Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence
quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence
Summary:
This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.
References:
[1] Cecchi M., Došlá Z., Marini M.: On the dynamics of the generalized Emden-Fowler equation. Georgian Math. J. 7 (2000), 269–282. MR 1779551 | Zbl 0961.34021
[2] Elbert Á., Kusano T.: Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations. Acta Math. Hungar. 56 (1990), 325–336. MR 1111319
[3] Kamo K., Usami H.: Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations. Adv. Math. Sci. Appl. 10 (2000), 673–688. MR 1807447 | Zbl 0997.34038
[4] Kamo K., Usami H.: Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity. Hiroshima Math. J. 31 (2001), 35–49. MR 1820693 | Zbl 0997.34038
[5] Kura T.: The weak supersolution-subsolution method for second order quasilinear elliptic equations. Hiroshima Math. J. 19 (1989), 1–36. MR 1009660 | Zbl 0735.35056
[6] Mirzov J. D.: On some analogs of Strum’s and Kneser’s theorems for nonlinear systems. J. Math. Anal. Appl. 53 (1976), 418–425. MR 0402184
[7] Mizukami M., Naito M., Usami H.: Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations. Hiroshima Math. J. 32 (2002), 51–78. MR 1892669 | Zbl 1017.34053
[8] Tanigawa T.: Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations. Adv. Math. Sci. Appl. 9 (1999), 907–938. MR 1725693 | Zbl 1025.34043
Search
Partner of
