Abstract
We present a “non-standard method” to treat wave equations on networks, leading to a transport process on the doubled directed graph. From the node conditions, we derive a flow governed by a certain adjacency matrix which, in particular, builds the bridge to the theory of difference operators. This approach provides the fundament for a powerful method to examine (boundary-)controllability and to prove stability results for damped and delay-damped networks of wave equations. Mathematics subject classification (2010): 47B39.
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.
