On conditions of regular solvability for two classes of third-order operator-differential equations in a fourth-order Sobolev-type space

Authors

ARAZ R. ALIEV
NAZILA L. MURADOVA

Abstract

In this paper, we study two classes of operator-differential equations of the third order with a multiple characteristic, considered on the whole axis. We introduce the concept of a smooth regular solution of order 1 and obtain sufficient conditions for the "smoothly" regular solvability of these equations.

DOI

10.55730/1300-0098.3382

Keywords

Operator-differential equation, Sobolev-type space, smooth regular solution, operator pencils, eigenvalue

First Page

608

Last Page

619

Recommended Citation

ALIEV, A. R, & MURADOVA, N. L (2023). On conditions of regular solvability for two classes of third-order operator-differential equations in a fourth-order Sobolev-type space. Turkish Journal of Mathematics 47 (2): 608-619. https://doi.org/10.55730/1300-0098.3382