On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations
We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial o-solution of this system in the form of functional series of special type. We also prove a theorem on the asymptotic behavior of this solution.
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5047 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511241954394112 |
|---|---|
| author | Kostin, A. V. Skrypnik, I. V. Костин, А. В. Скрыпник, И. В. Костин, А. В. Скрыпник, И. В. |
| author_facet | Kostin, A. V. Skrypnik, I. V. Костин, А. В. Скрыпник, И. В. Костин, А. В. Скрыпник, И. В. |
| author_sort | Kostin, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:40Z |
| description | We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial o-solution of this system in the form of functional series of special type. We also prove a theorem on the asymptotic behavior of this solution. |
| first_indexed | 2026-03-24T03:09:46Z |
| format | Article |
| fulltext |
0046
0047
0048
0049
0050
0051
0052
0053
0054
0055
|
| id | umjimathkievua-article-5047 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:09:46Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/09/5b5f745f3f87ee4b47b513532166ff09.pdf |
| spelling | umjimathkievua-article-50472020-03-18T21:23:40Z On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations Об асимптотических разложениях o-решений в теории квазилинейных систем разностных уравнений Kostin, A. V. Skrypnik, I. V. Костин, А. В. Скрыпник, И. В. Костин, А. В. Скрыпник, И. В. We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial o-solution of this system in the form of functional series of special type. We also prove a theorem on the asymptotic behavior of this solution. Досліджується квазілінійиа система різницевих рівнянь при певних умовах. Доводиться існування формального частинного о-розв'язку цієї системи у вигляді функціональних рядів спеціального типу. Доводиться також теорема про асимптотичний характер цього розв'язку. Institute of Mathematics, NAS of Ukraine 1997-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5047 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 5 (1997); 672–677 Український математичний журнал; Том 49 № 5 (1997); 672–677 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5047/6791 https://umj.imath.kiev.ua/index.php/umj/article/view/5047/6792 Copyright (c) 1997 Kostin A. V.; Skrypnik I. V. |
| spellingShingle | Kostin, A. V. Skrypnik, I. V. Костин, А. В. Скрыпник, И. В. Костин, А. В. Скрыпник, И. В. On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| title | On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| title_alt | Об асимптотических разложениях o-решений в теории квазилинейных систем разностных уравнений |
| title_full | On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| title_fullStr | On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| title_full_unstemmed | On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| title_short | On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| title_sort | on asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5047 |
| work_keys_str_mv | AT kostinav onasymptoticdecompositionsofosolutionsinthetheoryofquasilinearsystemsofdifferenceequations AT skrypnikiv onasymptoticdecompositionsofosolutionsinthetheoryofquasilinearsystemsofdifferenceequations AT kostinav onasymptoticdecompositionsofosolutionsinthetheoryofquasilinearsystemsofdifferenceequations AT skrypnikiv onasymptoticdecompositionsofosolutionsinthetheoryofquasilinearsystemsofdifferenceequations AT kostinav onasymptoticdecompositionsofosolutionsinthetheoryofquasilinearsystemsofdifferenceequations AT skrypnikiv onasymptoticdecompositionsofosolutionsinthetheoryofquasilinearsystemsofdifferenceequations AT kostinav obasimptotičeskihrazloženiâhorešenijvteoriikvazilinejnyhsistemraznostnyhuravnenij AT skrypnikiv obasimptotičeskihrazloženiâhorešenijvteoriikvazilinejnyhsistemraznostnyhuravnenij AT kostinav obasimptotičeskihrazloženiâhorešenijvteoriikvazilinejnyhsistemraznostnyhuravnenij AT skrypnikiv obasimptotičeskihrazloženiâhorešenijvteoriikvazilinejnyhsistemraznostnyhuravnenij AT kostinav obasimptotičeskihrazloženiâhorešenijvteoriikvazilinejnyhsistemraznostnyhuravnenij AT skrypnikiv obasimptotičeskihrazloženiâhorešenijvteoriikvazilinejnyhsistemraznostnyhuravnenij |