Boundedness and oscillation for nonlinear dynamic equations on a time scale

Proceedings of the American Mathematical Society

Volumn 132, Issue 3, 2004, Pages 735-744

  Erbe, Lynn ^a   Peterson, Allan ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1442302793     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-03-07061-8     Document Type: Conference Paper

References (14)

1. E. Akin, L. Erbe, B. Kaymakçalan, and A. Peterson, Oscillation results for a dynamic equation on a time scale, J. Differential Equations Appl. 7, (2001), 793-810. MR 2003d:39002
2. M. Bohner, O. Došlý, and W. Kratz, An oscillation theorem for discrete eigenvalue problems, Rocky Mountain J. Math, (2002), to appear.
3. M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, 2001. MR 2002c:34002
4. M. Bohner and S. H. Saker, Oscillation of second order nonlinear dynamic equations on time scales, Rocky Mountain Journal of Mathematics, to appear.
5. O. Došlý and S. Hilger, A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales, Special Issue on "Dynamic Equations on Time Scales", edited by R. P. Agarwal, M. Bohner, and D. O'Regan, J. Comp. Appl. Math. 141(1-2), (2002) 147-158. MR 2003f:39015
6. L. Erbe, Oscillation theorems for second order nonlinear differential equations, Proc. Amer. Math. Soc., 24 (1970), 811-814. MR 40:5973
7. L. Erbe, Oscillation criteria for second order linear equations on a time scale, Canadian Applied Mathematics Quarterly, 9 (2001), 1-31.
8. L. Erbe, L. Kong and Q. Kong, Telescoping principle for oscillation for second order differential equations on a time scale, preprint.
9. L. Erbe and A. Peterson, Riccati equations on a measure chain, In G. S. Ladde, N. G. Medhin, and M. Sambandham, editors, Proceedings of Dynamic Systems and Applications, volume 3, pages 193-199, Dynamic Publishers, Atlanta, GA, 2001. MR 2002h:34018
10. L. Erbe and A. Peterson. Oscillation criteria for second-order matrix dynamic equations on a time scale, Special Issue on "Dynamic Equations on Time Scales", edited by R. P. Agarwal, M. Bohner, and D. O'Regan, J. Comput. Appl. Math., 141(1-2), (2002), 169-185. MR 2003e:34023
11. L. Erbe, A. Peterson, and P. Rehak, Comparison Theorems for Linear Dynamic Equations on Time Scales, Journal of Mathematical Analysis and Applications, 275 (2002), 418-438.
12. L. Erbe, A. Peterson, and S. H. Saker, Oscillation Criteria for second-order nonlinear dynamic equations on time scales, Journal of the London Mathematical Society, 67 (2003), 701-714.
13. S. Keller, Asymptotisches Verhalten Invarianter Faserbündel bei Diskretisierung und Mittelwertbildung im Rahmen der Analysis auf Zeitskalen, Ph.D. thesis, Universität Augsburg, 1999.
14. C. Pötzsche, Chain rule and invariance principle on measure chains, Special Issue on "Dynamic Equations on Time Scales", edited by R. P. Agarwal, M. Bohner, and D. O'Regan, J. Comput. Appl. Math., 141(1-2) (2002), 249-254.