On spectra of a certain class of quadratic operator pencils with one-dimensional linear part

• Datum: 2007
• Hauptverfasser: Pivovarchik, V. N., Пивоварчик, В. Н.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3339
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a class of quadratic operator pencils that occur in many problems of physics. The part of such a pencil linear with respect to the spectral parameter describes viscous friction in problems of small vibrations of strings and beams. Patterns in the location of eigenvalues of such pencils a...