Title | OSCILLATIONS IN LINEAR NEUTRAL DELAY IMPULSIVE DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | ISAAC, IO, LIPSCEY, Z |
Secondary Title | Communications in Applied Analysis |
Volume | 14 |
Issue | 2 |
Start Page | 123 |
Pagination | 136 |
Date Published | 04/2010 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 34K40, 34K45, 99Z00. 34K11 |
Abstract | This paper presents the conditions for the oscillation of the solutions of the neutral delay impulsive differential equation
for constant coefficients and delays. The relevance of the resulting theorems is manifested in many extensions, particularly in the investigation involving neutral impulsive differential equations with variable coefficients and delays.
|
URL | http://www.acadsol.eu/en/articles/14/2/1.pdf |
Short Title | DELAY IMPULSIVE DIFFERENTIAL EQUATIONS |
Refereed Designation | Refereed |
Full Text | REFERENCES[1] D. D. Bainov and P. S. Simeonov, Oscillation Theory of Impulsive Differential Equations, International Publications Orlando, Florida, 1998.
[2] L. Berezansky and E. Braverman, Oscillation of linear delay impulsive differential equations, Comm. Appl. Nonlinear Anal. 3 (1996), 61–77. [3] Y. Bolat and O. Akin, Oscillatory behaviour of higher order neutral type nonlinear forced differential equation with oscillating coefficients, J. Math. Anal. Appl. 290 (2004), 302–309. [4] V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific Publishing Co. Pte. Ltd. Singapore, (1989). [5] W. N. Li and L. Debnath, Oscillation of higher order neutral partial functional differential equations, Appl. Math. Lett. 16 (2003), 525–530. [6] S. Tanaka, An oscillation theorem for a class of even order neutral differential equations, J. Math. Anal. Appl. 273 (2007), 172–189. [7] J. Wong, Necessary and sufficient conditions for oscillation of second-order neutral differential equations, J. Math. Anal. Appl. 252 (2000), 342–352. [8] F. Q. Zhang, Z. Ma and J. R. Yan, Boundary value problems for first order impulsive delay differential equations with a parameter, J. Math. Anal. Appl. 290 (2004), 213–223. [9] F. Q. Zhang and J. R. Yan, Oscillation behaviour of even order neutral differential equations with variable coefficients, Appl. Math. Lett. 19 (2006), 1202–1206. [10] L. Zhiguo, L. Xiaoyan and S. Jianhua, Oscillation of impulsive neutral differential equations with positive and negative coefficients, Indian J. Pure Appl. Math. 31 (2000), 753–766. |