On the completeness of a system of decreasing elementary solutions for one class of fourth-order operator-differential equations on the semi-axis

Authors

• Institute of Mathematics and Mechanics
• E. S. RZAYEV

Page

199-207

Abstract

In this work, we study a homogeneous fourth-order elliptic operator-differential equation with an unbounded operator under non-homogeneous boundary conditions on the semi-axis. We obtain sufficient conditions for the completeness of decreasing elementary solutions of the equation under study in the space of all its solutions from a fourth-order Sobolev type space.

Recommended Citation

Institute of Mathematics and Mechanics and RZAYEV, E. S. (2023) "On the completeness of a system of decreasing elementary solutions for one class of fourth-order operator-differential equations on the semi-axis," Baku Mathematical Journal: Vol. 2: Iss. 2, Article 8.
DOI: 10.32010/j.bmj.2023.18
Available at: https://www.bakumathj.org/home/vol2/iss2/8