EULER DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN VARIOUS FIELDS
DOI:
https://doi.org/10.55640/Keywords:
Euler, higher-order differential equation, physical modeling, engineering, biological processes.Abstract
This article examines the theory, general form, and solution methods of higher-order Euler differential equations. In addition, the applications of Euler equations in various scientific and engineering fields are analyzed. The article focuses on the analytical solutions of Euler equations and their significance in modeling real-world processes.
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References
J. K. Hale, Theory of Functional Differential Equations (Springer-Verlag, New York-Heidelberg-Berlin, 1977).
[2]. . 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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