A study on the oscillation of second-order neutral differential equations in noncanonical form
This paper analyzes the oscillation of the second-order neutral differential equation in noncanonical form h r(t) (x(t) + p(t)x(π(t))) i′ + k(t)x (η(t)) = 0. Using a combination of the linearization technique and the monotonicity properties of the neutral term, we derive new conditions for the studi...
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, Oszcilláció |
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| doi: | 10.14232/ejqtde.2025.1.43 |
| Online Access: | http://acta.bibl.u-szeged.hu/88923 |
| Tartalmi kivonat: | This paper analyzes the oscillation of the second-order neutral differential equation in noncanonical form h r(t) (x(t) + p(t)x(π(t))) i′ + k(t)x (η(t)) = 0. Using a combination of the linearization technique and the monotonicity properties of the neutral term, we derive new conditions for the studied equation to be oscillatory. Our findings provide new results applicable to linear, sublinear, superlinear, half-linear and other nonlinear forms of the studied equation, and moreover, for all these cases, the oscillation of the studied equation is attained via only one condition. Further, we illustrate the significance of our results with various examples, highlighting their superiority over known criteria in the existing literature. |
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| Terjedelem/Fizikai jellemzők: | 20 |
| ISSN: | 1417-3875 |