Results 21 to 30 of about 13,396 (146)

Homogeneous-Like Generalized Cubic Systems

International Journal of Differential Equations, 2016
We consider properties and center conditions for plane polynomial systems of the forms x˙=-y-p1(x,y)-p2(x,y), y˙=x+q1(x,y)+q2(x,y) where p1, q1 and p2, q2 are polynomials of degrees n and 2n-1, respectively, for integers n≥2. We restrict our attention to
G. R. Nicklason
doaj   +1 more source

On the Derivation of a Closed-Form Expression for the Solutions of a Subclass of Generalized Abel Differential Equations

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, Paul Spirakis, Yannis C. Stamatiou, Apostolos Tsiakalos   +3 more
doaj   +1 more source

Application of the Abel Equation of the 1st kind to an inflation analysis of non-exactly solvable cosmological models

, 2013
In this paper we revisit the relationship between the Einstein--Friedman and the Abel equations to demonstrate how it might be applied to the inflationary analysis in a flat Friedman universe filled with a real-valued scalar field.
Yaparova, Anna V., Yurov, Artyom V., Yurov, Valerian A.   +2 more
core   +1 more source

The Fibonacci polynomials solution for Abel's integral equation of second kind

Iranian Journal of Numerical Analysis and Optimization, 2020
Summary: We suggest a convenient method based on the Fibonacci polynomials and the collocation points for solving approximately the Abel's integral equation of second kind. Initially, the solution is supposed in the form of the Fibonacci polynomials truncated series with the unknown coefficients.
openaire   +2 more sources

Universal Curves in the Center Problem for Abel Differential Equations

, 2014
We study the center problem for the class $\mathcal E_\Gamma$ of Abel differential equations $\frac{dv}{dt}=a_1 v^2+a_2 v^3$, $a_1,a_2\in L^\infty ([0,T])$, such that images of Lipschitz paths $\tilde A:=\bigl(\int_0^\cdot a_1(s)ds, \int_0^\cdot a_2(s)ds\
Brudnyi, Alexander
core   +1 more source

Induced Photoelectron Circular Dichroism as a Probe for Distinguishing Diastereotopic Lone Electron Pairs

Angewandte Chemie International Edition, EarlyView.
Gas‐phase complexation of chiral methyloxirane by achiral phenol results in induced chiroptical response of phenol. Two pseudo enantiomer complexes are observed, corresponding to hydrogen bonding from phenol to either of the lone electron pair of the methyloxirane oxygen, denoted as Pro R and Pro S, with opposite chiral deformation of phenol and ...
Etienne Rouquet, Valéria Lepère, Gustavo A. Garcia, Laurent Nahon, Rodolphe Vuilleumier, Anne Zehnacker   +5 more
wiley   +1 more source

Financial Statement Information and Equity Value: The Role of Real Options Characteristics

Financial Management, EarlyView.
ABSTRACT This paper examines whether firm‐specific real options characteristics are equity value‐relevant beyond valuation estimates anchored in financial statements. Using extensive historical data for the United Kingdom, we assess and compare the forecast accuracy and explanatory power for stock prices of equity valuation models based on residual ...
Mingyu (Chandler) Chen, Colin Clubb, Tarik Driouchi   +2 more
wiley   +1 more source

Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4184-4197, 30 March 2026.
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell, P. Garrancho, F.J. Martínez‐Sánchez   +2 more
wiley   +1 more source

Duality between integrable Stackel systems

, 1998
For the Stackel family of the integrable systems a non-canonical transformation of the time variable is considered. This transformation may be associated to the ambiguity of the Abel map on the corresponding hyperelliptic curve.
A V Tsiganov, Arnold V I, Bolza O, Buchstaber V M, Dubrovin B A, Faddeev L D, Khoroshkin S, Kolosoff G, Noether M, Stäckel P, Stäckel P, Stäckel P, Tsiganov A V, Tsiganov A V   +13 more
core   +1 more source

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source