Geodesic
Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1153-1165 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we consider positive unbounded solutions of second order quasilinear ordinary differential equations. Our objective is to determine the asymptotic forms of unbounded solutions. An application to exterior Dirichlet problems is also given.
In this paper we consider positive unbounded solutions of second order quasilinear ordinary differential equations. Our objective is to determine the asymptotic forms of unbounded solutions. An application to exterior Dirichlet problems is also given.
Classification : 34C11, 34D05, 35B40, 35D05, 35D30, 35J62
Keywords: quasilinear ordinary differential equation; asymptotic form; unbounded solution 
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Kamo, Ken-ichi; Usami, Hiroyuki. Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1153-1165. http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a20/

[1] Bellman, R.: Stability Theory of Differential Equations. McGraw-Hill New York (1953) (Reprint: Dover, 1969). | MR | Zbl

[2] Berkovich, L. M.: The generalized Emden-Fowler equation. In: Symmetry in Nonlinear Physics. Proc. 2nd International Conference, Kyiv, Ukraine, July 7-13, 1997 Institute of Mathematics of the National Academy of Sciences of Ukraine Kyiv (1997), 155-163. | MR | Zbl

[3] Kamo, K.: Asymptotic equivalence for positive decaying solutions of quasilinear ordinary differential equations and its application to elliptic problems. Arch. Math., Brno 40 (2004), 209-217. | MR

[4] Kamo, K., Usami, H.: Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equation. Adv. Math. Sci. Appl. 10 (2000), 673-688. | MR

[5] 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. | DOI | MR | Zbl

[6] Kiguradze, I. T., Chanturiya, T. A.: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Kluwer Dordrecht (1992).

[7] Kura, T.: The weak supersolution-subsolution method for second order quasilinear elliptic equations. Hiroshima Math. J. 19 (1989), 1-36. | DOI | MR | Zbl

[8] Lima, P. M.: Numerical methods and asymptotic error expansions for the Emden-Fowler equations. J. Comput. Appl. Math. 70 (1996), 245-266. | DOI | MR | Zbl

[9] Luning, C. D., Perry, W. L.: Positive solutions of negative exponent generalized Emden-Fowler boundary value problems. SIAM J. Math. Anal. 12 (1981), 874-879. | DOI | MR | Zbl

[10] 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. | DOI | MR | Zbl

[11] Tanigawa, T.: Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations. Adv. Math. Sci. Appl. 9 (1999), 907-938. | MR | Zbl