摘要
本文研究作用在C2周期函数空间上的微分算子u→u″+g(u) ,其中g(u)为连续有界函数.我们将证明上述微分算子的值域限制在周期函数空间的“超曲面”中.
In this paper we will study the differential operator u → u ″＋ g （u） which acts on the space of C2 periodic functions , where g （u） is a continuous bounded function which is complementary to the Landesman-Lazer case . It will be proved that the range of the differential operator above is a ＂twisted＂ strip in the space of periodic functions.
出处
《应用数学》
CSCD
北大核心
2006年第3期613-620,共8页
Mathematica Applicata
基金
Supported by the NNSFC (10325102)
TRAPOYT-M.O.E.(2001) and the National 973Project (G1999075108) of China
关键词
值域
微分算子
周期解
上下解方法
Range
Differential operator
Periodic solution
Alternative method
Upper-lower solution method
