Oscillation Criteria for Second-Order Neutral Delay Differential Equations with Heterogeneous Deviating Arguments and Distributed Kernels.
DOI:
https://doi.org/10.65419/albahit.v4i2.85Keywords:
Oscillation, Neutral Delay Differential Equations, Heterogeneous Deviating Arguments, Distributed Kernels, Riccati TransformationAbstract
This paper develops new oscillation criteria for second-order neutral delay differential equations with sign-changing coefficients, heterogeneous delays, and distributed kernels. Using a Riccati transformation and auxiliary analytical tools, two general oscillation theorems are established and validated through precise numerical simulations. Results confirm that oscillations persist under complex conditions, offering broad applicability in control systems, biological modeling, and neural networks.
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