On the polynomial approximation of solution for the Cauchy problem
The Cauchy problem for a nonhomogeneous first-order differential-operator equation of parabolic type in a Hilbert space is considered. Polynomial approximations and estimates of their convergence are obtained which depend on the character of the right-hand side and the initial conditions.
Saved in:
| Date: | 1991 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9627 |
| 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_ | 1860513545309913088 |
|---|---|
| author | Ismailov , Z. I. Исмаилов , З. И. |
| author_facet | Ismailov , Z. I. Исмаилов , З. И. |
| author_sort | Ismailov , Z. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-10-09T12:05:28Z |
| description | The Cauchy problem for a nonhomogeneous first-order differential-operator equation of parabolic type in a Hilbert space is considered. Polynomial approximations and estimates of their convergence are obtained which depend on the character of the right-hand side and the initial conditions. |
| first_indexed | 2026-03-24T03:46:23Z |
| format | Article |
| fulltext |
Skip to main content
Skip to main navigation menu
Skip to site footer
Open Menu
Ukrains’kyi Matematychnyi Zhurnal
Current
Archives
Submissions
Major topics of interest
About
About Journal
Editorial Team
Ethics & Disclosures
Contacts
Search
Register
Login
Home
/
Login
Login
Required fields are marked with an asterisk: *
Subscription required to access item. To verify subscription, log in to journal.
Login
Username or Email
*
Required
Password
*
Required
Forgot your password?
Keep me logged in
Login
Register
Language
English
Українська
Information
For Readers
For Authors
For Librarians
subscribe
Subscribe
Latest publications
Make a Submission
Make a Submission
STM88 menghadirkan Link Gacor dengan RTP tinggi untuk peluang menang yang lebih sering! Bergabunglah sekarang dan buktikan keberuntungan Anda!
Pilih STM88 sebagai agen toto terpercaya Anda dan nikmati kenyamanan bermain dengan sistem betting cepat, result resmi, dan bonus cashback harian.
|
| id | umjimathkievua-article-9627 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:46:23Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e6/f8abe06c89fa77a6659cd7c11c5f7fe6 |
| spelling | umjimathkievua-article-96272025-10-09T12:05:28Z On the polynomial approximation of solution for the Cauchy problem Об одном полиномиальном приближении решения задачи Коши Ismailov , Z. I. Исмаилов , З. И. - The Cauchy problem for a nonhomogeneous first-order differential-operator equation of parabolic type in a Hilbert space is considered. Polynomial approximations and estimates of their convergence are obtained which depend on the character of the right-hand side and the initial conditions. Рассматривается задача Коши для неоднородного дифференциально-операторного уравнения первого порядка параболического типа в гильбертовом пространстве. В зависимости от характера правой части и начальных условий получены полиномиальные приближения и оценки их сходимости. Розглядається задача Коші для неоднорідного диференціально-операторного рівняння першого порядку параболічного типу у гільбертовому просторі. В залежності від характеру правої частини і початкових умов одержані поліноміальні наближення і оцінки їх збіжності. Institute of Mathematics, NAS of Ukraine 1991-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9627 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 3 (1991); 427-429 Український математичний журнал; Том 43 № 3 (1991); 427-429 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9627/10595 Copyright (c) 1991 З. И. Исмаилов |
| spellingShingle | Ismailov , Z. I. Исмаилов , З. И. On the polynomial approximation of solution for the Cauchy problem |
| title | On the polynomial approximation of solution for the Cauchy problem |
| title_alt | Об одном полиномиальном приближении решения задачи Коши |
| title_full | On the polynomial approximation of solution for the Cauchy problem |
| title_fullStr | On the polynomial approximation of solution for the Cauchy problem |
| title_full_unstemmed | On the polynomial approximation of solution for the Cauchy problem |
| title_short | On the polynomial approximation of solution for the Cauchy problem |
| title_sort | on the polynomial approximation of solution for the cauchy problem |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9627 |
| work_keys_str_mv | AT ismailovzi onthepolynomialapproximationofsolutionforthecauchyproblem AT ismailovzi onthepolynomialapproximationofsolutionforthecauchyproblem AT ismailovzi obodnompolinomialʹnompribliženiirešeniâzadačikoši AT ismailovzi obodnompolinomialʹnompribliženiirešeniâzadačikoši |