Boundedness and stability for a nonlinear third order differential equation

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1. EZEILO, J. O. C. (1966) - A stability result for a certain third order differential equation, «Ann. Math. Pura Appl.», 72, 1-10. Zbl0143.11602MR203177DOI10.1007/BF02414323
2. EZEILO, J. O. C. (1968) - On the boundedness of solutions of the equation $\ddot{x}+a\stackrel{\dot{}\dot{}\dot{}}{x}+f(x)\dot{x}+g(x)=p(t)$, «Ann. Math. Pura Appl.», 80, 281-330. MR241753DOI10.1007/BF02413632
3. EZEILO, J. O. C. (1962) - A stability result for the solutions of certain third order differential equations, «J. London Math. Soc.», 37, 405-409. Zbl0113.07604MR174823DOI10.1112/jlms/s1-37.1.405
4. HAAS, VIOLET (1965) - A stability result for a third order nonlinear differential equation, «J. London Math. Soc.», 40, 31-33. Zbl0126.30401MR171057DOI10.1112/jlms/s1-40.1.31
5. LALLI, B. S. (1967) - On stability of solutions of certain differential equations of the third order, «Canad. Math. Bull.», 10, 681-688. Zbl0159.12102MR227545DOI10.4153/CMB-1967-069-9
6. MÜLLER VON WOLFDIETRICH, (1909) - Über Stabilitāt und Beschrānktheit der Lösungen gewisser Differentialgleichungen dritter Ordunng, «Math. Nachr.», 41 (4-6), 335-359. MR252780DOI10.1002/mana.19690410411
7. SWICK, K. E. (1970) - A boundedness result for the solutions of certain third order differential equations, «Ann. Math. Pura Appl.», 86, 169-180. Zbl0216.11301MR274885DOI10.1007/BF02415717
8. SWICK, K. E. (1970) - Asymptotic behavior of the solutions of certain third order differential equations, «SIAM J. App. Math.», 19, 96-102. Zbl0212.11403MR267212DOI10.1137/0119008
9. TEJUMOLA, H. O. (1972) - A note on the boundedness and the stability of solutions of certain third order differential equations, «Ann. Math. Pura Appl.», 92, 64-75. MR318615DOI10.1007/BF02417936
10. VORÁČEK, J. (1965) - Einige Bemerkungen über nightlineare Differentialgleichung dritter Ordnung, «Abh. Deutsch. Akad. Wiss. Berlin Kl. Math. Phys. Tech. Jg.», I, 372-378. Zbl0178.43401
11. YOSHIZAWA, T. (1966) - Stability Theory by Liapunov's Second Method, Mathematical Society of Japan, Tokyo, Japan. Zbl0144.10802MR208086

1. Anthony Uyi Afuwape, Mathew Omonigho Omeike, Ultimate boundedness of some third order ordinary differential equations
2. Ján Andres, Boundedness results of solutions to the equation $x^{\mathrm{\prime \prime \prime }}+a{x}^{\mathrm{\prime \prime }}+g(x)x^{\prime }+h(x)=p(t)$ without the hypothesis $h(x)sgnx\ge 0$ for $|x|>R$.