DOŠLÁ, Zuzana, Mauro MARINI a Serena MATUCCI. A Dirichlet problem on the half-line for nonlinear equations with indefinite weight. Annali di Matematica Pura ed Applicata. Německo: Springer, 2017, roč. 196, č. 1, s. 51-64. ISSN 0373-3114. Dostupné z: 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 a 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, roč.~196, č.~1, s.~51-64. ISSN~0373-3114. Dostupné z: https://dx.doi.org/10.1007/s10231-016-0562-y.
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