A Dirichlet problem on the half-line for nonlinear equations with indefinite weight

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Authors	DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena
Year of publication	2017
Type	Article in Periodical
Magazine / Source	Annali di Matematica Pura ed Applicata
MU Faculty or unit	Faculty of Science
Citation
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.
Description	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.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace