On the Asymptotic Behavior of the Solutions of Some Third and Fourth Order Non-Autonomous Differential Equations

Publications of the Research Institute for Mathematical Sciences

Volumn 9, Issue 3, 1974, Pages 649-673

  Hara, Tadayuki ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042886536     PISSN: 00345318     EISSN: None     Source Type: Journal    
DOI: 10.2977/prims/1195192447     Document Type: Article

References (22)

1. Asmussen, M. A., On the behavior of solutions of certain differential equations of the fourth order, Ann. Mat. Pura. Appl., 89 (1971), 121–143.
2. Cartwright, M. L., On the stability of solutions of certain differential equations of the fourth order, Quart. J. Mech. Appl. Math., 9 (1956), 185–194.
3. Ezeilo, J. O. C., On the boundedness and the stability of solutions of some differential equations of the fourth order, J. Math. Anal. Appl., 5 (1962), 136–146.
4. Ezeilo, J. O. C., Stability results for the solutions of some third and fourth order differential equations, Ann. Mat. Pura. Appl., 66 (1964), 233–249.
5. Hara, T., On the stability of solutions of certain third order differential equations, Proc. Japan Acad., 47 (1971), 897–902.
6. Hara, T., On the asymptotic behavior of solutions of certain third order ordinary differential equations, Proc. Japan. Acad., 47 (1971), 903–908.
7. Hara, T., A remark on the asymptotic behavior of the solution of (Formula Ommitted), Proc. Japan Acad., 48 (1972), 353–355.
8. Hara, T., Remarks on the asymptotic behavior of the solutions of certain non-autonomous differential equations, Proc. Japan Acad., 48 (1972), 549–552.
9. Hara, T., On the asymptotic behavior of solutions of certain non-autonomous differential equations, to appear in Osaka J. Math.
10. Harrow, M., A stability result for solutions of certain fourth order homogeneous differential equations, J. London Math. Soc., 42 (1967), 51–56.
11. Harrow, M., Further results on the boundedness and the stability of solutions of some differential equations of the fourth order. SIAM J. Math. Anal., 1 (1970), 189–194.
12. Lalli, B. S. and Skrapek, W. S., On the boundedness and stability of some differential equations of the fourth order, SIAM J. Math. Anal., 2 (1971), 221–225.
13. Lalli, B. S. and Skrapek, W. S., Some further stability and boundedness results of some differential equations of the fourth order. Ann. Mat. Pura. Appl., 90 (1971), 167–179.
14. Reissig, R., Sansone, G. und Conti, R., Nichtlineare Differentialgleichungen Höherer Ordnung, Consiglio Nazionale delle Ricerche, Monografie Matematiche. No. 16 (1969).
15. Sinha, A. S. C., and Hoft, R. G., Stability of a nonautonomous differential equation of fourth order, SIAM J. Control, 9 (1971), 8–14.
16. Swick, K. E., On the boundedness and the stability of solutions of some non-autonomous differential equations of the third order, J. London Math. Soc., 44 (1969), 347–359.
17. Swick, K. E., Asymptotic behavior of the solutions of certain third order differential equations, SIAM J. Appl. Math., 19 (1970), 96–102.
18. Tejumola, H. O., A note on the boundedness and the stability of solutions of certain third-order differential equations, Ann. Mat. Pura. Appl., 92 (1972) 65–75.
19. Yamamoto, M., On the stability of the solutions of some non-autonomous differential equations of the third order, Proc. Japan Acad., 47 (1971), 909–914.
20. Yamamoto, M., Remarks on the asymptotic behavior of the solutions of certain third order non-autonomous differential equations, Proc. Japan Acad., 47 (1971), 915–920.
21. Yoshizawa, T., Stability Theory by Liapunov's Second Method, The Mathematical Society of Japan, 1966.
22. Zarghamee, M. S., and Mehri, B., On the behavior of solutions of certain third order differential equations, J. London Math. Soc., (2), 4 (1971), 271–276.