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Jinjun Fan
Xiaodong Lu



Author(s) and WSEAS

Jinjun Fan
Xiaodong Lu


WSEAS Transactions on Circuits and Systems


Print ISSN: 1109-2734
E-ISSN: 2224-266X

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 16, 2017



Existence of Bounded Oscillatory Solutions to Second Order Forced Neutral Dynamic Equations with Time Delay on Time Scales

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.

WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 17, 2018, Art. #4, pp. 26-29


Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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