Results 31 to 40 of about 52,901 (306)
Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines
Cumhuriyet Science Journal, 2022 This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı +2 more
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Solving Ordinary Differential Equations with Discontinuities [PDF]
ACM Transactions on Mathematical Software, 1984 Automatic codes for differential equations can be inadequate when the solutions have discontinuities. If the user provides an external indicator for discontinuities (e.g., a switching function whose sign changes indicate discontinuities), a code can be more efficient.
Gear, C. W., Østerby, Ole
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Characteristic Neural Ordinary Differential Equations
CoRR, 2021 We propose Characteristic-Neural Ordinary Differential Equations (C-NODEs), a framework for extending Neural Ordinary Differential Equations (NODEs) beyond ODEs. While NODEs model the evolution of a latent variables as the solution to an ODE, C-NODE models the evolution of the latent variables as the solution of a family of first-order quasi-linear ...
Xingzi Xu +4 more
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Non-uniqueness and prescribed energy for the continuity equation [PDF]
, 2015 In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Gusev, Nikolay +3 more
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Van der Pol model in two-delay differential equation representation
Scientific Reports, 2022 The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
, 2012 The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. There is no problem in finding a general solution to the ordinary differential Clairaut equation. The corresponding procedure is described in details in the theory of ordinary differential equations.
L. A. Zhidova
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Boundary Value Problems, 2018 This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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On Airy Solutions of the Second Painleve Equation [PDF]
, 2016 In this paper, we discuss Airy solutions of the second Painleve equation and two related equations, the Painleve XXXIV equation and the Jimbo-Miwa-Okamoto sigma form of second Painleve equation, are discussed.
Clarkson, Peter
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FEBS Letters, EarlyView.We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley +1 more source