Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments
This paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. Using the Lyapunov-Krasovskii functional approach, we find certain sufficient conditions for the solutions to be stable and bounded. We give an example to illustrate th...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/392386 |
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| _version_ | 1832568294434930688 |
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| author | Cemil Tunç |
| author_facet | Cemil Tunç |
| author_sort | Cemil Tunç |
| collection | DOAJ |
| description | This paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. Using the Lyapunov-Krasovskii functional approach, we find certain sufficient conditions for the solutions to be stable and bounded. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here. |
| format | Article |
| id | doaj-art-6f3b4e52261c436ca1d2b2eab9e8a52b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6f3b4e52261c436ca1d2b2eab9e8a52b2025-02-03T00:59:20ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/392386392386Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating ArgumentsCemil Tunç0Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyThis paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. Using the Lyapunov-Krasovskii functional approach, we find certain sufficient conditions for the solutions to be stable and bounded. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here.http://dx.doi.org/10.1155/2012/392386 |
| spellingShingle | Cemil Tunç Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments Abstract and Applied Analysis |
| title | Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments |
| title_full | Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments |
| title_fullStr | Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments |
| title_full_unstemmed | Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments |
| title_short | Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments |
| title_sort | qualitative behaviors of functional differential equations of third order with multiple deviating arguments |
| url | http://dx.doi.org/10.1155/2012/392386 |
| work_keys_str_mv | AT cemiltunc qualitativebehaviorsoffunctionaldifferentialequationsofthirdorderwithmultipledeviatingarguments |