Examining the oscillatory behavior of fourth-order neutral di¤erential equations | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 33, Issue 1, 2025, Pages 99-112 PDF (1.23 M) | ||
| Document Type: Research | ||
| DOI: 10.21608/joems.2025.410542.1056 | ||
| Author | ||
| Mona Anis* | ||
| Department of mathematics, facility of science | ||
| Abstract | ||
| In this paper, we establish several criteria for examining the oscillatory properties of solutions to a class of fourth-order neutral di¤erential equations. Using the principle of comparison, we obtain su¢ cient conditions for oscillation based on some new monotonic properties. Furthermore, the Euler di¤erential equation yields a sharp result when using some of the new criteria. To assess the e¢ cacy of the new criteria, we compare them with previous studies to highlight the di¤erences In this paper, we establish several criteria for examining the oscillatory properties of solutions to a class of fourth-order neutral di¤erential equations. Using the principle of comparison, we obtain su¢ cient conditions for oscillation based on some new monotonic properties. Furthermore, the Euler di¤erential equation yields a sharp result when using some of the new criteria. To assess the e¢ cacy of the new criteria, we compare them with previous studies to highlight the di¤erences | ||
| Keywords | ||
| Oscillation; delay di¤erential equation; neutral delay | ||
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