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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 41 Issue: 5

Some Oscillation Results for Second-Order Neutral Dynamic Equations

Tongxing Li
Ravi P. Agarwal
Martin Bohner
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Yayın Tarihi
2012-05-01
DOI
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Li, T., Agarwal, R. P., Bohner, M. (2012). Some Oscillation Results for Second-Order Neutral Dynamic Equations. Hacettepe Journal of Mathematics and Statistics, Volume: 41 Issue: 5. https://ajindex.com/articles/1403524

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Kaynakça (15)

  1. Agarwal, R. P., Bohner, M. and Grace, S. R. On the oscillation of second-order half-linear dynamic equations, J. Difference Equ. Appl. 15 (5), 451–460, 2009.
  2. Agarwal, R. P., Bohner, M., Grace, S. R. and O’Regan, D. Discrete Oscillation Theory (Hindawi Publishing Corporation, New York, 2005).
  3. Agarwal, R. P., Bohner, M., Grace, S. R. and O’Regan, D. Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations, Commun. Nonlinear Sci. Numer. Simul. 14 (8), 3463–3471, 2009.
  4. Agarwal, R. P., Bohner, M. and Li, W. -T. Nonoscillation and oscillation: theory for func- tional differential equations(Monographs and Textbooks in Pure and Applied Mathematics 267, Marcel Dekker Inc., New York, 2004).
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  6. Agarwal, R. P., Grace, S. R. and O’Regan, D. The oscillation of certain higher-order func- tional differential equations, Math. Comput. Modelling 37 (7-8), 705–728, 2003.
  7. Akın-Bohner, E., Bohner, M and Saker, S. H. Oscillation criteria for a certain class of second order Emden–Fowler dynamic equations, Electron. Trans. Numer. Anal. 27, 1–12, 2007.
  8. Bohner, M. and Peterson, A. Dynamic equations on time scales (Birkh¨auser Boston Inc., Boston, MA, 2001) An introduction with applications.
  9. Bohner, M and Peterson, A. Advances in Dynamic Equations on Time Scales (Birkh¨auser, Boston, 2003).
  10. Grace, S., Bohner, M. and Liu, A. On Kneser solutions of third-order delay dynamic equa- tions, Carpathian J. Math. 26 (2), 184–192, 2010.
  11. Grace, S. Bohner, M. and Sun, S. Oscillation of fourth-order dynamic equations, Hacet. J. Math. Stat. 39 (4), 545–553, 2010.
  12. Li, T., Agarwal, R. P. and Bohner, M. Some oscillation results for second-order neutral differential equations, J. Indian Math. Soc. 79 (1-4), 97–106, 2012.
  13. Li, T., Han, Z., Zhang, C. and Li, H. Oscillation criteria for second-order superlinear neutral differential equations, Abstr. Appl. Anal. Art. ID 367541, 17, 2011.
  14. Saker, S. H., Agarwal, R. P. and O’Regan, D. Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales, Appl. Anal. 86 (1), 1–17, 2007.
  15. Tripathy, A. K. Some oscillation results for second order nonlinear dynamic equations of neutral type, Nonlinear Anal. 71 (12), 1727–1735, 2009.