Results 31 to 40 of about 930 (158)
Periodic solutions of Abel differential equations
Journal of Mathematical Analysis and Applications, 2007 For a class of polynomial non-autonomous differential equations of degree n, we use phase plane analysis to show that each equation in this class has n periodic solutions. The result implies that certain rigid two-dimensional systems have at most one limit cycle which appears through multiple Hopf bifurcation.
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Exact solution of the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model
Electronic Journal of Qualitative Theory of Differential EquationsAn exact solution of an initial value problem for the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model is derived, and various properties of the exact solution are obtained.
Norio Yoshida
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Advances in Difference Equations, 2021 In this paper, we extend existing population growth models and propose a model based on a nonlinear cubic differential equation that reveals itself as a special subclass of Abel differential equations of first kind.
Benjamin Wacker, Jan Christian Schlüter
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Abel-like differential equations with a unique limit cycle [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 Agraïments: M.J.A. was partially supported by grants MTM2005-06098-C02-1. J.L.B. and M.F. were partially supported by grant FEDER(UE) MTM2008-05460.
Álvarez Torres, María Jesús +2 more
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Five-dimensional monopole equation with hedgehog ansatz and Abel’s differential equation [PDF]
Physical Review D, 2008 We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation. The equation can be translated into the Abel's differential equation of the second kind and is an algebraic differential ...
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On the Abel differential equations of third kind
Discrete & Continuous Dynamical Systems - B, 2020 In this paper, using Poincaré compactification, the authors give a classification of the topological phase portraits of a special kind of quadratic differential systems, namely the Abel quadratic equation of third kind. The paper also describes the maximal number of polynomial solutions that Abel polynomial differential equations can have.
Oliveira, Regilene, Valls, Cláudia
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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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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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Electronic Journal of Differential Equations, 2017 Let $A(\theta)$ non-constant and $B_j(\theta)$ for $j=0,1,2,3$ be real trigonometric polynomials of degree at most $\eta \ge 1$ in the variable x. Then the real equivariant trigonometric polynomial Abel differential equations $A(\theta) y' =B_1(\theta)
Claudia Valls
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International Journal of Differential Equations, 2013 We investigate the properties of a general class of differential equations described by dy(t)/dt=fk+1(t)y(t)k+1+fk(t)y(t)k+⋯+f2(t)y(t)2+f1(t)y(t)+f0(t), with k>1 a positive integer and fi(t), 0≤i≤k+1, with fi(t), real functions of t.
Panayotis E. Nastou +3 more
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