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

DOI

10.55730/1300-0098.3382

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.

Keywords

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

First Page

608

Last Page

619

Recommended Citation

ALIEV, ARAZ R. and MURADOVA, NAZILA 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: Vol. 47: No. 2, Article 14. https://doi.org/10.55730/1300-0098.3382
Available at: https://journals.tubitak.gov.tr/math/vol47/iss2/14