Swick: Boundedness and stability for a nonlinear third order differential equation

Swick, K. E.:
Boundedness and stability for a nonlinear third order differential equation
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 56 (1974), fasc. n.6, p. 859-865, (English)
pdf, djvu. | MR 0399597 | Zbl 0326.34062

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Data l'equazione $\dddot{x} + a\ddot{x} + g(x) \dot{x} + h(x) = p(t,x,\dot{x},\ddot{x})$ l'Autore, trova per le funzioni g,h,p condizioni sufficienti per la uniforme limitatezza e convergenza a zero delle soluzioni. I risultati dipendono essenzialmente su disuguaglianze relative a $(1/x) \int_{0}^{x} g(u) \, du$, $h(x)x$.

Referenze Bibliografiche

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[8] K. E. SWICK (1970) - Asymptotic behavior of the solutions of certain third order differential equations, «SIAM J. App. Math.», 19, 96-102. | fulltext (doi) | MR 267212 | Zbl 0212.11403

[9] H. O. TEJUMOLA (1972) - A note on the boundedness and the stability of solutions of certain third order differential equations, «Ann. Math. Pura Appl.», 92, 64-75. | fulltext (doi) | MR 318615

[10] J. VORÁČEK (1965) - Einige Bemerkungen über nightlineare Differentialgleichung dritter Ordnung, «Abh. Deutsch. Akad. Wiss. Berlin Kl. Math. Phys. Tech. Jg.», I, 372-378. | Zbl 0178.43401

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Referenze Bibliografiche