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

Ondřej Došlý; Alexander Lomtatidze

Annales Polonici Mathematici (1999)

  • Volume: 72, Issue: 3, page 273-284
  • ISSN: 0066-2216

Abstract

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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 ∈ L l o c ( a , b ) are allowed to have singularities at the end points t = a, t = b of the interval under consideration.

How to cite

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Došlý, Ondřej, and Lomtatidze, Alexander. "Disconjugacy and disfocality criteria for second order singular half-linear differential equations." Annales Polonici Mathematici 72.3 (1999): 273-284. <http://eudml.org/doc/262647>.

@article{Došlý1999,
abstract = {We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation $u^\{\prime \prime \} = p(t)|u|^α |u^\{\prime \}|^\{1-α\} sgn u + g(t)u^\{\prime \}$, 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.},
author = {Došlý, Ondřej, Lomtatidze, Alexander},
journal = {Annales Polonici Mathematici},
keywords = {Vallée Poussin type criterion; half-linear equation; disfocality; disconjugacy; second order; differential equation; Vallée-Poussin-type criterion},
language = {eng},
number = {3},
pages = {273-284},
title = {Disconjugacy and disfocality criteria for second order singular half-linear differential equations},
url = {http://eudml.org/doc/262647},
volume = {72},
year = {1999},
}

TY - JOUR
AU - Došlý, Ondřej
AU - Lomtatidze, Alexander
TI - Disconjugacy and disfocality criteria for second order singular half-linear differential equations
JO - Annales Polonici Mathematici
PY - 1999
VL - 72
IS - 3
SP - 273
EP - 284
AB - We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation $u^{\prime \prime } = p(t)|u|^α |u^{\prime }|^{1-α} sgn u + g(t)u^{\prime }$, 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.
LA - eng
KW - Vallée Poussin type criterion; half-linear equation; disfocality; disconjugacy; second order; differential equation; Vallée-Poussin-type criterion
UR - http://eudml.org/doc/262647
ER -

References

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