Results 31 to 40 of about 387,114 (225)

Application of the averaging method to the gyrokinetic plasma [PDF]

, 2006
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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Solitary and periodic wave solutions of (2+1)-dimensions of dispersive long wave equations on shallow waters

Journal of Ocean Engineering and Science, 2021
In this investigation, the (2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang (WZ) equations are studied by using symmetry analysis.
A.A. Gaber
doaj   +1 more source

Developing Clean Technology through Approximate Solutions of Mathematical Models [PDF]

, 2012
In this paper, the role of mathematical modeling in the development of clean technology has been considered. One method each for obtaining approximate solutions of mathematical models by ordinary differential equations and partial differential ...
Anake, T. A.
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Painleve property and the first integrals of nonlinear differential equations

, 2004
Link between the Painleve property and the first integrals of nonlinear ordinary differential equations in polynomial form is discussed. The form of the first integrals of the nonlinear differential equations is shown to determine by the values of the ...
Ablowitz, Conte, Conte, Cosgrove, Drach, Dubrovin, Elwakil, Fan, Fordy, Fordy, Hone, Hénon, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Liu, Lou, Musette, Newell, Nikolai A. Kudryashov, Olver, Weiss, Weiss, Yan   +31 more
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Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications

Mathematics, 2023
For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions.
Yingying Wang, Zhinan Xia
doaj   +1 more source

A refined invariant subspace method and applications to evolution equations

, 2012
The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
A. S. Fokas, C. R. Zhu, C. X. Li, C. Z. Qu, C. Z. Qu, C. Z. Qu, G. W. Bluman, J. R. King, L. Debnath, P. J. Olver, R. Hirota, R. Hirota, R. Z. Zhdanov, S. F. Shen, S. R. Svirshchevskii, S. R. Svirshchevskii, S. S. Titov, V. A. Galaktionov, V. A. Galaktionov, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W.X. Ma, Wen-Xiu Ma   +28 more
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Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks

IEEE Access, 2016
With the fuzzy set theory, the uncertainty of nonlinear systems can be modeled using fuzzy differential equations. The solutions of these equations are the model output, but they are very difficult to obtain.
Raheleh Jafari, Wen Yu, Xiaoou Li
doaj   +1 more source

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Advances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem, Doha Mahmoud, Dumitru Baleanu, Mamdouh El-kady   +3 more
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On the boundedness of solution of the second order ordinary differential equation with damping term and involution

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In the present paper the initial value problem for the second order ordinary differential equation with damping term and involution is investigated. We obtain equivalent initial value problem for the fourth order ordinary differential equations to the ...
A. Ashyralyev, M. Ashyralyyeva, О. Batyrova   +2 more
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Al-Zughair Transform for Solving Ordinary Differential Equations with Constant Coefficients

Journal of Kufa for Mathematics and Computer
—Ordinary differential equations (ODEs) are important in the field of mathematics due to their spread in various applications. Ordinary differential equations are of two types, one of which is equations with variable coefficients and the other is ...
haneen alzubaidy, Ali Mohammed
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