Positive solutions of superlinear boundary value problems with singular indefinite weight
(2003) Communications on Pure and Applied Analysis — Vol. 2, n° 3, p. 411-423 (2003)
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- Abstract
- In the present paper, we propose a method to deal with non-ordered lower and upper solutions in the case of ODE's with singular coefficients. As an application, we study the existence of positive solutions for a two-point boundary value problem on]0, 1[ associated to the equation u" + a(t)g(u) = 0, where the function g : R+ --> R+ is continuous with superlinear growth at infinity and the weight a(t) changes sign as well as it may present some singularities at t = 0 or t = 1.
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Gaudenzi, M., Habets, P., & Zanolin, F. (2003). Positive solutions of superlinear boundary value problems with singular indefinite weight. Communications on Pure and Applied Analysis, 2(3), 411-423. https://doi.org/10.3934/cpaa.2003.2.411 (Original work published 2003)