Nonoscillation theorems for functional differential equations of arbitrary order
The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. A few intermediate results are also obtained.
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000259 |
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| _version_ | 1832551976000290816 |
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| author | John R. Graef Myron K. Grammatikopoulos Yuichi Kitamura Takasi Kusano Hiroshi Onose Paul W. Spikes |
| author_facet | John R. Graef Myron K. Grammatikopoulos Yuichi Kitamura Takasi Kusano Hiroshi Onose Paul W. Spikes |
| author_sort | John R. Graef |
| collection | DOAJ |
| description | The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. A few intermediate results are also obtained. |
| format | Article |
| id | doaj-art-c06a857d09704ed9ac38c271e989a7cc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c06a857d09704ed9ac38c271e989a7cc2025-02-03T06:00:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017224925610.1155/S0161171284000259Nonoscillation theorems for functional differential equations of arbitrary orderJohn R. Graef0Myron K. Grammatikopoulos1Yuichi Kitamura2Takasi Kusano3Hiroshi Onose4Paul W. Spikes5Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762, USADepartment of Mathematics, University of Ioannina, loannina, GreeceDepartment of Mathematics, Nagasaki University, Nagasaki 852, JapanDepartment of Mathematics, Hiroshima University, Hiroshima 730, JapanDepartment of Mathematics, Ibaraki University, Mito 310, JapanDepartment of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762, USAThe authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. A few intermediate results are also obtained.http://dx.doi.org/10.1155/S0161171284000259convergence to zerononoscillationoscillatory solutions. |
| spellingShingle | John R. Graef Myron K. Grammatikopoulos Yuichi Kitamura Takasi Kusano Hiroshi Onose Paul W. Spikes Nonoscillation theorems for functional differential equations of arbitrary order International Journal of Mathematics and Mathematical Sciences convergence to zero nonoscillation oscillatory solutions. |
| title | Nonoscillation theorems for functional differential equations of arbitrary order |
| title_full | Nonoscillation theorems for functional differential equations of arbitrary order |
| title_fullStr | Nonoscillation theorems for functional differential equations of arbitrary order |
| title_full_unstemmed | Nonoscillation theorems for functional differential equations of arbitrary order |
| title_short | Nonoscillation theorems for functional differential equations of arbitrary order |
| title_sort | nonoscillation theorems for functional differential equations of arbitrary order |
| topic | convergence to zero nonoscillation oscillatory solutions. |
| url | http://dx.doi.org/10.1155/S0161171284000259 |
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