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一类非线性泛函微分方程的周期正解
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作者 杜秋霞 《科技情报开发与经济》 2008年第14期135-136,共2页
利用Krasnoselskii不动点指数定理,得到一类带有参数的非线性泛函微分方程x′(t)=a(t)g(x(t))x(t)-λ sum from i=1 to n(f_i(t,x(t-T_i(t)))),至少存在两个周期正解的充分条件,推广了已有文献中的相关结果。
关键词 泛函微分方程 周期正解 krasnoselskii不动点指数定理
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POSITIVE PERIODIC SOLUTION TO SECOND-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH MIXED DELAY
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作者 Yaping Ma, Zongfu Zhou , Jianzhong Xu (School of Mathematical Sciences, Anhui University, Hefei 230039) 《Annals of Differential Equations》 2012年第2期194-201,共8页
We discuss two types of second-order neutral functional differential equations with mixed delay in this paper. By applying Krasnoselskii’s fixed-point theorem, some results about the existence of positive periodic so... We discuss two types of second-order neutral functional differential equations with mixed delay in this paper. By applying Krasnoselskii’s fixed-point theorem, some results about the existence of positive periodic solution to the systems are obtained, which complement the previous known results. 展开更多
关键词 krasnoselskii’s fixed-point theorem neutral functional differential equations positive periodic solution
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