Results 41 to 50 of about 36,805 (178)
An Abel ordinary differential equation class generalizing known integrable classes [PDF]
European Journal of Applied Mathematics, 2003 We present a multi-parameter non-constant-invariant class of Abel ordinary differential equations with the following remarkable features. This one class is shown to unify, that is, contain as particular cases, all the integrable classes presented by Abel, Liouville and Appell, as well as all those shown in Kamke's book and various other references.
Cheb-Terrab, E. S., Roche, A. D.
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Anisotropic geodesic fluid in non-comoving spherical coordinates
, 2017 We start with a recently introduced spherically symmetric geodesic fluid model (arXiv: 1601.07030) whose energy-momentum tensor in the comoving frame is dust-like with nontrivial energy flux.
Stichel, Peter C.
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Majorana transformation for differential equations
, 2002 We present a method for reducing the order of ordinary differential equations satisfying a given scaling relation (Majorana scale-invariant equations).
Esposito, Salvatore
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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.
Chychurin, Oleksandr V. +3 more
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Abel-like differential equations with no periodic solutions
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bravo, J.L., Torregrosa, J.
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International Journal of Differential Equations, 2010 Certain nonlinear autonomous ordinary differential equations of the second order are reduced to Abel equations of the first kind ((Ab-1) equations). Based on the results of a previous work, concerning a closed-form solution of a general (Ab-1) equation ...
M. P. Markakis
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Evolution Equations in Hilbert Spaces via the Lacunae Method
Fractal and Fractional, 2022 In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
Maksim V. Kukushkin
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Fractional Abel Differential Equation Application in Edge Detection: FADEED
Journal of Image Processing and Artificial Intelligence, 2023 There is a long history of perturbed implementations of Abel differential equations in dynamics, linear systems with stochasticity, modeling approaches, and linear algebra. Numerous research has been undertaken, the bulk of which have focused on Abel differential equation techniques and the use of the Abel differential equation using the variation ...
N. Nithyadevi, P. Prakash
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Algebro-Geometric Solutions for a Discrete Integrable Equation
Discrete Dynamics in Nature and Society, 2017 With the assistance of a Lie algebra whose element is a matrix, we introduce a discrete spectral problem. By means of discrete zero curvature equation, we obtain a discrete integrable hierarchy. According to decomposition of the discrete systems, the new
Mengshuang Tao, Huanhe Dong
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Universal centers in the cubic trigonometric Abel equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné +2 more
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