Results 121 to 130 of about 930 (158)

Algebraic geometry of Abel differential equation

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2012
Consider a system of differential equations \[ \dot{x}= -y + F(x,y), \qquad \dot{y}=x+G(x,y), \tag{\(*\)} \] where \(F\) and \(G\) are analytic functions without constant and linear terms. This system has a center at the origin if all the solutions around the origin are periodic.
Giat, Sh.   +3 more
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On the integrable rational Abel differential equations

Zeitschrift für angewandte Mathematik und Physik, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giné, Jaume, Llibre, Jaume
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Functions Which Satisfy Abel’s Differential Equation

SIAM Journal on Applied Mathematics, 1967
(4) 4)13 + (P23 + 033 30)10203 = 1. The addition formulae and other properties have been given in recent times by Silberstein [1], Oniga [2] and Bruwier [3], [4], while Mikusinski [5], [6] and Poli [7], [8] have studied the corresponding third order circular functions. Earlier workers in this field were Appell [9], Glaisher [10] and Villarceau [11]. It
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Rational solutions of Abel trigonometric polynomial differential equations

Journal of Geometry and Physics, 2022
This paper deals with the trigonometric polynomial differential equations of the form \[ Y' = A(\theta) Y^2 + B(\theta) Y^3, \] where \(A\) and \(B\) are real trigonometric polynomials with \(B(\theta) \not\equiv 0\). This paper proves that these equations have at most two trigonometric polynomial solutions, and further shows that such solutions are ...
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Shock Waves and Abel's Differential Equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1964
AbstractIt ist shown that the ordinary non‐linear second order differential equation of the phenomenological theory of the one‐dimensional steady shock wave in heat conducting viscous gases can be transformed into the Abelian differential equation of the second class.
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Numerical Approach of Fractional Abel Differential Equation by Genocchi Polynomials

International Journal of Applied and Computational Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fariba Rigi, Haleh Tajadodi
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