Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument
Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial values of periodic solutions in terms of the...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/828952 |
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| _version_ | 1849306861953613824 |
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| author | James Guyker |
| author_facet | James Guyker |
| author_sort | James Guyker |
| collection | DOAJ |
| description | Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial values of periodic solutions in terms of the coefficients of the resulting difference equations. Sufficient conditions for the unboundedness, boundedness, and symmetry of general solutions also follow from the corresponding properties of the difference
equations. |
| format | Article |
| id | doaj-art-1ef2989d63434891bbb40b0191bfc6c8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1ef2989d63434891bbb40b0191bfc6c82025-08-20T03:54:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/828952828952Periodic Solutions of Certain Differential Equations with Piecewise Constant ArgumentJames Guyker0Department of Mathematics, SUNY College at Buffalo, 1300 Elmwood Avenue, Buffalo, NY 14222-1095, USAExistence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial values of periodic solutions in terms of the coefficients of the resulting difference equations. Sufficient conditions for the unboundedness, boundedness, and symmetry of general solutions also follow from the corresponding properties of the difference equations.http://dx.doi.org/10.1155/2015/828952 |
| spellingShingle | James Guyker Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument International Journal of Mathematics and Mathematical Sciences |
| title | Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument |
| title_full | Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument |
| title_fullStr | Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument |
| title_full_unstemmed | Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument |
| title_short | Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument |
| title_sort | periodic solutions of certain differential equations with piecewise constant argument |
| url | http://dx.doi.org/10.1155/2015/828952 |
| work_keys_str_mv | AT jamesguyker periodicsolutionsofcertaindifferentialequationswithpiecewiseconstantargument |