Positive solution of singular boundary value problems on a half-line

被引：9

作者：

Wei Z.-L. ^{[1
]}

Chen S.-Z. ^{[2
]}

机构：

[1] Department of Mathematics and Physics, Shandong Institute of Architectural and Engineering, Jinan

[2] Department of Mathematics, Shandong University at Weihai, Weihai

来源：

Acta Mathematicae Applicatae Sinica | 2005年 / 21卷 / 4期

关键词：

Lower and upper solutions; Positive solution; Singular boundary value problem on a half-line;

D O I：

10.1007/s10255-005-0264-5

中图分类号：

学科分类号：

摘要：

This paper investigates existence of positive solutions of singular sub-linear boundary value problems on a half-line. Necessary and sufficient conditions for the existence of positive continuous solutions or smooth solutions on [0, ∞) are given by constructing new lower and upper solutions. © Springer-Verlag 2005.

引用

页码：553 / 564

页数：11

共 10 条

[1]

Chen S., Zhang Y., Singular boundary value problems on a half-line, J. Math. Anal. Appl., 195, 2, pp. 449-468, (1995)

[2]

Baxley J.V., Existence and uniqueness for nonlinear boundary value problems on infinite intervals, J. Math. Anal. Appl., 147, pp. 122-133, (1990)

[3]

Bernfeld S.R., Lakshmikantham V., An introduction to nonlinear boundary value problems, Math. Sci. Eng., 109, (1974)

[4]

Bobisud L.E., Existence of positive solutions to some nonlinear singular boundary value problems on finite and infinite intervals, J. Math. Anal. Appl., 173, pp. 69-83, (1993)

[5]

Granas A., Guerther R.B., Lee J.W., O'Regan D., Boundary value problems on infinite intervals and semiconductor devices, J. Math. Anal. Appl., 116, pp. 335-348, (1986)

[6]

Hartman P., Ordinary Differential Equations, 2nd Ed., (1982)

[7]

Luning C.D., Perry W.L., Positive solutions of negative exponent generalized Emden-Fowler boundary value problems, SIAM J. Math. Anal., 12, pp. 874-879, (1981)

[8]

Taliaferro S.D., A nonlinear singular boundary value problem, Nonlinear Anal. TMA, 3, pp. 897-904, (1979)

[9]

Wong J.S., On the generalized Emden-Fowler equations, SIAM Rev., 17, pp. 339-360, (1975)

[10]

Zhang Y., Positive solutions of singular sublinear Emden-Fowler boundary value problems, J. Math. Anal. Appl., 185, pp. 215-222, (1994)

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