Second order neutral delay differential equations and their oscillatory criteria derived by linearization
In this paper, we investigate the oscillatory behavior of second-order neutral delay differential equations with a canonical operator of the form a(x) v (x) �m + C(x, u(φ(x))) = 0. We introduce new monotonicity properties of the non-oscillatory solutions of these equations, which are then used to li...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - másodrendű - semleges késleltetésű, Oszcilláció |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.45 |
| Online Access: | http://acta.bibl.u-szeged.hu/88925 |
| Tartalmi kivonat: | In this paper, we investigate the oscillatory behavior of second-order neutral delay differential equations with a canonical operator of the form a(x) v (x) �m + C(x, u(φ(x))) = 0. We introduce new monotonicity properties of the non-oscillatory solutions of these equations, which are then used to linearize the equations and derive new oscillatory criteria. The presented results significantly improve upon existing criteria. |
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| Terjedelem/Fizikai jellemzők: | 10 |
| ISSN: | 1417-3875 |