Baculíková Blanka: New monotonicity properties and oscillation of n-order functional differential equations with deviating argument. (2023)
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Abstract
In this paper, we offer new technique for investigation of the even order linear differential equations of the form y (n) (t) = p(t)y(τ(t)). (E) We establish new criteria for bounded and unbounded oscillation of (E) which improve a number of related ones in the literature. Our approach essentially involves establishing stronger monotonicities for the positive solutions of (E) than those presented in known works. We illustrate the improvement over known results by applying and comparing our technique with the other known methods on the particular examples.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 30 |
| ISSN: | 1417-3875 |
| Number of Pages: | 10 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.30 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 9-10. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 13:42 |
| Last Modified: | 2023. Nov. 16. 13:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82280 |
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