Rational limit cycles of Abel differential equations [PDF]
, 2023 We study the number of rational limit cycles of the Abel equation x A(t)x 3 + B(t)x 2 , where A(t) and B(t) are real trigonometric polynomials.
Calderón Luis Ángel +2 more
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Polynomial solutions of equivariant polynomial Abel differential equations [PDF]
, 2017 Let a(x) be non-constant and let bj(x), for j = 0, 1, 2, 3, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y = b(x)y + b(x)y, with b(x) =/ 0, and the real or complex ...
Valls, Clàudia +3 more
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Computer construction of the general solution of the special form of the Abel differential equation [PDF]
, 2015 The computer method of building a general solution of the special form for the nonlinear differential equation of the second order and the Abel differential equation of the first kind is considered.
Stepaniuk, H. P. +3 more
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Solution of Abel Integral Equation Using Differential Transform Method
, 2018 The application of fractional differential transform method, developed for differential equations of fractional order, are extended to derive exact analytical solutions of fractional order Abel integral equations.
Mondal, Subhabrata +3 more
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, 2022 This article focuses on finding the numerical solution of the nonlinear time–fractional partial integro–differential equation. For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative ...
H. Aminikhah, M. Taghipour
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An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space [PDF]
, 2021 Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm with model endowed with a Caputo-Fabrizio fractional ...
Araci, Serkan +4 more
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General Solutions with Hidden Variables to the Abel Differential Equation
, 2023 Using appropriate transformation, by the coefficient decomposition method, general solutions with hidden variables (parameters) to the Abel differential equation are obtained.
Zhao, Ji-Xiang
core
On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations [PDF]
, 2017 In this paper we determine the maximum number of polynomial solutions of Bernoulli differential equations and of some integrable polynomial Abel differential equations.
Gasull, Armengol +5 more
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Almost periodic solutions for Abel equations [PDF]
, 1997 Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Lokenath Debnath +3 more
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Polynomial solutions of equivariant polynomial Abel differential equations
, 2021 Let a(x) be non-constant and let bj(x), for j = 0, 1, 2, 3, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y = b(x)y + b(x)y, with b(x) =/ 0, and the real or complex ...
Valls, Clàudia, Llibre, Jaume
core