Some new dynamic inequalities on time scales

Journal of Mathematical Analysis and Applications

Volumn 319, Issue 2, 2006, Pages 802-814

  Li, Wei Nian ^a,b,c  

^a BINZHOU UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c SHANDONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Dynamic equation; Dynamic inequality; Time scales

Indexed keywords

EID: 33645960633     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.06.065     Document Type: Article

References (15)

1. Agarwal R.P., Bohner M., and Peterson A. Inequalities on time scales: A survey. Math. Inequal. Appl. 4 (2001) 535-557
2. Agarwal R.P., Bohner M., O'Regan D., and Peterson A. Dynamic equations on time scales: A survey. J. Comput. Appl. Math. 141 (2002) 1-26
3. Agarwal R.P., O'Regan D., and Saker S.H. Oscillation criteria for second-order nonlinear neutral delay dynamic. J. Math. Anal. Appl. 300 (2004) 203-217
4. Akin-Bohner E., Bohner M., and Akin F. Pachpatte inequalities on time scales. J. Inequal. Pure Appl. Math. 6 (2005). http://jipam.vu.edu.au/ Art. 6, online
5. Bohner M., and Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications (2001), Birkhäuser, Boston
6. Bohner M., and Peterson A. Advances in Dynamic Equations on Time Scales (2003), Birkhäuser, Boston
7. Bohner M., Erbe L., and Peterson A. Oscillation for nonlinear second order dynamic equations on a time scale. J. Math. Anal. Appl. 301 (2005) 491-507
8. Erbe L., and Peterson A. Oscillation criteria for second order matrix dynamic equations on a time scale. J. Comput. Appl. Math. 141 (2002) 169-185
9. Erbe L., Peterson A., and Saker S.H. Oscillation criteria for second-order nonlinear dynamic equations on time scales. J. London Math. Soc. 67 (2003) 701-714
10. Erbe L., and Peterson A. Boundedness and oscillation for nonlinear dynamic equations on a time scale. Proc. Amer. Math. Soc. 132 (2003) 735-744
11. Hilger S. Analysis on measure chains-A unified approach to continuous and discrete calculus. Results Math. 18 (1990) 18-56
12. W.N. Li, Some dynamic inequalities on time scales, Appl. Math. Comput., in press
13. Saker S.H. Oscillation of nonlinear dynamic equations on time scales. Appl. Math. Comput. 148 (2004) 81-91
14. Sun H.R., and Li W.T. Positive solutions of second order half-linear dynamic equations on time scales. Appl. Math. Comput. 158 (2004) 331-344
15. Xing Y., Han M., and Zheng G. Initial value problem for first order integro-differential equation of Volterra type on time scales. Nonlinear Anal. 60 (2005) 429-442