Reduction of order in the oscillation theory of half-linear differential equations
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 de...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Online Access: | http://acta.bibl.u-szeged.hu/69541 |
| Tartalmi kivonat: | 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) |
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| ISSN: | 1417-3875 |