On the number of limit cycles in generalized abel equations [PDF]
, 2020 Given p, q ∊ Z ≥ 2 with p ≠ q, we study generalized Abel differential equations (Equation presented), where A and B are trigonometric polynomials of degrees n, m ≥ 1, respectively, and we are interested in the number of limit cycles (i.e., isolated ...
Torregrosa, Joan +2 more
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Using Abel\u27s Theorem to Explain Repeated Roots of the Characteristic Equation
, 2011 This document describes how one can derive the solutions to a linear constant coefficient homogeneous differential equation with repeated roots in the characteristic equation with Abel\u27s ...
Green, William
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Exact Solution of Abel Differential Equation with Arbitrary Nonlinear Coefficients [PDF]
This paper is dedicated to present an exact solution for a nonlinear differential equation so-called Abel equation. This equation was known as one of the group of unsolvable differential equations.
Bakhshandehrostami A
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
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The composition conjecture for Abel equation
, 2009 The composition conjecture for the Abel differential equation states that if all solutions in a neighborhood of the origin are periodic then the indefinite integrals of its coefficients are compositions of a periodic function.
Alwash, M.A.M.
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U(1)-invariant membranes: The geometric formulation, Abel, and pendulum differential equations
, 2010 The geometric approach to study the dynamics of U(1)-invariant membranes is developed. The approach reveals an important role of the Abel nonlinear differential equation of the first type with variable coefficients depending on time and one of the ...
Zheltukhin, Aleksandr, +3 more
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NUMERICAL STUDIES FOR SOLVING ABEL\u27S DIFFERENTIAL EQUATION
This paper uses the Abel\u27s Equation, often used in various fields including physics and engineering, represents a mathematical model that can be complex to solve analytically.
T. F. A. Almajbri. +2 more
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Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation [PDF]
, 2016 New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are ...
Becker Leigh C. +2 more
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Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations
, 2019 This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli's, Riccati and Abel with given initial ...
Mısır, Adil +8 more
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Abel dynamic equations of first and second kind
, 2015 This paper gives the definition and analysis of Abel dynamic equations on a general time scale. As such, the results contain as special cases results for classical Abel differential equations and results for new Abel difference equations.
Streipert, Sabrina H., Bohner, Martin
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