Jaroš Jaroslav: Reduction of order in the oscillation theory of half-linear differential equations. (2020)
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Abstract
Oscillation of solutions of even order half-linear differential equations of the form D(αn, . . . , α1)x + q(t)|x| sgn x = 0, t ≥ a > 0, (1.1) where αi , 1 ≤ i ≤ n, and β are positive constants, q is a continuous function from [a, ∞) to (0, ∞) and the differential operator D(αn, . . . , α1) is defined by D(α1)x = d dt |x| α1 sgn x and D(αi , . . . , α1)x = d dt |D(αi−1 , . . . , α1)x| αi sgn D(αi−1 , . . . , α1)x , i = 2, . . . , n, is proved in the case where α1 · · · αn = β through reduction to the problem of oscillation of solutions of some lower order differential equations associated with (1.1)
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 37 |
| ISSN: | 1417-3875 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 10-11. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jun. 08. 09:07 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69541 |
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