Oscillatory solutions of Emden-Fowler type differential equation
The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 more
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On numerical solution to fractional non-linear oscillatory equations [PDF]
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Gokdogan, Ahmet +2 more
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Application of the averaging method to the gyrokinetic plasma [PDF]
we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms.
Frenod, Emmanuel
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On oscillatory solutions of differential inequalities [PDF]
Oscillation properties are proved for systems of differential inequalities of the type \(\alpha_ iy_ i'y_{i+1}>0\) for \(y_{i+1}\neq 0\), \(y_ i'=0\) if \(y_{i+1}=0\), \(i=1,\dots,n\) in an interval \((a,b ...
openaire +2 more sources
We analyzed the stability of the uniform flow solution in the optimal velocity model for traffic and granular flow under the open boundary condition. It was demonstrated that, even within the linearly unstable region, there is a parameter region where ...
Aider J. L. +16 more
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Oscillations of advanced difference equations with variable arguments
Consider the first-order advanced difference equation of the form \begin{equation*} \nabla x(n)-p(n)x(\mu (n))=0\text{, }\ n\geq 1\, [\Delta x(n)-p(n)x(\nu (n))=0, n\geq 0], \end{equation*} where $\nabla $ denotes the backward difference operator ...
George Chatzarakis, Ioannis Stavroulakis
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Spatio-temporal structure of traffic flow in a system with an open boundary
The spatio-temporal structure of traffic flow pattern is investigated under the open boundary condition using the optimal velocity (OV) model. The parameter region where the uniform solution is convectively unstable is determined.
Mitarai, Namiko, Nakanishi, Hiizu
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Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients) [PDF]
Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation.
Jarosław Mikołajski, Ewa Schmeidel
doaj
Spectrally accurate space-time solution of Hamiltonian PDEs
Recently, the numerical solution of multi-frequency, highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary Value Methods (HBVMs) as spectral methods in time.
Brugnano, Luigi +3 more
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Addressing the challenges of implementation of high-order finite volume schemes for atmospheric dynamics of unstructured meshes [PDF]
The solution of the non-hydrostatic compressible Euler equations using Weighted Essentially Non-Oscillatory (WENO) schemes in two and three-dimensional unstructured meshes, is presented.
Drikakis, Dimitris +1 more
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