Results 21 to 30 of about 83,200 (280)
Abel's Equation and Regular Growth: Variations on a Theme by Abel [PDF]
Experimental Mathematics, 1998 Following a 70-year old suggestion of Paul Levy, a condition is formulated for the regularity of growth of real functions. The condition, which is quite explicit, makes use of the iterates of the function and solutions of Abel's functional equation, and is well adapted to a computer testing.
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Planar nonautonomous polynomial equations V. The Abel equation [PDF]
Opuscula Mathematica, 2013 We give a full description of the dynamics of the Abel equation \(z'=z^3+f(t)\) for some special complex valued \(f\). We also prove the existence of at least three periodic solutions for equations of the form \(z'=z^n+f(t)\) for odd \(n \geq 5\).
Paweł Wilczyński
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Homotopy analysis method for solving Abel differential equation of fractional order
Open Physics, 2013 Jafari Hossein +3 more
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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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Approximate solution of Abel integral equation in Daubechies wavelet basis
Cubo, 2021 This paper presents a new computational method for solving Abel integral equation (both first kind and second kind). The numerical scheme is based on approximations in Daubechies wavelet basis. The properties of Daubechies scale functions are employed to
Jyotirmoy Mouley +2 more
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Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping [PDF]
, 2015 We introduce a special type of dissipative Ermakov-Pinney equations of the form v_{\zeta \zeta}+g(v)v_{\zeta}+h(v)=0, where h(v)=h_0(v)+cv^{-3} and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel equation.
Mancas, Stefan C., Rosu, Haret C.
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The nonlocal problem for mixed-type equation with perpendicular lines of degeneracy is investigated for the case when the Dirichlet condition is given on the elliptic boundary, and the generalized derivatives of the solution values on the characteristics
Oleg Aleksandrovich Repin +1 more
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Cubic Systems and Abel Equations
Journal of Differential Equations, 1998 Consider autonomous differential systems of the type \[ dx/dt = \lambda x + y + P_2 (x,y)+ P_3 (x,y), \qquad dy/dt =-x+ \lambda y + Q_2 (x,y)+ Q_3 (x,y),\tag \(*\) \] where \(P_i (x,y)\) and \(Q_i (x,y)\), \(i=2,3\), are homogeneous polynomials of degree \(i\).
Devlin, J., Lloyd, N.G., Pearson, J.M.
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Stable Synapse‐Like Memory Switching in N‐Heterocyclic Carbene Monolayers
Angewandte Chemie, EarlyView.We report a redox‐active N‐heterocyclic carbene (NHC) monolayer showing synapse‐like behavior via proton‐coupled electron transfer (PCET). These quinone‐functionalized NHCs form dense self‐assembled monolayers and highly stable molecular junctions. Bias‐driven PCET switches quinone/hydroquinone states, producing reversible hysteresis and spike‐timing ...
Ankita Das +11 more
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Black branes with cosmological constant
Journal of High Energy Physics, 2022 We study neutral black branes with flat and curved worldvolumes in the presence of a negative cosmological constant. We reduce the equations governing the dynamics of such objects to one second-order ODE and perform various asymptotic expansions of the ...
Rhucha Deshpande, Oleg Lunin
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