Results 41 to 50 of about 3,885 (102)
On an Euler–Abel Type Transform of Trigonometric Series
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.In the paper, we give several limit case Euler–Abel type transforms for alternating cosine and sine series. Making use of a property of the operator of generalized difference, applied in the transforms, we give transforms for nonalternating series, which are stronger than similar transforms for alternating series given earlier.
N. Sh. Berisha +3 more
wiley +1 more source
Elliptic solutions to difference non-linear equations and related many-body problems
, 1997 We study algebro-geometric (finite-gap) and elliptic solutions of fully discretized KP or 2D Toda equations. In bilinear form they are Hirota's difference equation for $\tau$-functions.
Krichever, I. +2 more
core +1 more source
, 2020 The article is devoted to the expansions of iterated Stratonovich stochastic integrals of multiplicities 1 to 4 on the basis of the method of generalized multiple Fourier series that are converge in the sense of norm in Hilbert space $L_2([t, T]^k),$ $k ...
Kuznetsov, Dmitriy F.
core +2 more sources
Methods in Mathematica for Solving Ordinary Differential Equations
, 2011 An overview of the solution methods for ordinary differential equations in the Mathematica function DSolve is presented.Comment: 13 ...
Göktaş, Ünal, Kapadia, Devendra
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, 2018 The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however, can
Vieira, R. S.
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The Faà di Bruno Hopf Algebra for Multivariable Feedback Recursions in the Center Problem for Higher Order Abel Equations [PDF]
, 2016 Poincare’s center problem asks for conditions under which a planar polynomial system of ordinary differential equations has a center. It is well understood that the Abel equation naturally describes the problem in a convenient coordinate system. In 1990,
K. Ebrahimi-Fard, W. Gray
semanticscholar +1 more source
If Archimedes would have known functions [PDF]
, 2014 These are notes and slides from a Pecha-Kucha talk given on March 6, 2013. The presentation tinkered with the question whether calculus on graphs could have emerged by the time of Archimedes, if the concept of a function would have been available 2300 ...
Knill, Oliver
core
From Abel’s differential equations to Hilbert’s 16th problem
São Paulo Journal of Mathematical SciencesThe study of the limit cycles of planar polynomial differential equations is motivated both by its appearance in many mathematical models of the real-world as for the second part of Hilbert’s 16th problem.
A. Gasull
semanticscholar +1 more source
Lower bounds for the number of limit cycles of trigonometric Abel equations [PDF]
, 2006 "Vegeu el resum a l'inici del document del fitxer adjunt"
Gasull i Embid, Armengol +3 more
core
Complex Centers of Polynomial Differential Equations
, 2007 We present some results on the existence and nonexistence of centers for polynomial first order ordinary differential equations with complex coefficients.
M. Alwash, Mohamad Ali
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