Please use this identifier to cite or link to this item:
Oscillation for a system of first order dynamic equations on time scales
Linear dynamic systems
|Issue Date:||2016-05-09 12:01:08 (UTC+8)|
Main results 6
Some auxiliary lemmas 9
Proof of main results 16
Some examples 22
|Reference:|| 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.
 J. D. Mirzov, On oscillation of solutions of a certain system of differential equations. (Russian) Mat. Zametki 23(1978), No. 3, 401-404.
 J. D. Mirzov, Asymptotic behaviour of solutions of systems of nonlinear non-autonomous ordinary differential equations. (Russian) Maikop, 1993.
 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.
 J.R. Graef and E. Thandapani, Oscillation of two-dimensional difference systems, Comput. Math. Appl. 38 (1999) 157–165.
 H.F. Huo and W.T. Li, Oscillation of certain two-dimensional nonlinear difference systems, Comput. Math. Appl. 45 (2003) 1221–1226.
 J. Jiang and X. Tang, Oscillation and asymptotic behavior of two-dimensional difference systems, J. Comput. Math. Appl. 54 (2007) 1240–1249.
 J. Jiang and X. Tang, Oscillation criteria for two-dimensional difference systems of first order difference equations, Comput. Math. 54(2007) 808-818.
 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.
 W.~T.~Li, Classification schemes for nonoscillator solutions of two-dimensional nonlinear difference systems, Comput. Math. Appl. 42(2001) 341-355.
 R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35(1999) 3-22.
 M. Bohner and A. Peterson, Dynamic Equation on Time Scales, An Introduction with Application, Birkhauser, Boston (2001).
 M. Bohner and A. Peterson, Advances in Dynamic Equation on Time Scales, Birkhauser, Boston (2003).
 I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, (1991).
 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.
|Appears in Collections:||[應用數學系] 學位論文|
Files in This Item:
All items in 學術集成 are protected by copyright, with all rights reserved.