Disconjugacy and disfocality criteria for second order singular half-linear differential equations

Došlý, Ondřej; Lomtatidze, Alexander

Annales Polonici Mathematici, Tome 72 (1999), p. 273-284 / Harvested from The Polish Digital Mathematics Library

Résumé

We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation $u^{''} = {p (t) | u |}^{α} {| u^{'} |}^{1 - α} s g n u + g (t) u^{'}$ , where α ∈ (0,1] and the functions $p, g \in L_{l o c} (a, b)$ are allowed to have singularities at the end points t = a, t = b of the interval under consideration.

Publié le : 1999-01-01

Zbl 1006.34027

EUDML-ID : urn:eudml:doc:262647

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     title = {Disconjugacy and disfocality criteria for second order singular half-linear differential equations},
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Došlý, Ondřej; Lomtatidze, Alexander. Disconjugacy and disfocality criteria for second order singular half-linear differential equations. Annales Polonici Mathematici, Tome 72 (1999) pp. 273-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z3p273bwm/

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