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Oscillation Criteria of Impulsive Partial Difference Equations

Year 2013, Volume 1, 2013, 24 - 37, 26.05.2016

Figen Ozpınar Zeynep Fidan Koçak Ömer Akın

Abstract

In this paper, some oscillation criteria of certain impulsive partial difference equations with continuous variables are established.

Keywords

Partial difference equation; Impulsive PDEs; Oscillation; Continuous Variables

References

  • R.P. Agarwal. Difference Equations and Inequalities. Marcel Dekker, New York, 1992.
  • R.P. Agarwal, F. Karakoc. Oscillation of impulsive partial difference equations with continuous variables. Math. Comput. Modelling, vol. 50, pp. 1262–1278, (2009).
  • D.D. Ba˘ınov, M.B. Dimitrova, A.B. Dishlies. Oscillation of bounded solutions of impulsive differential–difference of second order. Appl. Math. Comput., vol. 114, pp. 61–68, (2000).
  • D.D. Ba˘ınov, P.S. Simeonov. Impulsive Differential Equations Asymtotic Properties of the Solutions. World Scientific, Singapore, 1995.
  • B.T. Cui, Y. Liu. Oscillatory for partial difference equations with continuous variables. J. Comput. Appl. Math., vol. 154, pp. 373–391, (2003).
  • V. Lakshmikantham, D.D. Ba˘ınov and P.S. Simeonov. Theory of Impulsive Differential Equations. World Scientific, Singapore, 1998.
  • E. Minchev. Oscillation of solutions of impulsive nonlinear hyperbolic differential–difference equations. Math. Balcanica, vol. 12, no. 1–2, pp.215–224 , (1998).
  • B.G. Zhang. Oscillation criteria of partial difference equations with continuous variables. Acta Math. Sinica, vol. 42, no. 3, pp. 487–494, (1999) (in Chinese).
  • B.G. Zhang, B.M. Liu. Oscillation criteria of certain nonlinear partial difference equations. Comput. Math. Appl., vol. 38, pp. 107–112, (1999).
  • B.G. Zhang, B.M. Liu. Necessary and sufficient conditions for oscillation of partial difference equations with continuous variables. Comput. Math. Appl., vol. 38, pp. 163–167, (1999).
  • B.G. Zhang, Y.H. Wang. Oscillation theorems for certain delay partial difference equation. Appl. Math. Letters, vol. 19, pp. 639–646, (2006).
  • B.G. Zhang, Y. Zhou. Qualitative Analysis of Delay Partial Difference Equations. Hindawi Publishing Corporation, New York, 2007.

Year 2013, Volume 1, 2013, 24 - 37, 26.05.2016

Figen Ozpınar Zeynep Fidan Koçak Ömer Akın

Abstract

References

  • R.P. Agarwal. Difference Equations and Inequalities. Marcel Dekker, New York, 1992.
  • R.P. Agarwal, F. Karakoc. Oscillation of impulsive partial difference equations with continuous variables. Math. Comput. Modelling, vol. 50, pp. 1262–1278, (2009).
  • D.D. Ba˘ınov, M.B. Dimitrova, A.B. Dishlies. Oscillation of bounded solutions of impulsive differential–difference of second order. Appl. Math. Comput., vol. 114, pp. 61–68, (2000).
  • D.D. Ba˘ınov, P.S. Simeonov. Impulsive Differential Equations Asymtotic Properties of the Solutions. World Scientific, Singapore, 1995.
  • B.T. Cui, Y. Liu. Oscillatory for partial difference equations with continuous variables. J. Comput. Appl. Math., vol. 154, pp. 373–391, (2003).
  • V. Lakshmikantham, D.D. Ba˘ınov and P.S. Simeonov. Theory of Impulsive Differential Equations. World Scientific, Singapore, 1998.
  • E. Minchev. Oscillation of solutions of impulsive nonlinear hyperbolic differential–difference equations. Math. Balcanica, vol. 12, no. 1–2, pp.215–224 , (1998).
  • B.G. Zhang. Oscillation criteria of partial difference equations with continuous variables. Acta Math. Sinica, vol. 42, no. 3, pp. 487–494, (1999) (in Chinese).
  • B.G. Zhang, B.M. Liu. Oscillation criteria of certain nonlinear partial difference equations. Comput. Math. Appl., vol. 38, pp. 107–112, (1999).
  • B.G. Zhang, B.M. Liu. Necessary and sufficient conditions for oscillation of partial difference equations with continuous variables. Comput. Math. Appl., vol. 38, pp. 163–167, (1999).
  • B.G. Zhang, Y.H. Wang. Oscillation theorems for certain delay partial difference equation. Appl. Math. Letters, vol. 19, pp. 639–646, (2006).
  • B.G. Zhang, Y. Zhou. Qualitative Analysis of Delay Partial Difference Equations. Hindawi Publishing Corporation, New York, 2007.
There are 12 citations in total.

Details

Other ID JA22TK67SC
Journal Section Articles
Authors

Figen Ozpınar This is me

Zeynep Fidan Koçak This is me

Ömer Akın This is me

Publication Date May 26, 2016
Published in Issue Year 2013 Volume 1, 2013

Cite

APA Ozpınar, F., Koçak, Z. F., & Akın, Ö. (2016). Oscillation Criteria of Impulsive Partial Difference Equations. Turkish Journal of Mathematics and Computer Science, 1, 24-37.
AMA Ozpınar F, Koçak ZF, Akın Ö. Oscillation Criteria of Impulsive Partial Difference Equations. TJMCS. May 2016;1:24-37.
Chicago Ozpınar, Figen, Zeynep Fidan Koçak, and Ömer Akın. “Oscillation Criteria of Impulsive Partial Difference Equations”. Turkish Journal of Mathematics and Computer Science 1, May (May 2016): 24-37.
EndNote Ozpınar F, Koçak ZF, Akın Ö (May 1, 2016) Oscillation Criteria of Impulsive Partial Difference Equations. Turkish Journal of Mathematics and Computer Science 1 24–37.
IEEE F. Ozpınar, Z. F. Koçak, and Ö. Akın, “Oscillation Criteria of Impulsive Partial Difference Equations”, TJMCS, vol. 1, pp. 24–37, 2016.
ISNAD Ozpınar, Figen et al. “Oscillation Criteria of Impulsive Partial Difference Equations”. Turkish Journal of Mathematics and Computer Science 1 (May 2016), 24-37.
JAMA Ozpınar F, Koçak ZF, Akın Ö. Oscillation Criteria of Impulsive Partial Difference Equations. TJMCS. 2016;1:24–37.
MLA Ozpınar, Figen et al. “Oscillation Criteria of Impulsive Partial Difference Equations”. Turkish Journal of Mathematics and Computer Science, vol. 1, 2016, pp. 24-37.
Vancouver Ozpınar F, Koçak ZF, Akın Ö. Oscillation Criteria of Impulsive Partial Difference Equations. TJMCS. 2016;1:24-37.