Problem with two-point conditions for parabolic equation of second order on time
The correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established. The metric theorem about estimate from below of small denominators of the problem is proved.
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2014-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1367 |
| _version_ | 1828863633472356352 |
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| author | M.M. Symotyuk I.R. Tymkiv |
| author_facet | M.M. Symotyuk I.R. Tymkiv |
| author_sort | M.M. Symotyuk |
| collection | DOAJ |
| description | The correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established. The metric theorem about estimate from below of small denominators of the problem is proved. |
| first_indexed | 2024-12-13T03:48:08Z |
| format | Article |
| id | doaj.art-535d41e05ced499aaa019419a83d6b5b |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-13T03:48:08Z |
| publishDate | 2014-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-535d41e05ced499aaa019419a83d6b5b2022-12-22T00:00:46ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102014-12-016235135910.15330/cmp.6.2.351-3591367Problem with two-point conditions for parabolic equation of second order on timeM.M. Symotyuk0I.R. Tymkiv1Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, UkraineIvano-Frankivsk National Technical University ofOil and Gas, 15 Karpatska str., 76019, Ivano-Frankivsk, UkraineThe correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established. The metric theorem about estimate from below of small denominators of the problem is proved.https://journals.pnu.edu.ua/index.php/cmp/article/view/1367parabolic equationstwo-point problemfourier seriessmall denominatorshausdorff measure |
| spellingShingle | M.M. Symotyuk I.R. Tymkiv Problem with two-point conditions for parabolic equation of second order on time Karpatsʹkì Matematičnì Publìkacìï parabolic equations two-point problem fourier series small denominators hausdorff measure |
| title | Problem with two-point conditions for parabolic equation of second order on time |
| title_full | Problem with two-point conditions for parabolic equation of second order on time |
| title_fullStr | Problem with two-point conditions for parabolic equation of second order on time |
| title_full_unstemmed | Problem with two-point conditions for parabolic equation of second order on time |
| title_short | Problem with two-point conditions for parabolic equation of second order on time |
| title_sort | problem with two point conditions for parabolic equation of second order on time |
| topic | parabolic equations two-point problem fourier series small denominators hausdorff measure |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/1367 |
| work_keys_str_mv | AT mmsymotyuk problemwithtwopointconditionsforparabolicequationofsecondorderontime AT irtymkiv problemwithtwopointconditionsforparabolicequationofsecondorderontime |