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

Ondřej Došlý; Alexander Lomtatidze

doi:10.4064/ap-72-3-273-284

Geodesic

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

Ondřej Došlý ¹ ; Alexander Lomtatidze ¹

Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 273-284.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

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

DOI : 10.4064/ap-72-3-273-284

Keywords: Vallée Poussin type criterion, half-linear equation, disfocality, disconjugacy

Affiliations des auteurs :

Ondřej Došlý ¹ ; Alexander Lomtatidze ¹

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Ondřej Došlý; Alexander Lomtatidze. Disconjugacy and disfocality criteria for second order singular half-linear differential equations. Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 273-284. doi : 10.4064/ap-72-3-273-284. http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-273-284/

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