On existence of a solution of a class of second order differential equations
| dc.contributor.author | Zhosybayeva B. | |
| dc.date.accessioned | 2025-06-24T08:21:44Z | |
| dc.date.available | 2025-06-24T08:21:44Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | The paper was devoted to the study of issues on the existence and compactness of a resolvent, as well as estimates of the distribution function of singular numbers (s-numbers) of a differential operator of mixed type in a noncompact domain. We used the embedding theorems for Sobolev-type weighted spaces, the method of a priori estimates, the uniform localization method. In this paper, besides the above methods, an approach is proposed that allows one to find two-sided estimates of singular numbers (approximation numbers, s-numbers) of differential operators containing a sign-changing parameter. As a result of the study, the following results were obtained for a class of mixed-type differential operators defined in a noncompact domain: a theorem on the existence of a bounded inverse operator was proved: a theorem on the compactness (discreteness of the spectrum) of the resolvent of a mixed-type operator was proved; a conditions to the two-sided estimate for the distribution function of singular numbers (s-numbers) of the resolvent of a mixed-type differential operator given in an unbounded domain are obtained. | |
| dc.identifier.citation | Zhosybayeva B / On existence of a solution of a class of second order differential equations / 6M060100 - Mathematics / 2019 | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/1789 | |
| dc.language.iso | en | |
| dc.publisher | Faculty of engineering and natural sciences | |
| dc.subject | math | |
| dc.subject | equation | |
| dc.subject | theorem | |
| dc.title | On existence of a solution of a class of second order differential equations | |
| dc.type | Thesis |