| DOŠLÁ, Zuzana, Mauro MARINI and Serena MATUCCI. A Dirichlet problem on the half-line for nonlinear equations with indefinite weight. Annali di Matematica Pura ed Applicata. Německo: Springer, 2017, vol. 196, No 1, p. 51-64. ISSN 0373-3114. Available from: https://dx.doi.org/10.1007/s10231-016-0562-y. |
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@article{1411781,
author = {Došlá, Zuzana and Marini, Mauro and Matucci, Serena},
article_location = {Německo},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s10231-016-0562-y},
keywords = {Second order nonlinear differential equation; boundary value problem on the half line; Dirichlet conditions; globally positive solution; disconjugacy; principal solution.},
language = {eng},
issn = {0373-3114},
journal = {Annali di Matematica Pura ed Applicata},
title = {A Dirichlet problem on the half-line for nonlinear equations with indefinite weight},
volume = {196},
year = {2017}
}
TY - JOUR
ID - 1411781
AU - Došlá, Zuzana - Marini, Mauro - Matucci, Serena
PY - 2017
TI - A Dirichlet problem on the half-line for nonlinear equations with indefinite weight
JF - Annali di Matematica Pura ed Applicata
VL - 196
IS - 1
SP - 51-64
EP - 51-64
PB - Springer
SN - 03733114
KW - Second order nonlinear differential equation
KW - boundary value problem on the half line
KW - Dirichlet conditions
KW - globally positive solution
KW - disconjugacy
KW - principal solution.
N2 - We study the existence of positive solutions on the half-line for the nonlinear second order differential equation satisfying Dirichlet type conditions. The weight function is allowed to change sign and the nonlinearity is assumed to be asymptotically linear in a neighborhood of zero and infinity. Our results cover also the cases in which the weight function is periodic or it is unbounded from below.
ER -
DOŠLÁ, Zuzana, Mauro MARINI and Serena MATUCCI. A Dirichlet problem on the half-line for nonlinear equations with indefinite weight. \textit{Annali di Matematica Pura ed Applicata}. Německo: Springer, 2017, vol.~196, No~1, p.~51-64. ISSN~0373-3114. Available from: https://dx.doi.org/10.1007/s10231-016-0562-y.
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