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題名 一階線性動態方程系統的振盪性
Oscillation for a system of first order dynamic equations on time scales
作者 林名黎
貢獻者 符聖珍
林名黎
關鍵詞 振盪性
線性動態系統
時間刻度
Oscillation
Linear dynamic systems
Time scale
日期 2009
上傳時間 9-May-2016 12:01:08 (UTC+8)
摘要 因有數學式子，所以無法編輯。
謝辭 i\r\nAbstract ii\r\n中文摘要 iii\r\nIntroduction 1\r\nPreliminary 3\r\nMain results 6\r\nSome auxiliary lemmas 9\r\nProof of main results 16\r\nSome examples 22\r\nReference 26
參考文獻 [1] J. D. Mirzov, On some analogues of Sturm`s and Kneser`s theorems for nonlinear systems, J. Math. Anal. Appl. 53(1976), No. 2, 418-425.\r\n\r\n[2] J. D. Mirzov, On oscillation of solutions of a certain system of differential equations. (Russian) Mat. Zametki 23(1978), No. 3, 401-404.\r\n\r\n[3] J. D. Mirzov, Asymptotic behaviour of solutions of systems of nonlinear non-autonomous ordinary differential equations. (Russian) Maikop, 1993.\r\n\r\n[4] A. Lomtatidze and N. Partsvania, Oscillation and nonoscillation criteria for two-dimensional systems of first order linear ordinary differential equations, Georgian Math. J. 6(1999), No. 3, 285-298. \r\n \r\n[5] J.R. Graef and E. Thandapani, Oscillation of two-dimensional difference systems, Comput. Math. Appl. 38 (1999) 157–165.\r\n\r\n[6] H.F. Huo and W.T. Li, Oscillation of certain two-dimensional nonlinear difference systems, Comput. Math. Appl. 45 (2003) 1221–1226.\r\n\r\n[7] J. Jiang and X. Tang, Oscillation and asymptotic behavior of two-dimensional difference systems, J. Comput. Math. Appl. 54 (2007) 1240–1249.\r\n\r\n[8] J. Jiang and X. Tang, Oscillation criteria for two-dimensional difference systems of first order difference equations, Comput. Math. 54(2007) 808-818.\r\n \r\n[9] L. Erbe and A. Peterson, Oscillation criteria for second-order matrix dynamic equations on a time scale, Journal of Computational and Applied Mathematics 141(2002) 169–185.\r\n \r\n[10] W.~T.~Li, Classification schemes for nonoscillator solutions of two-dimensional nonlinear difference systems, Comput. Math. Appl. 42(2001) 341-355.\r\n\r\n[11] R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35(1999) 3-22.\r\n \r\n[12] M. Bohner and A. Peterson, Dynamic Equation on Time Scales, An Introduction with Application, Birkhauser, Boston (2001).\r\n \r\n[13] M. Bohner and A. Peterson, Advances in Dynamic Equation on Time Scales, Birkhauser, Boston (2003). \r\n \r\n[14] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, (1991).\r\n\r\n[15] Y. Xu and Z. Xu, Oscillation criteria for two-dimensional dynamic systems on time scales, Journal of Computational and Applied Mathematics 225 (2009) 9-19.
描述 碩士
國立政治大學
應用數學系
96751010
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0096751010
資料類型 thesis
dc.contributor.advisor 符聖珍zh_TW
dc.contributor.author (Authors) 林名黎zh_TW
dc.creator (作者) 林名黎zh_TW
dc.date (日期) 2009en_US
dc.date.accessioned 9-May-2016 12:01:08 (UTC+8)-
dc.date.available 9-May-2016 12:01:08 (UTC+8)-
dc.date.issued (上傳時間) 9-May-2016 12:01:08 (UTC+8)-
dc.identifier (Other Identifiers) G0096751010en_US
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=106988-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學系zh_TW
dc.description (描述) 96751010zh_TW
dc.description.abstract (摘要) 因有數學式子，所以無法編輯。zh_TW
dc.description.abstract (摘要) 謝辭 i\r\nAbstract ii\r\n中文摘要 iii\r\nIntroduction 1\r\nPreliminary 3\r\nMain results 6\r\nSome auxiliary lemmas 9\r\nProof of main results 16\r\nSome examples 22\r\nReference 26-
dc.description.tableofcontents 謝辭 i\r\nAbstract ii\r\n中文摘要 iii\r\nIntroduction 1\r\nPreliminary 3\r\nMain results 6\r\nSome auxiliary lemmas 9\r\nProof of main results 16\r\nSome examples 22\r\nReference 26zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0096751010en_US
dc.subject (關鍵詞) 振盪性zh_TW
dc.subject (關鍵詞) 線性動態系統zh_TW
dc.subject (關鍵詞) 時間刻度zh_TW
dc.subject (關鍵詞) Oscillationen_US
dc.subject (關鍵詞) Linear dynamic systemsen_US
dc.subject (關鍵詞) Time scaleen_US
dc.title (題名) 一階線性動態方程系統的振盪性zh_TW
dc.title (題名) Oscillation for a system of first order dynamic equations on time scalesen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1] J. D. Mirzov, On some analogues of Sturm`s and Kneser`s theorems for nonlinear systems, J. Math. Anal. Appl. 53(1976), No. 2, 418-425.\r\n\r\n[2] J. D. Mirzov, On oscillation of solutions of a certain system of differential equations. (Russian) Mat. Zametki 23(1978), No. 3, 401-404.\r\n\r\n[3] J. D. Mirzov, Asymptotic behaviour of solutions of systems of nonlinear non-autonomous ordinary differential equations. (Russian) Maikop, 1993.\r\n\r\n[4] A. Lomtatidze and N. Partsvania, Oscillation and nonoscillation criteria for two-dimensional systems of first order linear ordinary differential equations, Georgian Math. J. 6(1999), No. 3, 285-298. \r\n \r\n[5] J.R. Graef and E. Thandapani, Oscillation of two-dimensional difference systems, Comput. Math. Appl. 38 (1999) 157–165.\r\n\r\n[6] H.F. Huo and W.T. Li, Oscillation of certain two-dimensional nonlinear difference systems, Comput. Math. Appl. 45 (2003) 1221–1226.\r\n\r\n[7] J. Jiang and X. Tang, Oscillation and asymptotic behavior of two-dimensional difference systems, J. Comput. Math. Appl. 54 (2007) 1240–1249.\r\n\r\n[8] J. Jiang and X. Tang, Oscillation criteria for two-dimensional difference systems of first order difference equations, Comput. Math. 54(2007) 808-818.\r\n \r\n[9] L. Erbe and A. Peterson, Oscillation criteria for second-order matrix dynamic equations on a time scale, Journal of Computational and Applied Mathematics 141(2002) 169–185.\r\n \r\n[10] W.~T.~Li, Classification schemes for nonoscillator solutions of two-dimensional nonlinear difference systems, Comput. Math. Appl. 42(2001) 341-355.\r\n\r\n[11] R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35(1999) 3-22.\r\n \r\n[12] M. Bohner and A. Peterson, Dynamic Equation on Time Scales, An Introduction with Application, Birkhauser, Boston (2001).\r\n \r\n[13] M. Bohner and A. Peterson, Advances in Dynamic Equation on Time Scales, Birkhauser, Boston (2003). \r\n \r\n[14] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, (1991).\r\n\r\n[15] Y. Xu and Z. Xu, Oscillation criteria for two-dimensional dynamic systems on time scales, Journal of Computational and Applied Mathematics 225 (2009) 9-19.zh_TW