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Positive Solution of Singular Boundary Value Problems on a Half-Line 被引量：9

Positive Solution of Singular Boundary Value Problems on a Half-Line
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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. 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.
作者 Zhong-li Wei Shao-zhu Chen
机构地区 Department of Mathematics and Physics Department of Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第4期553-564,共12页 应用数学学报（英文版）
关键词 Singular boundary value problem on a half-line positive solution lower and upper solutions Singular boundary value problem on a half-line, positive solution, lower and upper solutions
分类号 O175.8 [理学—基础数学]
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参考文献10

  • 1Chen, Shaozhu, Zhang, Yong. Singular boundary value problems on a half-line, d. Math. Anal. AppI.,195(2): 449-468 (1995).
  • 2Bax]ey, J.V. Existence and uniqueness for nonlinear boundary value problems on infinite intervals. J.Math. Anal. Appl., 147:122-133 (1990).
  • 3Bernfeld, S.R., Lakshmikantham, V. An Introduction to Nonlinear Boundary Value Problems. Math. Sci.Eng., Vol.109, Academic Press, New York, London, 1974.
  • 4Bobisud, L.E. Existence of positive solutions to some nonlinear singular boundary value problems on finite and infinite intervals. J. Math. Anal. Appl., 173:69-83 (1993).
  • 5Granas, A., Guerther, R.B., Lee, J.W., O'Regan, D. Boundary value problems on infinite intervals and semiconductor devices. J. Math. Anal AppL, 116:335-348 (1986).
  • 6Hartman, P. Ordinary Differential Equations, 2nd Ed., Birkhauser, Boston, 1982.
  • 7Luning, C.D., Perry, W.L. Positive solutions of negative exponent generalized Emden-Fowler boundary value problems. SIAM J. Math. Anal., 12:874-879 (1981).
  • 8Taliaferro, S.D. A nonlinear singular boundary value problem. Nonlinear Anal. TMA. 3:897-904 (1979).
  • 9Wong, J.S. On the generalized Emden-Fowler equations. SIAM Rev., 17:339-360 (1975).
  • 10Zhang, Y. Positive solutions of singular sublinear Emden-Fowler boundary value problems. J. Math. Anal.Appl., 185:2150222 (1994).

同被引文献14

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Acta Mathematicae Applicatae Sinica
2005年 第4期

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