Periodicity of solutions to delayed dynamic equations with feedback control
Using coincidence degree theory, the related continuation theorem, and some priori estimates, we investigate the existence of periodic solutions of a class of delayed dynamic equations with feedback on time scales. Some sufficient criteria are established for the existence solutions. In particul...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/123/abstr.html |
| _version_ | 1818210297723224064 |
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| author | Zhijun Zeng |
| author_facet | Zhijun Zeng |
| author_sort | Zhijun Zeng |
| collection | DOAJ |
| description | Using coincidence degree theory, the related continuation theorem, and some priori estimates, we investigate the existence of periodic solutions of a class of delayed dynamic equations with feedback on time scales. Some sufficient criteria are established for the existence solutions. In particular, when the time scale is chosen as the set of the real numbers or the integers, the existence of the periodic solutions to the corresponding continuous-time and discrete-time models follows. |
| first_indexed | 2024-12-12T05:14:22Z |
| format | Article |
| id | doaj.art-d450c13ccca34d92912740770643e375 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T05:14:22Z |
| publishDate | 2010-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d450c13ccca34d92912740770643e3752022-12-22T00:36:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-08-012010123,115Periodicity of solutions to delayed dynamic equations with feedback controlZhijun ZengUsing coincidence degree theory, the related continuation theorem, and some priori estimates, we investigate the existence of periodic solutions of a class of delayed dynamic equations with feedback on time scales. Some sufficient criteria are established for the existence solutions. In particular, when the time scale is chosen as the set of the real numbers or the integers, the existence of the periodic solutions to the corresponding continuous-time and discrete-time models follows.http://ejde.math.txstate.edu/Volumes/2010/123/abstr.htmlTime scalesdelayed dynamic equationfeedback controlcoincidence degreeperiodic solution |
| spellingShingle | Zhijun Zeng Periodicity of solutions to delayed dynamic equations with feedback control Electronic Journal of Differential Equations Time scales delayed dynamic equation feedback control coincidence degree periodic solution |
| title | Periodicity of solutions to delayed dynamic equations with feedback control |
| title_full | Periodicity of solutions to delayed dynamic equations with feedback control |
| title_fullStr | Periodicity of solutions to delayed dynamic equations with feedback control |
| title_full_unstemmed | Periodicity of solutions to delayed dynamic equations with feedback control |
| title_short | Periodicity of solutions to delayed dynamic equations with feedback control |
| title_sort | periodicity of solutions to delayed dynamic equations with feedback control |
| topic | Time scales delayed dynamic equation feedback control coincidence degree periodic solution |
| url | http://ejde.math.txstate.edu/Volumes/2010/123/abstr.html |
| work_keys_str_mv | AT zhijunzeng periodicityofsolutionstodelayeddynamicequationswithfeedbackcontrol |