ON THE MINIMALITY OF A PART OF EIGEN- AND ASSOCIATED VECTORS FOR A CLASS OF THIRD-ORDER QUASI-ELLIPTIC OPE

Authors

• Azerbaijan State Oil and Industry University (ASOIU)
• Aydan T. Gazilova
• Sabir S. Mirzoev
• Baku State University

Page

110-118

Abstract

In the paper, we derive sufficient conditions on the coefficients of a thirdorder quasi-elliptic operator pencil, ensuring the minimality of its system of eigen- and associated vectors corresponding to eigenvalues from the left half-plane. Additionally, we prove a theorem on the minimality of decreasing elementary solutions to a homogeneous equation in a Sobolev-type space.

Recommended Citation

Azerbaijan State Oil and Industry University (ASOIU); T. Gazilova, Aydan; S. Mirzoev, Sabir; and Baku State University (2024) "ON THE MINIMALITY OF A PART OF EIGEN- AND ASSOCIATED VECTORS FOR A CLASS OF THIRD-ORDER QUASI-ELLIPTIC OPE," Baku Mathematical Journal: Vol. 3: Iss. 1, Article 10.
DOI: 10.32010/j.bmj.2024.10
Available at: https://www.bakumathj.org/home/vol3/iss1/10