Řehák Pavel: Half-linear differential equations : regular variation, principal solutions, and asymptotic classes. (2023)
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Abstract
We are interested in the structure of the solution space of second-order half-linear differential equations taking into account various classifications regarding asymptotics of solutions. We focus on an exhaustive analysis of the relations among several types of classes which include the classes constructed with respect to the values of the limits of solutions and their quasiderivatives, the classes of regularly varying solutions, the classes of principal and nonprincipal solutions, and the classes of the solutions that obey certain asymptotic formulae. Many of our observations are new even in the case of linear differential equations, and we provide also the revision of existing results.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 1 |
| ISSN: | 1417-3875 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2023.1.1 |
| Uncontrolled Keywords: | Differenciálegyenlet - féllineáris |
| Additional Information: | Bibliogr.: p. 26-28. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2023. Mar. 13. 13:12 |
| Last Modified: | 2023. Mar. 13. 13:12 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/78356 |
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