Abstract
New results on the existence of multiple positive solutions of a Hammerstein integral equation of the form z(t)=∫ Gk(t,s)f(s,z(s)) ds≡Az(t) are obtained, where f may have singularities in its first or second variable. These results generalize some previous results obtained by the author. Applications of these results are given to the existence of multiple positive solutions for singular first or second order differential equations with periodic boundary conditions. These results are often new and some of them improve many known results.
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