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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Mathematical Institute, Czech Academy of Sciences, Žižkova 22, CZ-616 62 Brno, Czech Republic
  2. Department of Mathematics, Masaryk University, Janáčkovo nám. 2a, CZ-662 95 Brno, Czech Republic

Abstract

We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation u′′=p(t)|u|α|u′|1-αsgnu+g(t)u′, where α ∈ (0,1] and the functions p,g∈Lloc(a,b) are allowed to have singularities at the end points t = a, t = b of the interval under consideration.

Keywords

ENG
Vallée Poussin type criterion, half-linear equation, disfocality, disconjugacy

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Annales Polonici Mathematici
1999/72/3
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Pages:
273-284
Main language of publication
English
Received
1999-05-12
Published
1999
Exact and natural sciences