Dissipative operators, symplectic geometry, and limit-circle solutions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:445

Article

Yao, Siqin¹  Sun, Jiong¹  Zettl, Anton² 

[1] Inner Mongolia Univ, Dept Math, Hohhot 010021, Peoples R China

[2] Northern Illinois Univ, Dept Math, De Kalb, IL 60115 USA

关键词: Dissipative extensions;    Symplectic geometry;    Dissipative subspaces;    Limit-circle solutions;    Boundary conditions;   

DOI  :  10.1016/j.jmaa.2016.07.068

来源: Elsevier

【 摘 要 】

For a general symmetric ordinary differential expression M and a positive weight function w, the authors characterized the dissipative and strictly dissipative extensions of the minimal operator generated by M in terms of subspaces of a symplectic geometry space. Here we characterize these subspaces in terms of LC solutions, namely, we characterize the boundary conditions of the dissipative and strictly dissipative extensions by LC solutions in a Hilbert space. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free