Publication details

Global Kneser solutions to nonlinear equations with indefinite weight

Authors

DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena

Year of publication 2018
Type Article in Periodical
Magazine / Source Discrete and Continuous Dynamical Systems-Series B
MU Faculty or unit

Faculty of Science

Citation
Web http://www.aimsciences.org/article/doi/10.3934/dcdsb.2018252
Doi http://dx.doi.org/10.3934/dcdsb.2018252
Keywords Second order nonlinear differential equations; boundary value problems on infinite intervals; global positive solutions; half-linear equations; disconjugacy; principal solution.
Attached files
Description The paper deals with the second order nonlinear differential equation in the case when the weight has indefinite sign. In particular, the problem of the existence of the so-called globally positive Kneser solutions on the whole half-line is considered. Moreover, conditions assuring that these solutions tend to zero are investigated by a Schauder's half-linearization device jointly with some properties of the principal solution of an associated half-linear differential equation. The results cover also the case in which the weight is a periodic function or it is unbounded from below.
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