Results 41 to 50 of about 320 (74)

On the number of limit cycles of a generalized Abel equation [PDF]

, 2011
summary:New results are proved on the maximum number of isolated $T$-periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared
Pedro J. Torres, Alkoumi, Naeem, Torres, Pedro J., Naeem Alkoumi   +3 more
core   +1 more source

On tau functions associated with linear systems [PDF]

, 2012
\noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham, Gordon Blower, Newsham, Samantha, Blower, Gordon   +3 more
core  

Existence of closed solutions for a polynomial first order differential equation

, 2007
We find new criteria for the existence of closed solutions in a first order polynomial differential equation which contains the Abel equation as a particular case.
Torres, Pedro J.
core   +1 more source

On admissible entire solutions of Pell type functional equation f² + ag² = 1

, 2019
Given a non-zero entire function a, we would like to find entire functions f and g such that a is a small function of f and g and the pair (f,g) satisfies the Pell type functional equation: f2+ag2=1.
Ng, Tuen Wai, Yang, Chung Chun, Ng, TW, Zhang, JJ, Zhang, Jian Jun, Yang, CC   +5 more
core   +1 more source

On the Existence of General Integrals of the Special Form for Abel Equation of the First Kind

, 2008
Рассматривается метод построения общего интеграла специальной формы для нелинейного дифференциального уравнения второго порядка. Получены два коэффициентных соотношения, при выполнении которых рассматриваемое уравнение имеет заданный общий интеграл ...
Чичурин, Александр Вячеславович, Chychurin, Oleksandr V., Чичурін, Олександр В’ячеславович   +2 more
core   +2 more sources

A Chiellini type integrability condition for the generalized first kind Abel differential equation

, 2013
tion of the first order first kind Abel equation dy=dx = f(x)y2 + g(x)y3 is extended to the case of the general Abel equation of the form dy=dx = a(x) + b(x)y + f(x)y1 + g(x)y, where ∈ ℜ, and > 1.
Francisco S. N. Lobo, Tiberiu Harko, M. K. Mak   +2 more
core  

On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations

, 2021
In this paper we determine the maximum number of polynomial solutions of Bernoulli differential equations and of some integrable polynomial Abel differential equations.
Cimà, Anna, Gasull i Embid, Armengol, Mañosas Capellades, Francesc   +2 more
core  

The Noble-Abel Stiffened-Gas equation of state

, 2016
International audienceHyperbolic two-phase flow models have shown excellent ability for the resolution of a wide range of applications ranging from interfacial flows to fluid mixtures with several velocities.
Le Métayer, O, Richard Saurel, Olivier Le Métayer, Saurel, Richard   +3 more
core   +1 more source

Limit cycles for generalized Abel equation

, 2009
Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqIn this work we conducted a study on the equations of the type dx dt = nå i=0 ai(t)xi; (A) where ai 2 C1, i = 0; ;n and 0 t 1.
Belisário, Hugo Leonardo da Silva
core  

Proceedings of the World Molecular Imaging Congress 2021, October 5-8, 2021: General Abstracts. [PDF]

Mol Imaging Biol, 2021
europepmc   +1 more source