About kernel of inverse operator L' to third-order derivative's Ly = −y+q(x)y operator
| dc.contributor.author | Omer Cakir | |
| dc.date.accessioned | 2025-12-12T11:50:11Z | |
| dc.date.available | 2025-12-12T11:50:11Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | This article investigates the kernel of the inverse operator associated with the third-order differential operator defined by Ly = −y'' + q(x)y under periodic-type boundary conditions. Using Kolmogorov widths and s-number theory, we establish estimates for the operator’s properties and demonstrate that the inverse operator is a kernel operator when q(x) is continuous and satisfies q(x) ≥ 1. Several supporting lemmas are proven, including inequalities for the operator and relationships between s-numbers and Kolmogorov widths. The results provide a theoretical framework for understanding the behavior of higher-order differential operators in Hilbert and Banach spaces. | |
| dc.identifier.citation | Omer Cakir /About kernel of inverse operator L' to third-order derivative's Ly = −y+q(x)y operator / Suleyman Demirel University/ СДУ хабаршысы, 2(18). | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/2333 | |
| dc.language.iso | en | |
| dc.publisher | Suleyman Demirel University | |
| dc.rights | Attribution-NonCommercial-ShareAlike 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.subject | Third-order differential operator | |
| dc.subject | inverse operator | |
| dc.subject | kernel operator | |
| dc.subject | Kolmogorov widths | |
| dc.subject | periodic boundary conditions | |
| dc.title | About kernel of inverse operator L' to third-order derivative's Ly = −y+q(x)y operator | |
| dc.type | Article |