Disconjugacy and disfocality criteria for second order singular half-linear differential equations
Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 273-284
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.
Keywords:
Vallée Poussin type criterion, half-linear equation, disfocality, disconjugacy
@article{10_4064_ap_72_3_273_284,
author = {Ond\v{r}ej Do\v{s}l\'y and Alexander Lomtatidze},
title = {Disconjugacy and disfocality criteria for second order singular half-linear differential equations},
journal = {Annales Polonici Mathematici},
pages = {273--284},
year = {1999},
volume = {72},
number = {3},
doi = {10.4064/ap-72-3-273-284},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-273-284/}
}
TY - JOUR AU - Ondřej Došlý AU - Alexander Lomtatidze TI - Disconjugacy and disfocality criteria for second order singular half-linear differential equations JO - Annales Polonici Mathematici PY - 1999 SP - 273 EP - 284 VL - 72 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-273-284/ DO - 10.4064/ap-72-3-273-284 LA - en ID - 10_4064_ap_72_3_273_284 ER -
%0 Journal Article %A Ondřej Došlý %A Alexander Lomtatidze %T Disconjugacy and disfocality criteria for second order singular half-linear differential equations %J Annales Polonici Mathematici %D 1999 %P 273-284 %V 72 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-273-284/ %R 10.4064/ap-72-3-273-284 %G en %F 10_4064_ap_72_3_273_284
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
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