Results 51 to 60 of about 320 (74)

A new uniqueness criterion for the number of periodic orbits of Abel equations

open access: yes, 2007
17 pages; no figuresInternational audienceA solution of the Abel equation $\dot{x}=A(t)x^3+B(t)x^2$ such that $x(0)=x(1)$ is called a periodic orbit of the equation.
Giacomini, H.   +3 more
core   +1 more source

Functional and differential equations [PDF]

open access: yes, 2001
Functional equations play an important role in the theory of differential equations. Euler functional equation for homogeneous functions, Abel and Schroder functional equations and their systems, iteration groups of functions are essential tools for ...
Neuman, František
core  

Abel dynamic equations of the first and second kind

open access: yes, 2012
In this work, we study Abel dynamic equations of the first and the second kind. After a brief introduction to time scales, we introduce the Abel differential equations of the first and the second kind, as well as the canonical Abel form in the continuous
Streipert, Sabrina Heike
core  

The one-parameter solution sets of the second order differential equations of third degree are associated of general Abel equation

open access: yes, 2011
Чичурін Олександр В’ячеславович - доктор фізико-математичних наук, професор кафедри геометрії і алгебри Східноєвропейського національного університету імені Лесі УкраїнкиБудуються диференціальні рівняння другого порядку третього степеня, для яких ...
Stepaniuk, H. P.   +3 more
core   +1 more source

On the number of limit cycles in generalized abel equations

open access: yes
Given p, q ∊ Z ≥ 2 with p ≠ q, we study generalized Abel differential equations (Equation presented), where A and B are trigonometric polynomials of degrees n, m ≥ 1, respectively, and we are interested in the number of limit cycles (i.e., isolated ...
Torregrosa, Joan   +2 more
core  

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