POSITIVE SOLUTIONS OF SINGULAR BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE EQUATIONS

Yan SUN;Ben Long XU;Li Shan Liu

Journal of Systems Science and Mathematical Sciences ›› 2005, Vol. 25 ›› Issue (1) : 69-077.

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Journal of Systems Science and Mathematical Sciences ›› 2005, Vol. 25 ›› Issue (1) : 69-077. DOI: 10.12341/jssms10010
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POSITIVE SOLUTIONS OF SINGULAR BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE EQUATIONS

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Abstract

Applying the fixed point index theory, the existence of positive solutions is established for singular Sturm-Liouville boundary value problems of the form (p(t)u′(t))′+g(t)F(t,u)=0 with certain general boundary value conditions.

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Cone / fixed point index / singular boundary value problem / positive solution.

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Yan SUN , Ben Long XU , Li Shan Liu. POSITIVE SOLUTIONS OF SINGULAR BOUNDARY VALUE PROBLEMS FOR STURM-LIOUVILLE EQUATIONS. Journal of Systems Science and Mathematical Sciences, 2005, 25(1): 69-077 https://doi.org/10.12341/jssms10010
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