Moderately growing solutions of third-order differential equations with a singular nonlinearity and regularly varying coefficients

[1] Bingham, N. H., Goldie, C. M., Teugels, J. L.: Regular variation. Encyklopedia of Mathematics and its Applications 27, Cambridge University Press, Cambridge, 1987.Search in Google Scholar

[2] Jaroš, J., Kusano, T., Tanigawa, T.: Asymptotic analysis of positive solutions of a class of third order nonlinear differential equations in the framework of regular variation. Math. Nachr. 286 (2013), 205-223.Search in Google Scholar

[3] Jaroš, J., Kusano, T., Tanigawa, T.: Existence and Precise Asymptotics of Positive Solutions for a Class of Nonlinear Differenctial Equations of the Third Order. Georgian Math. J. 20 (2013), 493-531.Search in Google Scholar

[4] Kamo, K., Usami, H.: Asymptotic forms of positive solutions of quasilinear ordinary differential equations with singular nonlinearities. Nonlinear Anal. 68 (2008), 1627-1639.Search in Google Scholar

[5] Kučerová, I.: Decaying regularly varying solutions of third-order differential equations with a singular nonlinearity, Acta Univ. Palack. Olomuc., Fac. Rerum. Natur. Math. (in print).Search in Google Scholar

[6] Kusano, T., Manojlović, J.: Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation. Electron. J. Qual. Theory Differ. Equ. 45 (2012), 1-23.Search in Google Scholar

[7] Kusano, T., Manojlović, J.: Asymptotic behavior of positive solutions of sublinear differential equations of Emden-Fowler type. Comput. Math. Appl. 62 (2011), 551-565.Search in Google Scholar

[8] Kusano, T., Tanigawa, T.: Positive Solutions to a Class of Second Order Differential Equations with Singular Nonlinearities. Appl. Anal. Vol 69(1998), 315-331.Search in Google Scholar

[9] Marić, V.: Regular variation and differential equations. Lecture notes in Mathematics 1726, Springer-Verlag, Berlin-Heidelberg, 2000. 60 I. Kuce rová ˇ10.1007/BFb0103952Search in Google Scholar

[10] Tanigawa, T.: Positive solutions to second order singular differential equations involving the onedimensional M-Laplace operator. Georgian Math. J. 6 (1999) 347-362.Search in Google Scholar

[11] Taylor, A. E.: L’Hospital’s rule. Amer. Math. Monthly 59 (1952), 20-24.Search in Google Scholar

[12] Bingham, N. H., Goldie, C.M., Teugels, J.L.: Regular variation. Encyklopedia of Mathematics and its Applications 27, Cambridge University Press, Cambridge, 1987.Search in Google Scholar

[13] Jaroš, J., Kusano, L., Tanigawa, T.: Asymptotic analysis of positive solutions of a class of third order nonlinear differential equations in the framework of regular variation. Math. Nachr., Vol. 286, Issue 2-3(2013), 205-223.10.1002/mana.201100296Search in Google Scholar

[14] Jaroš, J., Kusano, L., Tanigawa, T.: Existence and Precise Asymptotics of Positive Solutions for a Class of Nonlinear Differenctial Equations of the Third Order. Georgian Math. J., Vol. 20, Issue 3 (2013), 493-531.Search in Google Scholar

[15] Kamo, K., Usami, H.: Asymptotic forms of positive solutions of quasilinear ordinary differential equations with singular nonlinearities. Nonlinear Anal. 01/2008; 68(6), 1627-1639.10.1016/j.na.2006.12.045Search in Google Scholar

[16] Kusano, T., Manojlović, J.: Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation. Electron. J. Qual. Theory Differ. Equ. 2012, No. 45 (2012), 1-23.Search in Google Scholar

[17] Kusano, T., Manojlović, J.: Asymptotic behavior of positive solutions of sublinear differential equations of Emden-Fowler type. Comput. Math. Appl., Vol. 62, Issue 2 (2011), 551-565.Search in Google Scholar

[18] Kusano, T., Tanigawa, T.: Positive Solutions to a Class of Second Order Differential Equations with Singular Nonlinearities. Appl. Anal. Vol 69(3-4) (1998), 315-331.10.1080/00036819808840665Search in Google Scholar

[19] Marić, V.: Regular variation and differential equations. Lecture notes in Mathematics Vol 1726, Springer-Verlag, Berlin-Heidelberg, 2000.10.1007/BFb0103952Search in Google Scholar

[20] Tanigawa, T.: Positive solutions to second order singular differential equations involving the onedimensional M-Laplace operator. Georgian Math. J., Vol. 6, No. 4 (1999) 347-362.Search in Google Scholar

[21] Taylor, A. E. L’Hospital’s rule. The american Mathematical Monthly 59, No. 1 (1952), 20-24. Search in Google Scholar