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

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

2003-10-18

arxiv.org/abs/math/0310294v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 2, May 2003, pp. 195-205

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

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 $C^{1}[0,1]$ positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.

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