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 the equation is inve...
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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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| 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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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| spellingShingle |
Stability and boundedness results on certain nonlinear vector diferential equations of fourth order Tunç, C. |
| title_short |
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_sort |
stability and boundedness results on certain nonlinear vector diferential equations of fourth order |
| author |
Tunç, C. |
| author_facet |
Tunç, C. |
| publishDate |
2006 |
| language |
English |
| container_title |
Нелінійні коливання |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1562-3076 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/178376 |
| 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. |
| work_keys_str_mv |
AT tuncc stabilityandboundednessresultsoncertainnonlinearvectordiferentialequationsoffourthorder |
| first_indexed |
2025-12-07T20:27:36Z |
| last_indexed |
2025-12-07T20:27:36Z |
| _version_ |
1850882661334122496 |