ON THE SPECTRAL THEORY OF A FOURTH-ORDER DIFFERENTIAL PENCIL ON THE WHOLE REAL AXIS

Authors

• Azerbaijan University
• Nigar F. Gafarova
• Agil Kh. Khanmamedov
• Baku State University

Page

58-63

Abstract

A pencil of fourth-order differential equations on the entire axis with multiple characteristics is considered. Using special solutions of a fourth-order differential equation, the spectrum of a differential pencil is studied. Necessary and sufficient conditions are found for a non-real number to be an eigenvalue of this pencil. It is proved that the operator pencil has no eigenvalues on the real axis.

Recommended Citation

Azerbaijan University; F. Gafarova, Nigar; Kh. Khanmamedov, Agil; and Baku State University (2024) "ON THE SPECTRAL THEORY OF A FOURTH-ORDER DIFFERENTIAL PENCIL ON THE WHOLE REAL AXIS," Baku Mathematical Journal: Vol. 3: Iss. 1, Article 6.
DOI: 10.32010/j.bmj.2024.06
Available at: https://www.bakumathj.org/home/vol3/iss1/6