Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms
In this article, we have derived a new method to study the oscillatory and asymptotic properties for third-order noncanonical functional differential equations with both positive and negative terms of the form $ \begin{equation*} (p_2 (t)(p_1 (t) x'(t) )')'+a(t)g(x(\tau(t)))-b(t)h(...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023724?viewType=HTML |
| _version_ | 1797840680406482944 |
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| author | S. Sangeetha S. K. Thamilvanan S. S. Santra S. Noeiaghdam M. Abdollahzadeh |
| author_facet | S. Sangeetha S. K. Thamilvanan S. S. Santra S. Noeiaghdam M. Abdollahzadeh |
| author_sort | S. Sangeetha |
| collection | DOAJ |
| description | In this article, we have derived a new method to study the oscillatory and asymptotic properties for third-order noncanonical functional differential equations with both positive and negative terms of the form
$ \begin{equation*} (p_2 (t)(p_1 (t) x'(t) )')'+a(t)g(x(\tau(t)))-b(t)h(x(\sigma(t)) = 0 \end{equation*} $
Firstly, we have converted the above equation of noncanonical type into the canonical type using the strongly noncanonical operator and obtained some new conditions for Property $ \bar{A} $. We furnished illustrative examples to validate our main result. |
| first_indexed | 2024-04-09T16:18:41Z |
| format | Article |
| id | doaj.art-dd1f85d99edb4251ba27edb569a1db47 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T16:18:41Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-dd1f85d99edb4251ba27edb569a1db472023-04-24T01:17:31ZengAIMS PressAIMS Mathematics2473-69882023-04-0186141671417910.3934/math.2023724Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative termsS. Sangeetha0S. K. Thamilvanan1S. S. Santra2S. Noeiaghdam3M. Abdollahzadeh41. Department of Mathematics, SRM University, Kattankulathur 603203, Tamilnadu, India1. Department of Mathematics, SRM University, Kattankulathur 603203, Tamilnadu, India2. Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India 3. Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India4. Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk 454080, Russia5. School of Information Technology and Data Science, Irkutsk National Research Technical University, Irkutsk 664074, RussiaIn this article, we have derived a new method to study the oscillatory and asymptotic properties for third-order noncanonical functional differential equations with both positive and negative terms of the form $ \begin{equation*} (p_2 (t)(p_1 (t) x'(t) )')'+a(t)g(x(\tau(t)))-b(t)h(x(\sigma(t)) = 0 \end{equation*} $ Firstly, we have converted the above equation of noncanonical type into the canonical type using the strongly noncanonical operator and obtained some new conditions for Property $ \bar{A} $. We furnished illustrative examples to validate our main result.https://www.aimspress.com/article/doi/10.3934/math.2023724?viewType=HTMLproperty $ \bar{a} $third-ordernoncanonicaldelay argument |
| spellingShingle | S. Sangeetha S. K. Thamilvanan S. S. Santra S. Noeiaghdam M. Abdollahzadeh Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms AIMS Mathematics property $ \bar{a} $ third-order noncanonical delay argument |
| title | Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms |
| title_full | Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms |
| title_fullStr | Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms |
| title_full_unstemmed | Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms |
| title_short | Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms |
| title_sort | property bar a of third order noncanonical functional differential equations with positive and negative terms |
| topic | property $ \bar{a} $ third-order noncanonical delay argument |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023724?viewType=HTML |
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