Contributions to Books:

V Pivovarchik, H. Woracek:
"Eigenvalue Asymptotics for a Star-Graph Damped Vibrations Problem";
in: "ASC Report 20/2010", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2010, ISBN: 978-3-902627-03-2.

English abstract:
We consider a boundary value problem generated by Sturm-Liouville
equations on the edges of a star-shaped graph. Thereby a continuity condition
and a condition depending on the spectral parameter is imposed at
the interior vertex, corresponding to the case of damping in the problem
of small transversal vibrations of a star graph of smooth inhomogeneous
strings. At the pendant vertices Dirichlet boundary conditions are imposed.
We describe the eigenvalue asymptotics of the problem under

Eigenvalue asymptotics, Sturm-Liouville theory, star-graph, Kirchhoff

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.