AUTHORS: Jinjun Fan, Xiaodong Lu
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ABSTRACT: In this paper, we study the existence of oscillatory solutions to a class of second order forced neutral dynamic equations with time delay on time scales and give several sufficient conditions for oscillation of bounded solutions
KEYWORDS: time scales; time delay; neutral; dynamic equations; oscillatory solution
REFERENCES:
[1] R. P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications. Results Math. 35, 1999, pp. 3–22.
[2] R. P. Agarwal, M. Bohner and D. O’Regan, Dynamic equations on time scales: a survey. J. Comput. Appl. Math., 141(1-2), 2002, pp. 1-26.
[3] R. P. Agarwal, M. Bohner and S. H. Saker, Oscillation of second order delay dynamic equations,Canadian Applied Mathematics Quarterly, 13(1), 2005, pp. 1-18.
[4] L. H. Erbe, S. Peterson and S. H. Saker, Oscillation criteria for second-order nonlinear delay dynamic equations, J. Math. Anal. Appl., 333(1), 2007, pp. 505-522.
[5] Y. Sahiner, Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales, Advances in Difference Equations, Vol.2006, 2006, pp. 1-9.
[6] S. H. Saker, Oscillation of second-order nonlinear neutral delay dynamic equations on time scales, J. Comp. Appl. Math., 187(2), 2006, pp. 123-141.
[7] S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus, Results Math.,18, 1990, pp. 18-56.