Asymptotic Properties of Third-Order Delay Trinomial Differential Equations
The aim of this paper is to study properties of the third-order delay trinomial differential equation ((1/r(t))y′′(t))′+p(t)y′(t)+q(t)y(σ(t))=0, by transforming this equation onto the second-/third-order binomial differential equation. Using suitable comparison theorems, we establish new results on...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/730128 |
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| author | J. Džurina R. Komariková |
| author_facet | J. Džurina R. Komariková |
| author_sort | J. Džurina |
| collection | DOAJ |
| description | The aim of this paper is to study properties of the third-order
delay trinomial differential equation ((1/r(t))y′′(t))′+p(t)y′(t)+q(t)y(σ(t))=0, by transforming this equation onto the second-/third-order binomial differential equation. Using suitable comparison theorems, we establish new results on asymptotic behavior of solutions of the studied equations. Obtained criteria improve and generalize earlier ones. |
| format | Article |
| id | doaj-art-72f47997948e4542bff2724dd04915c7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-72f47997948e4542bff2724dd04915c72025-02-03T05:54:15ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/730128730128Asymptotic Properties of Third-Order Delay Trinomial Differential EquationsJ. Džurina0R. Komariková1Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaDepartment of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaThe aim of this paper is to study properties of the third-order delay trinomial differential equation ((1/r(t))y′′(t))′+p(t)y′(t)+q(t)y(σ(t))=0, by transforming this equation onto the second-/third-order binomial differential equation. Using suitable comparison theorems, we establish new results on asymptotic behavior of solutions of the studied equations. Obtained criteria improve and generalize earlier ones.http://dx.doi.org/10.1155/2011/730128 |
| spellingShingle | J. Džurina R. Komariková Asymptotic Properties of Third-Order Delay Trinomial Differential Equations Abstract and Applied Analysis |
| title | Asymptotic Properties of Third-Order Delay Trinomial Differential Equations |
| title_full | Asymptotic Properties of Third-Order Delay Trinomial Differential Equations |
| title_fullStr | Asymptotic Properties of Third-Order Delay Trinomial Differential Equations |
| title_full_unstemmed | Asymptotic Properties of Third-Order Delay Trinomial Differential Equations |
| title_short | Asymptotic Properties of Third-Order Delay Trinomial Differential Equations |
| title_sort | asymptotic properties of third order delay trinomial differential equations |
| url | http://dx.doi.org/10.1155/2011/730128 |
| work_keys_str_mv | AT jdzurina asymptoticpropertiesofthirdorderdelaytrinomialdifferentialequations AT rkomarikova asymptoticpropertiesofthirdorderdelaytrinomialdifferentialequations |