Oscillation Criteria for Solutions of First Order Advanced Differential Equations with Monotone Arguments

References

[1] Shampine, L. F and Thampson, S. (2000). Solving Delay Differential Equations with dde23 Southern Method University.

[2] Chatzarakis, G. E. and Li, T. (2018), Oscillation criteria for delay and advanced differential equation with nonmonotone arguments; Complexity. Vol. 2018, 1-18. Wiley

[3] Chatzarakis, G. E. and Li, T. (2017), Oscillation of differential equations generated by several deviating arguments; Advances in Difference Equations. Vol. 2017, 1-24.

[4] Chatzarakis, G. E and Ocalan, O. (2016), Oscillation of differential equation with non-monotone retarded arguments; LMS Journal of Computation and Mathematics. Vol. 19(1) pp. 98-104. Cambridge

[5] El-Morshedy, H. and Attia, E. R. (2016), New oscillation criteria for delay differential equation with non-monotone arguments; Applied Mathematics Letters, 54(2016), 54-59.

[6] Lakshmikantham, V. (1991), Oscillation criteria for order differential equation with deviating argument; Journal of Mathematical Analysis and Application. 155(1991), 572-588.

[7] Moremedi, M. G. Stavrouslakis, I. P. (2018), A survey on the oscillation of differential equations with several non-monotone arguments; Applied Mathematics and Information Sciences. No. 5(2018), 1047-1053.

[8] Chatzarakis, G. E. (2016), Differential Equation with non-monotone argument iterative oscillation results; Journal of Math Computer Science 6(2016), 953-964. J. Math. Comput. Sci.

[9] Braverman, E. and Karpruz, B. (2011), On oscillation of differential and difference equation with non-monotone delay; Applied Mathematical Computation. Vol. 218 1(2011), 3880-3887.

[10] Akca, H., Chatzarakis, G. E. and Stavrouslakis, I.P (2016), Oscillation criteria for delay differential equations with several non-monotone arguments: Applied Mathematics Letters 59(2016) 101-108. ScienceDirect

[11] Attia, E. and El-Matary B. (2023), New explicit oscillation criteria for first order differential equations with several non-monotone delays; Mathematics. 11 (6), 1-14.

[12] Kwong, K. M. (1991), Oscillation of first-order delay equation; Journal of Mathematical Analysis and Application. 156(1991), 274-286.

[13] Stavroulakis, P. I. (2016), A survey of on the oscillation of delay and difference equation ith several monotone or non-monotone arguments; Far East Journal of Mathematical Science, Vol. 99 12(2016), 1931-1946.

[14] Chatzarakis, G. E. and Li, T. (2017), Oscillation of differential equations generated by several deviating arguments; Advances in Difference Equations. Vol. 2017, 1-24.

[15] Stavroulakis, I. P., Zhunussova, Z. K., Zhunussova, L. K. and Dosmangulova, K. (2020), Oscillation criteria for delay equations with several non-monotone arguments; Nonlinear Dynamics Systems Theory 20 (1) (2020) 107-118.

[16] Garab, A. and Stavroulakis, I. P. (2020) Oscillation criteria for first-order linear delay differential equations with several variable delays. Applied mathematics Letters. ScienceDirect

@article{1723714,
      author = {A. A. Abubakar, Ahmed. A. Ibrahim},
      title = {Oscillation Criteria for Solutions of First Order Advanced Differential Equations with Monotone Arguments},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {4},
      pages = {383-388},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1723714.pdf},
      abstract = {This study considered the oscillation criteria for solutions of first order advanced differential equations with monotone argument the condition for oscillation of ADEs with monotone argument were established. We employed the method of Chatzarakis and Li to improve the first order ADEs to monotone argument. The result obtained concludes that the oscillation of first order first order advanced is also oscillatory when the value of   is large enough. Therefore, it is recommended for further modification on our criteria so that it can accommodate higher order delay and advanced differential equation.},
      keywords = {Advanced Differential Equation, Criteria, Chatzarakis and Li, Differential Equation},
      month = {October},
  }