Asymptotic behavior of positive solutions of singular Emden-Fowler type equations

Hiroyuki USAMI

doi:10.2969/jmsj/04620195

Hiroyuki USAMI

Author information

JOURNAL FREE ACCESS

1994 Volume 46 Issue 2 Pages 195-211

DOI https://doi.org/10.2969/jmsj/04620195

Details

Published: 1994 Received: July 13, 1992 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Takasi Kusano on his 60th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. M. Ad'yutov, Yu. A. Klokov and A. P. Mikhailov, Some problems for an ordinary differential equation arising in gas dynamics, Differential Equations, 26 (1990), 803-805.
2) R. Bellman, Stability Theory of Differential Equations, McGraw-Hill, New York, 1953, Reprint: Dover, New York, 1969.
3) A. J. Callegari and M. B. Friedman, An analytical solution of a nonlinear singular boundary value problem in the theory of viscous fields, J. Math. Anal. Appl., 21 (1968), 510-529.
4) A. J. Callegari and A. Nachman, Some singular, nonlinear differential equations arising in boundary layer theory, J. Math. Anal. Appl., 64 (1978), 96-105.
5) A. J. Callegari and A. Nachman, A nonlinear singular boundary value problem in the theory of pseudoplastic fluids, SIAM J. Appl. Math., 38 (1980), 275-281.
6) T. A. Chanturiya, On the asymptotic representation of the solutions of the equation u”.a(t)|u|ⁿ sign u, Differential Equations, 8 (1972), 914-923.
7) M. A. Demidov, Yu. A. Klokov and A. P. Mikhailov, On some singular problems for second-order ordinary differential equations, Differentsial'nye Uravneniya, 23 (1987), 1278-1282.
8) T. Kusano and C. A. Swanson, Asymptotic theory of singular semilinear elliptic equations, Canad. Math. Bull., 27 (1984), 223-232.
9) H. Usami, On positive decaying solutions of singular Emden-Fowler type equations, Nonlinear Anal., 16 (1991), 795-803.
10) H. Usami, Positive solutions of singular Emden-Fowler type systems, Hiroshima Math. J., 22 (1992), 421-431.

Right : [1] M. M. Ad'yutov, Yu. A. Klokov and A. P. Mikhailov, Some problems for an ordinary differential equation arising in gas dynamics, Differential Equations, 26 (1990), 803-805.
[2] R. Bellman, Stability Theory of Differential Equations, McGraw-Hill, New York, 1953, Reprint: Dover, New York, 1969.
[3] A. J. Callegari and M. B. Friedman, An analytical solution of a nonlinear singular boundary value problem in the theory of viscous fields, J. Math. Anal. Appl., 21 (1968), 510-529.
[4] A. J. Callegari and A. Nachman, Some singular, nonlinear differential equations arising in boundary layer theory, J. Math. Anal. Appl., 64 (1978), 96-105.
[5] A. J. Callegari and A. Nachman, A nonlinear singular boundary value problem in the theory of pseudoplastic fluids, SIAM J. Appl. Math., 38 (1980), 275-281.
[6] T. A. Chanturiya, On the asymptotic representation of the solutions of the equation u″=a(t)|u|ⁿ sign u, Differential Equations, 8 (1972), 914-923.
[7] M. A. Demidov, Yu. A. Klokov and A. P. Mikhailov, On some singular problems for second-order ordinary differential equations, Differentsial'nye Uravneniya, 23 (1987), 1278-1282.
[8] T. Kusano and C. A. Swanson, Asymptotic theory of singular semilinear elliptic equations, Canad. Math. Bull., 27 (1984), 223-232.
[9] H. Usami, On positive decaying solutions of singular Emden-Fowler type equations, Nonlinear Anal., 16 (1991), 795-803.
[10] H. Usami, Positive solutions of singular Emden-Fowler type systems, Hiroshima Math. J., 22 (1992), 421-431.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!