On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations
The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞.
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| Дата: | 2002 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2002
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/164623 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations / Tran Thi Loan, Nguyen Manh Hung // Український математичний журнал. — 2002. — Т. 54, № 12. — С. 1714–1719. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1646232020-02-11T01:25:34Z On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations Tran Thi Loan Nguyen Manh Hung Короткі повідомлення The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞. Розглядається експоненціальна стійкість нульового розв'язку сильно неавтономних параболічних рівнянь. Знайдено умови для залежних від часу коефіцієнтів параболічного рівняння, при яких його розв'язки експоненціально збігаються до 0 при t → ∞. 2002 Article On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations / Tran Thi Loan, Nguyen Manh Hung // Український математичний журнал. — 2002. — Т. 54, № 12. — С. 1714–1719. — Бібліогр.: 7 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164623 517.9 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Короткі повідомлення Короткі повідомлення |
| spellingShingle |
Короткі повідомлення Короткі повідомлення Tran Thi Loan Nguyen Manh Hung On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations Український математичний журнал |
| description |
The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞. |
| format |
Article |
| author |
Tran Thi Loan Nguyen Manh Hung |
| author_facet |
Tran Thi Loan Nguyen Manh Hung |
| author_sort |
Tran Thi Loan |
| title |
On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_short |
On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_full |
On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_fullStr |
On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_full_unstemmed |
On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_sort |
on the stability of semilinear nonautonomous evolution equations in banach spaces and its application to strongly parabolic equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2002 |
| topic_facet |
Короткі повідомлення |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/164623 |
| citation_txt |
On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations / Tran Thi Loan, Nguyen Manh Hung // Український математичний журнал. — 2002. — Т. 54, № 12. — С. 1714–1719. — Бібліогр.: 7 назв. — англ. |
| series |
Український математичний журнал |
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2023-10-18T22:14:17Z |
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2023-10-18T22:14:17Z |
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