Solvability of boundary-value problem with bounded operator in boundary conditions for fourth-order elliptic operator-differential equation

Authors

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

Page

97-112

Abstract

In the paper, we derive sufficient conditions for well-posed and unique solvability of a boundary-value problem with a bounded operator in the boundary conditions for a class of fourth-order elliptic operator-differential equations. At the same time, we make estimates for the norms of operators of intermediate derivatives closely related to the solvability conditions, which are expressed using the properties of the operator coefficients of the boundary-value problem.

Recommended Citation

Institute of Mathematics and Mechanics and RZAYEV, E. S. (2023) "Solvability of boundary-value problem with bounded operator in boundary conditions for fourth-order elliptic operator-differential equation," Baku Mathematical Journal: Vol. 2: Iss. 1, Article 9.
DOI: 10.32010/j.bmj.2023.09
Available at: https://www.bakumathj.org/home/vol2/iss1/9