On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn
We study the oscillatory behavior, the periodicity and the asymptotic behavior of the positive solutions of the system of two nonlinear difference equations xn+1=A+xn−1/yn and yn+1=A+yn−1/xn, where A is a positive constant, and n=0,1,….
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003227 |
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| _version_ | 1832553514095607808 |
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| author | G. Papaschinopoulos C. J. Schinas |
| author_facet | G. Papaschinopoulos C. J. Schinas |
| author_sort | G. Papaschinopoulos |
| collection | DOAJ |
| description | We study the oscillatory behavior, the periodicity and the asymptotic behavior of the positive solutions of the system of two nonlinear difference equations xn+1=A+xn−1/yn and yn+1=A+yn−1/xn, where A is a positive constant, and n=0,1,…. |
| format | Article |
| id | doaj-art-027db83817f74f76bcb015cf51eec797 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-027db83817f74f76bcb015cf51eec7972025-02-03T05:53:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231283984810.1155/S0161171200003227On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xnG. Papaschinopoulos0C. J. Schinas1Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi 67100, GreeceDepartment of Applied Informatics, University of Macedonia, Thessaloniki 54006, GreeceWe study the oscillatory behavior, the periodicity and the asymptotic behavior of the positive solutions of the system of two nonlinear difference equations xn+1=A+xn−1/yn and yn+1=A+yn−1/xn, where A is a positive constant, and n=0,1,….http://dx.doi.org/10.1155/S0161171200003227System of two nonlinear difference equationsperiodic solutionsoscillationasymptotic behavior. |
| spellingShingle | G. Papaschinopoulos C. J. Schinas On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn International Journal of Mathematics and Mathematical Sciences System of two nonlinear difference equations periodic solutions oscillation asymptotic behavior. |
| title | On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn |
| title_full | On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn |
| title_fullStr | On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn |
| title_full_unstemmed | On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn |
| title_short | On the system of two nonlinear difference equations xn+1=A+xn−1/yn, yn+1=A+yn−1/xn |
| title_sort | on the system of two nonlinear difference equations xn 1 a xn 1 yn yn 1 a yn 1 xn |
| topic | System of two nonlinear difference equations periodic solutions oscillation asymptotic behavior. |
| url | http://dx.doi.org/10.1155/S0161171200003227 |
| work_keys_str_mv | AT gpapaschinopoulos onthesystemoftwononlineardifferenceequationsxn1axn1ynyn1ayn1xn AT cjschinas onthesystemoftwononlineardifferenceequationsxn1axn1ynyn1ayn1xn |