Volume 5, Issue 6 (June 2018), Pages: 61-63

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 Original Research Paper

 Title: Periodic solution of a single system of differential equations in partial derivatives

 Author(s): Altinshash Bekbauova *, Aksaule Baibaktina, Bibigul Omarova, Bayan Abilmazhinova, Lida Sultangaliyeva, Gulzhan Erzhanova, Madina Tleubergenova

 Affiliation(s):

 K. Zhubanov Aktobe Regional State University, Aktobe, Kazakhstan

 https://doi.org/10.21833/ijaas.2018.06.009

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 Abstract:

The main difficulty of the Cauchy equation is that there is no domain in which the desired solution must be determined. This situation leads to the complexity of finding the answer. The study presents a solution of the Cauchy problem at any values. The achievement of the set goal will enable solving one of the key problems of gas dynamics. To that end, it is necessary to define the solution, since a solution in a classical form is nonexistent for this type of equations. We presented an algorithm for the construction of periodic, in terms of variables, solutions of the system in first order partial derivatives. The study found a sufficient condition of existence of periodic, in terms of variables, solutions in the broad sense of differential equation systems in partial derivatives. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Periodic solution, Principal matrix solution, Differential equation

 Article History: Received 30 August 2017, Received in revised form 24 March 2018, Accepted 9 April 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.06.009

 Citation:

 Bekbauova A, Baibaktina A, and Omarova B et al. (2018). Periodic solution of a single system of differential equations in partial derivatives. International Journal of Advanced and Applied Sciences, 5(6): 61-63

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I6/Bekbauova.html

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