Global Kneser solutions to nonlinear equations with indefinite weight
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Discrete and Continuous Dynamical Systems-Series B |
| MU Faculty or unit | |
| 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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