Results 11 to 20 of about 82,878 (275)
Centers for Trigonometric Abel Equations [PDF]
Qualitative Theory of Dynamical Systems, 2011 El títol de la versió pre-print de l'article és: Strongly persistent centers for trigonometric Abel equations In this paper we introduce the notion of strongly persistent centers, together with the condition of the annulation of some generalized moments, for Abel differential equations with trigonometric coefficients as a natural candidate to ...
Cimà, Anna +2 more
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A Chiellini type integrability condition for the generalized first kind Abel differential equation [PDF]
, 2013 The Chiellini integrability condition of the first order first kind Abel equation $dy/dx=f(x)y^2+g(x)y^3$ is extended to the case of the general Abel equation of the form $dy/dx=a(x)+b(x)y+f(x)y^{\alpha -1}+g(x)y^{\alpha}$, where $\alpha \in \Re$, and ...
Harko, Tiberiu +2 more
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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]
E3S Web of ConferencesIn this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor +5 more
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Le critère d’Abel pour la résolubilité par radicaux d’une équation irréductible de degré premier
Comptes Rendus. Mathématique, 2021 In his last letter to Crelle, Abel states a criterion for the solvability by radicals of an irreducible equation of prime degree. Sylow finds Abel’s statement ambiguous, and writes that it should be modified.
Deligne, Pierre
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Periodic solutions with nonconstant sign in Abel equations of the second kind [PDF]
, 2011 The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation $x\mapsto x^{-1}$, and there are many ...
Alvarez +19 more
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On the Solution of Distributional Abel Integral Equation by Distributional Sumudu Transform
International Journal of Mathematics and Mathematical Sciences, 2011 Solution of the Abel integral equation is obtained using the Sumudu transform and further, distributional Sumudu transform, and, distributional Abel equation are established.
Deshna Loonker, P. K. Banerji
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On Smoothness of the Solution to the Abel Equation in Terms of the Jacobi Series Coefficients
Axioms, 2020 In this paper, we continue our study of the Abel equation with the right-hand side belonging to the Lebesgue weighted space. We have improved the previously known result— the existence and uniqueness theorem formulated in terms of the Jacoby series ...
Maksim V. Kukushkin
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Approximate solution of Abel integral equation in Daubechies wavelet basis
Cubo, 2021 This paper presents a new computational method for solving Abel integral equation (both first kind and second kind). The numerical scheme is based on approximations in Daubechies wavelet basis. The properties of Daubechies scale functions are employed to
Jyotirmoy Mouley +2 more
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Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping [PDF]
, 2015 We introduce a special type of dissipative Ermakov-Pinney equations of the form v_{\zeta \zeta}+g(v)v_{\zeta}+h(v)=0, where h(v)=h_0(v)+cv^{-3} and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel equation.
Mancas, Stefan C., Rosu, Haret C.
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The nonlocal problem for mixed-type equation with perpendicular lines of degeneracy is investigated for the case when the Dirichlet condition is given on the elliptic boundary, and the generalized derivatives of the solution values on the characteristics
Oleg Aleksandrovich Repin +1 more
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