najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-2-180-187najo-649Research ArticleMATHEMATICSМАТЕМАТИКАQuasi-semidefinite eigenvalue problem and applicationsGrubisicL.

Department of Mathematics, Faculty of Science

Bijenicka 30, 10000 Zagreb

luka.grubisic@math.hrTambacaJ.

Department of Mathematics, Faculty of Science

Bijenicka 30, 10000 Zagreb

josip.tambaca@math.hrUniversity of ZagrebCroatia20171208202582180187Copyright © Grubisic L., Tambaca J., 20252025Grubisic L., Tambaca J.Grubisic L., Tambaca J.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/649

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.

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The authors declare that there are no conflicts of interest present.