Stability and boundedness results on certain nonlinear vector diferential equations of fourth order

• Published in: Нелінійні коливання
• Date: 2006
• ISSN: 1562-3076
• Main Author: Tunç, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178376
• 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.

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&#...