一类中立型Duffing方程的周期解OA北大核心CSCDCSTPCD
Periodic Solutions of Neutral Duffing Equations
研究了一类含时滞的中立型Duffing方程ax"(t)+fx(t))x'(t)+cx(t)+g(x(t-T1),x’(t-T2),x"(t-T3))=p(t)=p(t+2π),结合Brouwer度及建立在Mawhin叠合度上的连续定理,讨论了上述方程2π周期解的存在条件.所得结果推广并改进了已有文献中的一些结论,使其在更为一般的Duffing方程中也成立.
In this paper, the following neural Duffing equations with delay are considered: ax"(t) +f(x(t))x'(t) + cx(t) + g(x(t - τ1 ) ,x'(t -Τ2) ,x"(t-τ3))= p(t) = p(t +2π). Combining the Brouwer degree theory with a continuation theorem based on Mawhin' s coincidence degree, a sufficient condition for the existence of 2π-periodic solution of the above equations is obtained. This result extends and improves some conclusions in the existing literature. I…查看全部>>
邓伟;蒲志林
中国民航飞行学院计算机学院,四川广汉618307四川师范大学数学与软件科学学院,四川成都610066
数理科学
周期解Duffing方程Brouwer度叠合度
periodic solutions Duffing equation Brouwer degree coincidence degree
《四川师范大学学报（自然科学版）》 2012 (5)
585-588,4
四川省应用基础研究基金(2011JY0057)资助项目
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