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Positive solutions of singular boundary value problem of negative exponent Emden—Fowler equation

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Abstract

This paper investigates the existence of positive solutions of a singular boundary value problem with negative exponent similar to standard Emden-Fowler equation. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as well as C1[0, 1] positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.

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References

  1. Fink A M, Gatica J A, Hernandez G E and Waltman P, Approximation of solutions of singular second order boundary value problems,SIAM J. Math. Anal. 22 (1991) 440–462

    Article  MATH  MathSciNet  Google Scholar 

  2. Guo Dajun, Nonlinear functional analysis [M] (Jinan: Shangdong Scientific andTechnical Publishers) (in Chinese)

  3. Hartman P, Ordinary differential equations, 2nd ed. (1982) (Boston: Birkhauser)

    MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  5. Mao Anmin, Positive solutions of singular boundary value problems of positive exponent superlinear Emden-Fowler equations,Acta Math. Sinica 43 (2000) 623–632

    MATH  Google Scholar 

  6. Taliaferro S D, A nonlinear singular boundary value problems,Nonl. Anal. TMA 3 (1979) 897–904

    Article  MATH  MathSciNet  Google Scholar 

  7. Wang J S, On the generalized Emden-Fowler eqution,SIAM Rev. 17 (1975) 339–361

    Article  MathSciNet  Google Scholar 

  8. Zhang Y, Positive solutions of singular sublinear Emden-Fowler boundary value problems,J. Math. Anal. Appl. 185(1) (1994) 215–222

    Article  MATH  MathSciNet  Google Scholar 

  9. Zhongli Wei, Positive solutions of singular boundary value problems of Emden-Fowler equations,J. Ann. Math. 41(3) (1998) 656–662

    Google Scholar 

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Authors and Affiliations

  1. Department of Statistics, Shandong Economic University, Jinan, 250 014, Shandong, People’s Republic of China

    Yuxia Wang & Xiyu Liu

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  1. Yuxia Wang
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  2. Xiyu Liu
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Wang, Y., Liu, X. Positive solutions of singular boundary value problem of negative exponent Emden—Fowler equation. Proc. Indian Acad. Sci. (Math. Sci.) 113, 195–205 (2003). https://doi.org/10.1007/BF02829770

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  • DOI: https://doi.org/10.1007/BF02829770

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