Integral Oscillation Criteria for Second-Order Linear Neutral Delay Dynamic Equations on Time Scales
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Bibliographic record
Abstract
In this paper we present several sufficient conditions foroscillation of the second-order linear neutral delay dynamicequation\begin{eqnarray}(y(t)+p(t)y(t-\tau))^{\Delta\Delta}+q(t)y(t-\delta)=0 \nonumber\end{eqnarray}on a time scale $\mathbb{T}$. Here $p(t) , q(t)$ are\textit{rd}-continuous functions defined on on a time scale$\mathbb{T}$. Our results as a special case when $\mathbb{T=R}$ and$\mathbb{T=N}$ improve some well-known oscillation results forsecond-order neutral delay differential and difference equations.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.005 | 0.007 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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