Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations
The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth order delay differential equations (E)(r(t)[x(n−1)(t)]γ)′+q(t)xγ(τ(t))=0. The results ob...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/951898 |
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| _version_ | 1832552603403157504 |
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| author | J. Džurina B. Baculíková |
| author_facet | J. Džurina B. Baculíková |
| author_sort | J. Džurina |
| collection | DOAJ |
| description | The aim of this paper is to offer a generalization of the Philos and
Staikos lemma. As a possible application of the lemma in the oscillation
theory, we study the asymptotic properties and oscillation of the nth order
delay differential equations (E)(r(t)[x(n−1)(t)]γ)′+q(t)xγ(τ(t))=0. The results obtained utilize also the comparison theorems. |
| format | Article |
| id | doaj-art-ee9791e103d6431280a29ead92e94871 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ee9791e103d6431280a29ead92e948712025-02-03T05:58:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/951898951898Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential EquationsJ. Džurina0B. Baculíková1Department 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 offer a generalization of the Philos and Staikos lemma. As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth order delay differential equations (E)(r(t)[x(n−1)(t)]γ)′+q(t)xγ(τ(t))=0. The results obtained utilize also the comparison theorems.http://dx.doi.org/10.1155/2012/951898 |
| spellingShingle | J. Džurina B. Baculíková Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations International Journal of Mathematics and Mathematical Sciences |
| title | Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations |
| title_full | Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations |
| title_fullStr | Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations |
| title_full_unstemmed | Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations |
| title_short | Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations |
| title_sort | oscillation and asymptotic behavior of higher order nonlinear differential equations |
| url | http://dx.doi.org/10.1155/2012/951898 |
| work_keys_str_mv | AT jdzurina oscillationandasymptoticbehaviorofhigherordernonlineardifferentialequations AT bbaculikova oscillationandasymptoticbehaviorofhigherordernonlineardifferentialequations |