Abstract
We present a general framework for the study of self-adjoint SturmLiouville problems with discontinuous boundary conditions specified at interior points of the underlying interval. Some regular such conditions have been studied and are known by various names including transmission conditions, interface conditions, multi-point conditions, point interactions (in the Physics literature) etc. Using this framework we generate additional regular conditions and singular analogues of all these regular conditions. In the singular case the solutions and their (quasi) derivatives may have finite as well as infinite jump discontinuities.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
