NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (2), P. 180–187
Quasi-semidefinite eigenvalue problem and applications
L. Grubiŝíc – Department of Mathematics, Faculty of Science, University of Zagreb, Bijeniĉka 30, 10000 Zagreb, Croatia; luka.grubisic@math.hr
J. Tambaĉa – Department of Mathematics, Faculty of Science, University of Zagreb, Bijeniĉka 30, 10000 Zagreb, Croatia; josip.tambaca@math.hr
In this note, we study the eigenvalue problem for a class of block operator matrix pairs. Our study is motivated by an analysis of abstract differential algebraic equations. Such problems frequently appear in the study of complex systems, e.g. differential equations posed on metric graphs, in mixed variational formulation.
Keywords: block operator matrices, metric graphs, spectral theory and eigenvalue problems.
PACS 02.30.Tb,02.70.-c, 02.10.Ud
DOI 10.17586/2220-8054-2017-8-2-180-187