|
|||||
|
|
Two-interval Sturm-Liouville operators in modified Hilbert spaces |
|
| Authors: | Aiping Wang Jiong Sun Anton Zettl |
| Institution: | a Department of Mathematics, Inner Mongolia University, Hohhot 010021, China b Department of Mathematics, Tianjin University of Science and Technology, Tianjin 300222, China c Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA |
| Abstract: | By modifying the inner product in the direct sum of the Hilbert spaces associated with each of two underlying intervals on which the Sturm-Liouville equation is defined, we generate self-adjoint realizations for boundary conditions with any real coupling matrix whose determinant is positive. This contrasts with the usual theory which requires the coupling matrix to have determinant one. |
| Keywords: | Self-adjoint Interface conditions Transmission conditions |
| 本文献已被 ScienceDirect 等数据库收录！ | |