微分算子扰动问题的值域研究(英文)  

On the Range of the Second-Order Differential Operator with Bounded Perturbations

作　　者：孟钢[1] 章梅荣[1] 

机构地区：[1]清华大学数学科学系,北京100084

出　　处：《应用数学》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

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.

关 键 词：值域 微分算子 周期解 上下解方法 

分 类 号：O175.14[理学—数学]