Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations
In this paper, the existence of nonoscillatory solutions for a class of higher-order nonlinear differential equations is investigated. Notably, the equations are of mixed neutral type with a forcing term, which distinguished the equations in this paper from the existing ones and made the qualitative...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024033 |
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| author | Hui Li Nana Jin Yu Zhang |
| author_facet | Hui Li Nana Jin Yu Zhang |
| author_sort | Hui Li |
| collection | DOAJ |
| description | In this paper, the existence of nonoscillatory solutions for a class of higher-order nonlinear differential equations is investigated. Notably, the equations are of mixed neutral type with a forcing term, which distinguished the equations in this paper from the existing ones and made the qualitative analysis of the solution more complicated. By means of the Schauder-Tychonoff fixed point theorem and inequality techniques, some new sufficient conditions for the existence of nonoscillatory solutions were established. The results in this paper improved and generalized some known results in the existing works. Finally, an example was given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-4a22165052264c758209931a47301e5e |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-4a22165052264c758209931a47301e5e2025-01-24T01:02:16ZengAIMS PressMathematical Modelling and Control2767-89462024-11-014441742310.3934/mmc.2024033Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equationsHui Li0Nana Jin1Yu Zhang2School of Mathematical Sciences, University of Ji'nan, Ji'nan 250022, ChinaSchool of Mathematical Sciences, University of Ji'nan, Ji'nan 250022, ChinaSchool of Mathematical Sciences, University of Ji'nan, Ji'nan 250022, ChinaIn this paper, the existence of nonoscillatory solutions for a class of higher-order nonlinear differential equations is investigated. Notably, the equations are of mixed neutral type with a forcing term, which distinguished the equations in this paper from the existing ones and made the qualitative analysis of the solution more complicated. By means of the Schauder-Tychonoff fixed point theorem and inequality techniques, some new sufficient conditions for the existence of nonoscillatory solutions were established. The results in this paper improved and generalized some known results in the existing works. Finally, an example was given to illustrate the effectiveness of the proposed method.https://www.aimspress.com/article/doi/10.3934/mmc.2024033nonoscillatory solutionsneutralmixed differential equationsnonlinear analysis |
| spellingShingle | Hui Li Nana Jin Yu Zhang Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations Mathematical Modelling and Control nonoscillatory solutions neutral mixed differential equations nonlinear analysis |
| title | Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations |
| title_full | Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations |
| title_fullStr | Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations |
| title_full_unstemmed | Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations |
| title_short | Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations |
| title_sort | existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations |
| topic | nonoscillatory solutions neutral mixed differential equations nonlinear analysis |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024033 |
| work_keys_str_mv | AT huili existenceofnonoscillatorysolutionsforhigherordernonlinearmixedneutraldifferentialequations AT nanajin existenceofnonoscillatorysolutionsforhigherordernonlinearmixedneutraldifferentialequations AT yuzhang existenceofnonoscillatorysolutionsforhigherordernonlinearmixedneutraldifferentialequations |