Oscillation criteria for perturbed nonlinear dynamic equations

Mathematical and Computer Modelling

Volumn 40, Issue 3-4, 2004, Pages 249-260

  Bohner, M ^a   Saker, S H ^b  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

^b MANSOURA UNIVERSITY   (Egypt)

Author keywords

Oscillation; Positive solution; Riccati transformationtechnique; Second order nonlinear dynamic equation; Time scale

Indexed keywords

NONLINEAR DYNAMIC EQUATIONS;

NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

OSCILLATIONS;

EID: 9644279696     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.03.002     Document Type: Article

References (14)

1. S. Hilger Analysis on measure chains--A unified approach to continuous and discrete calculus Results Math. 18 1990 18 56
2. M. Bohner, and A. Peterson Dynamic Equations on Time Scales: An Introduction with Applications 2001 Birkhäuser New York, NY
3. M. Bohner, and A. Peterson Advances in Dynamic Equations on Time Scales 2003 Birkhäuser Boston
4. R.P. Agarwal, S.R. Grace, and D. O'Regan Oscillation Theory for Difference and Functional Differential Equations 2000 Kluwer Academic Boston
5. E. Akin, L. Erbe, B. Kaymakgalan, and A. Peterson Oscillation results for a dynamic equation on a time scale J. Differ. Equations Appl. 7 6 2001 793 810
6. M. Bohner, O. Dosly, and W. Kratz An oscillation theorem for discrete eigenvalue problems Rocky Mountain J. Math. 33 4 2003 1233 1260
7. M. Bohner, and S.H. Saker Oscillation of second order nonlinear dynamic equations on time scales Rocky Mountain J. Math. 34 4 2004 1239 1254
8. O. Došlý, and S. Hilger A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales 1/2 R.P. Agarwal M. Bohner D. O'Regan Dynamic Equations on Time Scales J. Comput. Appl. Math. 141 2002 147 158 a Special Issue of
9. L. Erbe, and A. Peterson Positive solutions for a nonlinear differential equation on a measure chain Mathl. Comput. Modelling 32 5/6 2000 571 585
10. L. Erbe, and A. Peterson Riccati equations on a measure chain G.S. Ladde N.G. Medhin M. Sambandham Proceedings of Dynamic Systems and Applications, Atlanta, GA Volume 3 1999 2001 Dynamic Publishers Dordrecht 193 199
11. L. Erbe, and A. Peterson Oscillation criteria for second order matrix dynamic equations on a time scale 1/2 R.P. Agarwal M. Bohner D. O'Regan Dynamic Equations on Time Scales J. Comput. Appl. Math. 141 2002 169 185 a Special Issue of
12. L. Erbe, A. Peterson, and S.H. Saker Oscillation criteria for second-order nonlinear dynamic equations on time scales J. London Math. Soc. 67 3 2003 701 714
13. G.Sh. Guseinov, and B. Kaymakçalan On a disconjugacy criterion for second order dynamic equations on time scales 1/2 R.P. Agarwal M. Bohner D. O'Regan Dynamic Equations on Time Scales J. Comput. Appl. Math. 141 2002 187 196 a Special Issue of
14. M. Bohner, and G.Sh. Guseinov Improper integrals on time scales Dynam. Systems Appl. 12 1/2 2003 45 66