit finite difference method is used to solve the fractional-order pseudo-hyperbolic telegraph partial differential equation by means of Caputo fractional derivative.
Sadeq Taha Abdulazeez, Mahmut Modanli
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