A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems

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Abstract

Under certain assumptions on the nonlinear–nonhomogenous term f(t,u(t)) of ordinary differential equations associated with fourth order singular boundary value problems, we establish a necessary and sufficient condition for the existence of positive solutions of the boundary value problem by means of fixed point theorems.

MSC

34B15
34B25

Keywords

Singular boundary value problems
Positive solutions
Fixed point theorems

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