Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 40 Issue: 2

Comparison Criteria for the Oscillation of Mixed-Type Impulsive Difference Equations with Continuous Arguments ABSTRACT | FULL TEXT

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Yayın Tarihi
2011-02-01
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Bu Makaleye Atıf Yap

Karpuz, B., Öcalan, Ö., Öztürk, S. (2011). Comparison Criteria for the Oscillation of Mixed-Type Impulsive Difference Equations with Continuous Arguments ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 2. https://ajindex.com/articles/1403648

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Kaynakça (8)

  1. Gyo˝ri, I and Ladas, G. Oscillation Theory of Delay Differential Equations with Applications (Clarendon Press, Oxford, 1991).
  2. Karpuz, B., ¨Ocalan, ¨O. and ¨Oztu¨rk, S. Oscillation of first-order impulsive difference equations with continuous arguments, J. Comput. Anal. Appl. 12 (2), 539–543, 2010.
  3. Ladas, G., Pakula, L. and Wang, Z. Necessary and sufficient conditions for the oscillation of difference equations, Panamer. Math. J. 2 (1), 17–29, 1992.
  4. Li, X. and Zhu, D. Comparison theorems of oscillation and nonoscillation for neutral difference equations with continuous arguments, Commun. Pure Appl. Anal. 2 (4), 579–589, 2003.
  5. Shen, J.H. Comparison theorems for the oscillation of difference equations with continuous arguments and applications, Chinese Sci. Bull. 41 (18), 1506–1510, 1996.
  6. Wei, G.P. and Shen, J.H. Oscillation of solutions of impulsive difference equations with continuous variable, Math. Appl. (Wuhan) 18 (2), 293–296, 2005.
  7. Wei, G.P. and Shen, J.H. Persistence of nonoscillatory solutions for difference equations under impulsive perturbations, Acta Math. Sci. Ser. A Chin. Ed. 26 (4), 595–600, 2006.
  8. Yan, J. and Zhao, A. Oscillation and stability of linear impulsive delay differential equations, J. Math. Anal. Appl. 227(1), 187–194, 1998.