Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation ℒy(t)+f(t)yβ(σ(t))=0{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0 where ℒy(t) = (b(t)(a(t)(y0(t)) )0)0 is a semi-canonical differential operator. The main id...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2021-11-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2020-0135 |
| _version_ | 1819290375435583488 |
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| author | Saranya K. Piramanantham V. Thandapani E. |
| author_facet | Saranya K. Piramanantham V. Thandapani E. |
| author_sort | Saranya K. |
| collection | DOAJ |
| description | The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation
ℒy(t)+f(t)yβ(σ(t))=0{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0
where ℒy(t) = (b(t)(a(t)(y0(t)) )0)0 is a semi-canonical differential operator. The main idea is to transform the semi-canonical operator into canonical form and then obtain new oscillation results for the studied equation. Examples are provided to illustrate the importance of the main results. |
| first_indexed | 2024-12-24T03:21:45Z |
| format | Article |
| id | doaj.art-11d05cd83e444c2980c8870cdf52e242 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-12-24T03:21:45Z |
| publishDate | 2021-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-11d05cd83e444c2980c8870cdf52e2422022-12-21T17:17:28ZengDe GruyterNonautonomous Dynamical Systems2353-06262021-11-018122823810.1515/msds-2020-0135Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential EquationsSaranya K.0Piramanantham V.1Thandapani E.2Department of Mathematics, Bharathidasan University, Tiruchirappalli-620024, IndiaDepartment of Mathematics, Bharathidasan University, Tiruchirappalli-620024, IndiaRamanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai-600005, IndiaThe main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation ℒy(t)+f(t)yβ(σ(t))=0{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0 where ℒy(t) = (b(t)(a(t)(y0(t)) )0)0 is a semi-canonical differential operator. The main idea is to transform the semi-canonical operator into canonical form and then obtain new oscillation results for the studied equation. Examples are provided to illustrate the importance of the main results.https://doi.org/10.1515/msds-2020-0135semi- canonicalthird-orderdelay differential equationsoscillation34c1034k11 |
| spellingShingle | Saranya K. Piramanantham V. Thandapani E. Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations Nonautonomous Dynamical Systems semi- canonical third-order delay differential equations oscillation 34c10 34k11 |
| title | Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations |
| title_full | Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations |
| title_fullStr | Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations |
| title_full_unstemmed | Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations |
| title_short | Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations |
| title_sort | oscillation results for third order semi canonical quasi linear delay differential equations |
| topic | semi- canonical third-order delay differential equations oscillation 34c10 34k11 |
| url | https://doi.org/10.1515/msds-2020-0135 |
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