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

• Date: 2007
• Main Authors: Pivovarchik, V. N., Пивоварчик, В. Н.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3339
• Journal Title: 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...