应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2012年
2期
335-340
,共6页
李晓静%周友明%陈绚青%鲁世平
李曉靜%週友明%陳絢青%魯世平
리효정%주우명%진현청%로세평
周期解%存在唯一性%重合度%偏差变元
週期解%存在唯一性%重閤度%偏差變元
주기해%존재유일성%중합도%편차변원
Periodic solution%Existence and uniqueness%Coincidence degree%Deviating argument
本文允许线性项x′(t)前的系数β(t)可变号的条件下,研究如下一类具偏差变元的Duffing方程:x″(t)+β(t)x′(t)+g(t,x(t-τ(t)))=p(t).获得了周期解的存在唯一性新结果.
本文允許線性項x′(t)前的繫數β(t)可變號的條件下,研究如下一類具偏差變元的Duffing方程:x″(t)+β(t)x′(t)+g(t,x(t-τ(t)))=p(t).穫得瞭週期解的存在唯一性新結果.
본문윤허선성항x′(t)전적계수β(t)가변호적조건하,연구여하일류구편차변원적Duffing방정:x″(t)+β(t)x′(t)+g(t,x(t-τ(t)))=p(t).획득료주기해적존재유일성신결과.
In this paper,allowing the coefficient β(t) ahead of linear term x′(t) to change sign.we study a kind of differential equation with a deviating argument as follows:x〃(t) + β(t)x′(t)+g(tx(t-τ(t))) =p(t).Some new results on the existence and uniqueness of periodic solution are obtained.
