Existence of positive solutions for multi-point boundary value problems.

Karna, B.; Lawrence, B.

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Nonnegative solutions of a class of second order nonlinear differential equations

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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.