Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/94852


Title: 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
Authors: 林名黎
Contributors: 符聖珍
林名黎
Keywords: 振盪性
線性動態系統
時間刻度
Oscillation
Linear dynamic systems
Time scale
Date: 2009
Issue Date: 2016-05-09 12:01:08 (UTC+8)
Abstract: 因有數學式子,所以無法編輯。
謝辭 i
Abstract ii
中文摘要 iii
Introduction 1
Preliminary 3
Main results 6
Some auxiliary lemmas 9
Proof of main results 16
Some examples 22
Reference 26
Reference: [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.

[2] J. D. Mirzov, On oscillation of solutions of a certain system of differential equations. (Russian) Mat. Zametki 23(1978), No. 3, 401-404.

[3] J. D. Mirzov, Asymptotic behaviour of solutions of systems of nonlinear non-autonomous ordinary differential equations. (Russian) Maikop, 1993.

[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.

[5] J.R. Graef and E. Thandapani, Oscillation of two-dimensional difference systems, Comput. Math. Appl. 38 (1999) 157–165.

[6] H.F. Huo and W.T. Li, Oscillation of certain two-dimensional nonlinear difference systems, Comput. Math. Appl. 45 (2003) 1221–1226.

[7] J. Jiang and X. Tang, Oscillation and asymptotic behavior of two-dimensional difference systems, J. Comput. Math. Appl. 54 (2007) 1240–1249.

[8] J. Jiang and X. Tang, Oscillation criteria for two-dimensional difference systems of first order difference equations, Comput. Math. 54(2007) 808-818.

[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.

[10] W.~T.~Li, Classification schemes for nonoscillator solutions of two-dimensional nonlinear difference systems, Comput. Math. Appl. 42(2001) 341-355.

[11] R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35(1999) 3-22.

[12] M. Bohner and A. Peterson, Dynamic Equation on Time Scales, An Introduction with Application, Birkhauser, Boston (2001).

[13] M. Bohner and A. Peterson, Advances in Dynamic Equation on Time Scales, Birkhauser, Boston (2003).

[14] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, (1991).

[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.
Description: 碩士
國立政治大學
應用數學系
96751010
Source URI: http://thesis.lib.nccu.edu.tw/record/#G0096751010
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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