非自伴非紧的抽象边值问题

Non-self-Adjoint and Non-Copmpact Abstract Boundary Value Problem

在Ｈｉｌｂｅｒｔ空间研究了一类非自伴非紧的抽象边值问题，利用Ｗｉｅｎｅｒ－Ｈｏｐｆ方法构造了空间Ｘ的分裂投影，进而得出了方程解的适定性．

In this paper, a non-self-adjoint and non-compact abstract boundary value prob- lem is studied in Hilbert space X. We construct the sparting projection of space X with Wiener-Hopf method and prove the solvability of abstract boundary problem.