Abstract
This article focuses on the oscillation and asymptotic behavior of the third-order neutral differential equation with damping and distributed deviating arguments. Some new sufficient conditions for the discussed equation are established by using a generalized Riccati transformation, which extend and improve several known results in the literature. Finally, two examples are given to illustrate the obtained results.
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This research is supported by the National Natural Science Foundation of China (Grant No. 61803176 and 61703180).
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Sun, Y., Zhao, Y. & Xie, Q. Oscillation and Asymptotic Behavior of the Third-Order Neutral Differential Equation with Damping and Distributed Deviating Arguments. Qual. Theory Dyn. Syst. 22, 50 (2023). https://doi.org/10.1007/s12346-022-00733-4
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DOI: https://doi.org/10.1007/s12346-022-00733-4
Keywords
- Oscillation
- Damping term
- Distributed deviating arguments
- Third-order neutral differential equation
- Riccati transformation