About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 281581, 5 pages
http://dx.doi.org/10.1155/2013/281581
Research Article

Oscillation Criteria for Linear Neutral Delay Differential Equations of First Order

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Received 10 May 2013; Revised 11 August 2013; Accepted 12 August 2013

Academic Editor: Aref Jeribi

Copyright © 2013 Fatima N. Ahmed et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. Ladas and Y. G. Sficas, “Oscillations of neutral delay differential equations,” Canadian Mathematical Bulletin, vol. 29, no. 4, pp. 438–445, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  2. Q. Chuanxi and G. Ladas, “Oscillations of first-order neutral equations with variable coefficients,” Monatshefte für Mathematik, vol. 109, no. 2, pp. 103–111, 1990. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. G. Ruan, “Oscillations for first order neutral differential equations with variable coefficients,” Bulletin of the Australian Mathematical Society, vol. 43, no. 1, pp. 147–152, 1991. View at Publisher · View at Google Scholar · View at MathSciNet
  4. E. M. Elabbasy and S. H. Saker, “Oscillation of delay differential equation with several positive and negative coefficients,” Discussiones Mathematicae, vol. 23, pp. 39–52, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  5. M. R. S. Kulenović, G. Ladas, and A. Meimaridou, “Necessary and sufficient condition for oscillations of neutral differential equations,” Australian Mathematical Society Journal B, vol. 28, no. 3, pp. 362–375, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  6. B. Karpuz and O. Öcalan, “Oscillation criteria for some classes of linear delay differential equations of first-order,” Bulletin of the Institute of Mathematics. Academia Sinica, vol. 3, no. 2, pp. 293–314, 2008. View at MathSciNet
  7. I. R. Al-Amri, “On the oscillation of first-order neutral delay differential equations with real coefficients,” International Journal of Mathematics and Mathematical Sciences, vol. 29, no. 4, pp. 245–249, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  8. J. S. Yu, Z. Wang, and C. X. Qian, “Oscillation of neutral delay differential equations,” Bulletin of the Australian Mathematical Society, vol. 45, no. 2, pp. 195–200, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  9. J. Jaroš, “On characterization of oscillations in first-order linear neutral differential equations,” Funkcialaj Ekvacioj, vol. 34, no. 2, pp. 331–342, 1991. View at MathSciNet
  10. M. K. Grammatikopoulos, E. A. Grove, and G. Ladas, “Oscillations of first-order neutral delay differential equations,” Journal of Mathematical Analysis and Applications, vol. 120, no. 2, pp. 510–520, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  11. I. Győri and G. Ladas, Oscillation Theory of Delay Differential Equations, Oxford Mathematical Monographs, The Clarendon Press, New York, NY, USA, 1991. View at MathSciNet
  12. I. Kubiaczyk and S. H. Saker, “Oscillation of solutions to neutral delay differential equations,” Mathematica Slovaca, vol. 52, no. 3, pp. 343–359, 2002. View at MathSciNet
  13. R. D. Driver, “A mixed neutral system,” Nonlinear Analysis. Theory, Methods & Applications, vol. 8, no. 2, pp. 155–158, 1984. View at Publisher · View at Google Scholar · View at MathSciNet
  14. E. M. Elabbasy and S. H. Saker, “Oscillation of first order neutral delay differential equations,” Kyungpook Mathematical Journal, vol. 41, no. 2, pp. 311–321, 2001. View at MathSciNet
  15. K. Farrell, E. A. Grove, and G. Ladas, “Neutral delay differential equations with positive and negative coefficients,” Applicable Analysis, vol. 27, no. 1–3, pp. 181–197, 1988. View at Publisher · View at Google Scholar · View at MathSciNet
  16. M. K. Grammatikopoulos, E. A. Grove, and G. Ladas, “Oscillation and asymptotic behavior of neutral differential equations with deviating arguments,” Applicable Analysis, vol. 22, no. 1, pp. 1–19, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  17. J. K. Hale, Theory of Functional Differential Equations, Springer, New York, NY, USA, 1977. View at MathSciNet
  18. J. S. Yu, M.-P. Chen, and H. Zhang, “Oscillation and nonoscillation in neutral equations with integrable coefficients,” Computers & Mathematics with Applications, vol. 35, no. 6, pp. 65–71, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  19. B. G. Zhang, “Oscillation of first order neutral functional-differential equations,” Journal of Mathematical Analysis and Applications, vol. 139, no. 2, pp. 311–318, 1989. View at Publisher · View at Google Scholar · View at MathSciNet