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

Investor logo

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.
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:

You are running an old browser version. We recommend updating your browser to its latest version.