Stability and boundedness results on certain nonlinear vector diferential equations of fourth order
We consider the equation
 X⁽⁴⁾ + Φ(X'')X''' + F(X, X')X'' + G(X') + H(X) = P(t, X, X', X'', X''')
 in two cases: P ≡ 0 and P ≠ 0. In the case P ≡ 0, the asymptotic stability of the zero solution X = 0 of&#...
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| Published in: | Нелінійні коливання |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/178376 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order / C. Tunç // Нелінійні коливання. — 2006. — Т. 9, № 4. — С. 548-563. — Бібліогр.: 42 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862742874851901440 |
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| author | Tunç, C. |
| author_facet | Tunç, C. |
| citation_txt | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order / C. Tunç // Нелінійні коливання. — 2006. — Т. 9, № 4. — С. 548-563. — Бібліогр.: 42 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | We consider the equation
X⁽⁴⁾ + Φ(X'')X''' + F(X, X')X'' + G(X') + H(X) = P(t, X, X', X'', X''')
in two cases: P ≡ 0 and P ≠ 0. In the case P ≡ 0, the asymptotic stability of the zero solution X = 0 of
the equation is investigated; in the case P ≠ 0 the boundedness of all solutions of the equation are proved.
Розглядається рiвняння X⁽⁴⁾ + Φ(X'')X''' + F(X, X')X'' + G(X') + H(X) = P(t, X, X', X'', X''')
у двох випадках: P ≡ 0 та P ≠ 0. У випадку P ≡ 0 вивчається асимптотична стiйкiсть
нульового розв’язку X = 0 рiвняння; у випадку P ≠ 0 доведено обмеженiсть усiх розв’язкiв
рiвняння.
|
| first_indexed | 2025-12-07T20:27:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-178376 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | English |
| last_indexed | 2025-12-07T20:27:36Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tunç, C. 2021-02-18T18:50:27Z 2021-02-18T18:50:27Z 2006 Stability and boundedness results on certain nonlinear vector diferential equations of fourth order / C. Tunç // Нелінійні коливання. — 2006. — Т. 9, № 4. — С. 548-563. — Бібліогр.: 42 назв. — англ. 1562-3076 https://nasplib.isofts.kiev.ua/handle/123456789/178376 517.9 We consider the equation
 X⁽⁴⁾ + Φ(X'')X''' + F(X, X')X'' + G(X') + H(X) = P(t, X, X', X'', X''')
 in two cases: P ≡ 0 and P ≠ 0. In the case P ≡ 0, the asymptotic stability of the zero solution X = 0 of
 the equation is investigated; in the case P ≠ 0 the boundedness of all solutions of the equation are proved. Розглядається рiвняння X⁽⁴⁾ + Φ(X'')X''' + F(X, X')X'' + G(X') + H(X) = P(t, X, X', X'', X''')
 у двох випадках: P ≡ 0 та P ≠ 0. У випадку P ≡ 0 вивчається асимптотична стiйкiсть
 нульового розв’язку X = 0 рiвняння; у випадку P ≠ 0 доведено обмеженiсть усiх розв’язкiв
 рiвняння. en Інститут математики НАН України Нелінійні коливання Stability and boundedness results on certain nonlinear vector diferential equations of fourth order Article published earlier |
| spellingShingle | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order Tunç, C. |
| title | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| title_full | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| title_fullStr | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| title_full_unstemmed | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| title_short | Stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| title_sort | stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/178376 |
| work_keys_str_mv | AT tuncc stabilityandboundednessresultsoncertainnonlinearvectordiferentialequationsoffourthorder |