Abstract
Special disconjugacy tests of the de la Vallee Poussin type for a closed interval $[\alpha ,\beta ]$, which need not be bounded, are derived for linear differential equations with continuous coefficients on the open interval $(\alpha ,\beta )$. The method applies, in general, to linear perturbations of disconjugate linear equations. The results include a precise first-term asymptotic description at both $\alpha $ and $\beta $ of a fundamental system of solutions.
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