By means of continuation theorem of coincidence degree theory,some new results on the nonexistence,existence and uniqueness of T-periodic solutions to a kind of second order neutral Linard equations with a deviating a...By means of continuation theorem of coincidence degree theory,some new results on the nonexistence,existence and uniqueness of T-periodic solutions to a kind of second order neutral Linard equations with a deviating argument are obtained.展开更多
In this paper,by a coincidence degree theory,the existence of periodic solutions to a Linard equation with multiple delays is established,which substantially extends some results in the previous literatures.
We investigate the generalized polynomial Linard differential equations. Using the averaging theory of first and second order, we obtain the maximum number of limit cycles of the system.
In this paper,the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions.It ought to be noted that using Schauder fixed point ...In this paper,the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions.It ought to be noted that using Schauder fixed point theorem to discuss such a problem will cause a failure.展开更多
基金Supported by the National Natural Science Foundation of China(10371006)Natural ScienceFoundation of Anhui Province(050460103)Anhui Educational Bureau(2005kj031ZD)
文摘By means of continuation theorem of coincidence degree theory,some new results on the nonexistence,existence and uniqueness of T-periodic solutions to a kind of second order neutral Linard equations with a deviating argument are obtained.
文摘In this paper,by a coincidence degree theory,the existence of periodic solutions to a Linard equation with multiple delays is established,which substantially extends some results in the previous literatures.
文摘We investigate the generalized polynomial Linard differential equations. Using the averaging theory of first and second order, we obtain the maximum number of limit cycles of the system.
基金supported by the Foundation of Fujian Education Bureau(JB08029)
文摘In this paper,the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions.It ought to be noted that using Schauder fixed point theorem to discuss such a problem will cause a failure.
