ORDINARY DIFFERENTIAL EQUATIONS WITH DELAYED ARGUMENTS

Authors

  • S.Kh. Kholikov Department of Mathematics, Navoi State University Associate Professor
  • N. Sh. Sadullayev Master’s Student, Asian International University

DOI:

https://doi.org/10.55640/

Keywords:

delayed argument, ordinary differential equation, function

Abstract

This article presents proposals and recommendations regarding ordinary differential equations with delayed arguments and methods for their solution.

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References

1.J. K. Hale, Theory of Functional Differential Equations (Springer-Verlag, New York-Heidelberg-Berlin, 1977).

2.O. Arino and I. Ciyöri, Necessary and sufficient condition for oscillation of a neutral differential system with several delays, J. Differential Equations 81 (1989), 98–105.

3.A. R. Aftabizadeh, J. Wiener, and J.-M. Xu, Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proc. Amer. Math. Soc. 99 (1987), 673–679.

4.J. Wiener and K. L. Cooke, Oscillations in systems of differential equations with piecewise constant argument, J. Math. Anal. Appl. 137 (1989), 221–239.

5.J. Wiener and L. Debnath, Partial differential equations with piecewise constant delay, Int. J. Math. and Math. Sci. 14 (1991), 485–496.

6.Y. Kitamura and T. Kusano, Oscillation of first-order nonlinear differential equations with deviating argument, Proc. Amer. Math. Soc. 78 (1980), 64–68.

7.Huseyin Bereketoglua and Mehtap Lafcia, Behavior of the solutions of a partial differential equation with a piecewise constant argument, Filomat 31:19 (2017), 5931–5943. https://doi.org/10.2298/FIL1719931B

8.Kh. Kh. Turdiev, M. O. Rajabova, S. X. Xolikov, B. T. Karamatov, Direct and inverse coefficient problems for a fractional diffusion-wave equation with Riemann–Liouville derivative in time, Izvestiya Zavedeniy. Matematika, 2025, No. 11, https://doi.org/10.26907/0021-3446-2025-11-70-82

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Published

2025-12-15

How to Cite

ORDINARY DIFFERENTIAL EQUATIONS WITH DELAYED ARGUMENTS. (2025). Journal of Multidisciplinary Sciences and Innovations, 4(11), 1944-1945. https://doi.org/10.55640/

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