On the existence of positive solutions of ordinary differential equations

Erbe, L. H.; Wang, Haiyan

doi:10.1090/S0002-9939-1994-1204373-9

On the existence of positive solutions of ordinary differential equations
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by L. H. Erbe and Haiyan Wang

Proc. Amer. Math. Soc. 120 (1994), 743-748

DOI: https://doi.org/10.1090/S0002-9939-1994-1204373-9

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Abstract:

We study the existence of positive solutions of the equation ${u^{''}} + a(t)f(u) = 0$ with linear boundary conditions. We show the existence of at least one positive solution if $f$ is either superlinear or sublinear by a simple application of a Fixed Point Theorem in cones.

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