OSCILLATION BEHAVIOR OF SOLUTIONS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES |
Han, Zhenlai
(School of Science University of Jinan, School of Control Science and Engineering Shandong University)
Li, Tongxing (School of Science University of Jinan) Sun, Shurong (School of Science University of Jinan) Zhang, Meng (School of Science University of Jinan) |
1 | Y. Sahiner, Oscillation of second-order delay differential equations on time scales, Non-linear Analysis, TMA 63 (2005), 1073-1080. DOI ScienceOn |
2 | S. H. Saker, Oscillation criteria of second-order half-linear dynamic equations on time scales, J. Comput. Appl. Math. 177 (2005), no. 2, 375-387. DOI ScienceOn |
3 | S. H. Saker, R. P. Agarwal, and D. O'Regan, Oscillation results for second-order non-linear neutral delay dynamic equations on time scales, Appl. Anal. 86 (2007), no. 1, 1-17. DOI ScienceOn |
4 | R. P. Agarwal, M. Bohner, D. O'Regan, and A. Peterson, Dynamic equations on time scales: a survey, J. Comput. Appl. Math. 141 (2002), no. 1-2, 1-26. DOI ScienceOn |
5 | R. P. Agarwal, M. Bohner, and S. H. Saker, Oscillation of second order delay dynamic equations, Can. Appl. Math. Q. 13 (2005), no. 1, 1-17. |
6 | M. Bohner and A. Peterson, Dynamic Equations on Time Scales, Birkhauser, Boston, 2001. |
7 | M. Bohner and A. Peterson, Advances in dynamic Equations on Time Scales, Birkhauser, Boston, 2003. |
8 | M. Bohner and S. H. Saker, Oscillation of second order nonlinear dynamic equations on time scales, Rocky Mountain J. Math. 34 (2004), no. 4, 1239-1254. DOI ScienceOn |
9 | L. H. Erbe, Oscillation results for second order linear equations on a time scale, J. Difference Equ. Appl. 8 (2002), no. 11, 1061-1071. DOI |
10 | L. Erbe, A. Peterson, and S. H. Saker, Oscillation criteria for second-order nonlinear delay dynamic equations, J. Math. Anal. Appl. 333 (2007), no. 1, 505-522. DOI ScienceOn |
11 | L. Erbe, A. Peterson, and S. H. Saker, Asymptotic behavior of solution of a third-order nonlinear dynamic equation on time scales, J. Comput. Appl. Math. 181 (2005), no. 1, 92-102. DOI ScienceOn |
12 | L. Erbe, A. Peterson, and S. H. Saker, Hille and Nehari type criteria for third-order dynamic equations, J. Math. Anal. Appl. 329 (2007), no. 1, 112-131. DOI ScienceOn |
13 | Z. Han, S. Sun, and B. Shi, Oscillation criteria for a class of second order Emden-Fowler delay dynamic equations on time scales, J. Math. Anal. Appl. 334 (2007), no. 2, 847-858. DOI ScienceOn |
14 | S. Sun, Z. Han, P. Zhao, and C. Zhang, Oscillation for a class of second order Emden-Fowler delay dynamic equations on time scales, Adv. Difference Equ. 2010 (2010), Art. ID 642356, 15 pp. |
15 | Z.-H. Yu and Q.-R. Wang, Asymptotic behavior of solutions of third-order nonlinear dynamic equations on time scales, J. Comput. Appl. Math. 225 (2009), no. 2, 531-540. DOI ScienceOn |
16 | B. G. Zhang and Z. Shanliang, Oscillation of second order nonlinear delay dynamic equations on time scales, Comput. Math. Appl. 49 (2005), no. 4, 599-609. DOI ScienceOn |
17 | Z. Han, T. Li, S. Sun, and F. Cao, Oscillation criteria for third order nonlinear delay dynamic equations on time scales, Ann. Polon. Math. 99 (2010), no. 2, 143-156. DOI |
18 | Z. Han, T. Li, S. Sun, C. Zhang, and B. Han, Oscillation criteria for a class of second order neutral delay dynamic equations of Emden-Fowler type, Abstr. Appl. Anal. 2-11 (2011), Art. ID 653689, 26 pp. |
19 | Z. Han, S. Sun, and B. Shi, Oscillation criteria for second-order delay dynamic equations on time scales, Adv. Difference Equ. 2007 (2007), Art. ID. 70730, 16 pp. |
20 | T. S. Hassan, Oscillation criteria for half-linear dynamic equations on time scales, J. Math. Anal. Appl. 345 (2008), no. 1, 176-185. DOI ScienceOn |
21 | T. S. Hassan, Oscillation of third order nonlinear delay dynamic equations on time scales, Math. Comput. Modelling 49 (2009), no. 7-8, 1573-1586. DOI ScienceOn |
22 | S. Hilger, Analysis on measure chains|a unified approach to continuous and discrete calculus, Results Math. 18 (1990), no. 1-2, 18-56. DOI |