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Issue 4
Jul.  2019
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LI Ji-meng. Oscillation of second-order generalized Emden-Fowler-type differential equations[J]. Journal of East China Normal University (Natural Sciences), 2019, (4): 11-18. doi: 10.3969/j.issn.1000-5641.2019.04.002
Citation: LI Ji-meng. Oscillation of second-order generalized Emden-Fowler-type differential equations[J]. Journal of East China Normal University (Natural Sciences), 2019, (4): 11-18. doi: 10.3969/j.issn.1000-5641.2019.04.002

Oscillation of second-order generalized Emden-Fowler-type differential equations

doi: 10.3969/j.issn.1000-5641.2019.04.002
  • Received Date: 2018-05-05
  • Publish Date: 2019-07-25
  • The oscillatory behavior of a class of second-order generalized Emden-Fowler-type nonlinear variable delay neutral functional differential equations is studied in this article. By using the generalized Riccati transformation and some analytic techniques, we establish two new oscillation criteria for the equations under the condition $ \int_{t_0 }^{+\infty } a^{-1/\beta }(t)\mathrm {d}t<+\infty $. Illustrative examples are provided to show that our results extend and improve those previously reported in the literature, and the results are both practical and implementable.
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    AGARWAL R P, BOHNER M, LI T X, et al. Oscillation of second-order Emden-Fowler neutral delay differential equations[J]. Annali di Matematica Pura ed Applicata, 2014, 193(6):1861-1875. doi:  10.1007/s10231-013-0361-7
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