In this paper we define a generalized solution of an initial boundary value problem for a linear system of differential equations with one ordinary differential equation and two partial differential equations (a hybrid system of differential equations ...
E. P. Kubyshkin, O. A. Khrebtyugova
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Magnetohydrodynamics flow of nanofluid due to stretching/shrinking surface with slip effect
This research concerns with the flow of nanofluid due to a stretching/shrinking surface. The underlying problem governs the boundary layer equations for two-dimensional viscous and incompressible fluids in Cartesian coordinate system.
Tanvir Akbar +3 more
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On Lie Symmetry Analysis of Certain Coupled Fractional Ordinary Differential Equations
In this article, we explain how to extend the Lie symmetry analysis method for n-coupled system of fractional ordinary differential equations in the sense of Riemann-Liouville fractional derivative.
K. Sethukumarasamy +2 more
semanticscholar +1 more source
Numerical Solution of Stieltjes Differential Equations
This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández +1 more
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On bounded solutions of differential systems
The question of the existence of bounded solutions on an infinite interval of a linear inhomogeneous system of ordinary differential equations in a finite-dimensional space is considered. The study of bounded solutions of systems of ordinary differential
T. M. Aldibekov
doaj
On Periodic Solutions of a Nonlinear Reaction-Diffusion System
We consider a system of three parabolic partial differential equations of a special reaction-diffusion type. In this system, the terms that describe diffusion are identical and linear with constants coefficients, whereas reactions are described by ...
A. Kosov, E. Semenov
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Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]
We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
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Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories [PDF]
In general, Picard-Fuchs systems in N=2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter is used as unique independent variable instead of moduli, the resulting ...
Srivastava H. M., Yűji Ohta
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KAN-ODEs: Kolmogorov-Arnold Network Ordinary Differential Equations for Learning Dynamical Systems and Hidden Physics [PDF]
Kolmogorov-Arnold networks (KANs) as an alternative to multi-layer perceptrons (MLPs) are a recent development demonstrating strong potential for data-driven modeling. This work applies KANs as the backbone of a neural ordinary differential equation (ODE)
Benjamin C. Koenig +2 more
semanticscholar +1 more source
Quantitative model checking of continuous-time Markov chains against timed automata specifications [PDF]
We study the following problem: given a continuous-time Markov chain (CTMC) C, and a linear real-time property provided as a deterministic timed automaton (DTA) A, what is the probability of the set of paths of C that are\ud accepted by A (C satisfies A)?
Chen, Taolue +3 more
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