Asymptotic problems for functional differential equations via linearization method
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Periodical |
| Magazine / Source | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s11784-018-0642-2 |
| Doi | http://dx.doi.org/10.1007/s11784-018-0642-2 |
| Keywords | Second order nonlinear differential equation; Kneser solution; zero-decaying solution; super-linear equation; sub-linear equation |
| Description | We study the existence of positive decreasing solutions (the so-called Kneser solutions) for a class of second-order functional differential equations with a damping term. A linearization approach based on a general fixed point theorem is used to achieve this goal. The existence of zero-decaying Kneser solutions is also proved. Finally, the role of the deviating argument to the asymptotic behavior of solutions is illustrated together with some discrepancies between equations with or without delay. |
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