On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients
In this work, we study the oscillation problem of first-order differential equations with deviating arguments and oscillatory coefficients. We generalize and improve the work of Kwong [30] such that the delay (advanced) and the coefficient functions do not need to be monotone and nonnegative, respec...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023341?viewType=HTML |
| _version_ | 1811176164406853632 |
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| author | Emad R. Attia George E. Chatzarakis |
| author_facet | Emad R. Attia George E. Chatzarakis |
| author_sort | Emad R. Attia |
| collection | DOAJ |
| description | In this work, we study the oscillation problem of first-order differential equations with deviating arguments and oscillatory coefficients. We generalize and improve the work of Kwong [30] such that the delay (advanced) and the coefficient functions do not need to be monotone and nonnegative, respectively. This method essentially improves many known oscillation conditions. The significance and the substantial improvement of our results are shown by two illustrative examples. |
| first_indexed | 2024-04-10T19:47:47Z |
| format | Article |
| id | doaj.art-cede6b3fb6874939822c834cb8502f53 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T19:47:47Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-cede6b3fb6874939822c834cb8502f532023-01-29T02:30:21ZengAIMS PressAIMS Mathematics2473-69882023-01-01836725673610.3934/math.2023341On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficientsEmad R. Attia0George E. Chatzarakis11. Department of Mathematics, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia 2. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt3. Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, GreeceIn this work, we study the oscillation problem of first-order differential equations with deviating arguments and oscillatory coefficients. We generalize and improve the work of Kwong [30] such that the delay (advanced) and the coefficient functions do not need to be monotone and nonnegative, respectively. This method essentially improves many known oscillation conditions. The significance and the substantial improvement of our results are shown by two illustrative examples.https://www.aimspress.com/article/doi/10.3934/math.2023341?viewType=HTMLoscillationdifferential equationsnonmonotone delaysoscillatory coefficients |
| spellingShingle | Emad R. Attia George E. Chatzarakis On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients AIMS Mathematics oscillation differential equations nonmonotone delays oscillatory coefficients |
| title | On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients |
| title_full | On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients |
| title_fullStr | On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients |
| title_full_unstemmed | On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients |
| title_short | On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients |
| title_sort | on the oscillation of first order differential equations with deviating arguments and oscillatory coefficients |
| topic | oscillation differential equations nonmonotone delays oscillatory coefficients |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023341?viewType=HTML |
| work_keys_str_mv | AT emadrattia ontheoscillationoffirstorderdifferentialequationswithdeviatingargumentsandoscillatorycoefficients AT georgeechatzarakis ontheoscillationoffirstorderdifferentialequationswithdeviatingargumentsandoscillatorycoefficients |