Results 21 to 30 of about 54,600 (268)
A Liouville’s Formula for Systems with Reflection
Mathematics, 2021 In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection.
Santiago Codesido, F. Adrián F. Tojo
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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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Solutions to Abel’s Integral Equations in Distributions
Axioms, 2018 The goal of this paper is to study fractional calculus of distributions, the generalized Abel’s integral equations, as well as fractional differential equations in the distributional space D ′ ( R + ) based on inverse ...
Chenkuan Li +2 more
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Rational Limit Cycles on Abel Polynomial Equations
Mathematics, 2020 In this paper we deal with Abel equations of the form d y / d x = A 1 ( x ) y + A 2 ( x ) y 2 + A 3 ( x ) y 3 , where A 1 ( x ) , A 2 ( x ) and A 3 ( x ) are real polynomials and A 3 ≢ 0 .
Claudia Valls
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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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The solution of the full matrix analogue of the generalized Abel equation with constant coefficients
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 The system of generalized integral Abel equations in the matrix form with constant coefficients on the segment. Was considered at the terms of the integral Riemann–Liouville operators of matrix order.
R. R. Ismagiliva
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CAS Wavelet Function Method for Solving Abel Equations with Error Analysis [PDF]
International Journal of Research in Industrial Engineering, 2017 In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations.
R. Ezzati, K. Maleknejad, E. Fathizadeh
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Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations [PDF]
, 2013 We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic terms.
Mancas, Stefan C., Rosu, Haret C.
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Partial Differential Equations in Applied Mathematics, 2020 A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
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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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