SOLVING OF SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER BY MEANS OF THE METHOD OF ADDITIONAL ARGUMENT
11.11.2023
International Scientific Journal "Science and Innovation". Series A. Volume 2 Issue 11
Ashirbayeva Aizharkyn Zhorobekovna, Bekieva Malika Raimjonovna
Abstract. The application of the method of additional argument to a system of high-order partial integro-differential equations is relevant. Kyrgyz scientists have considered applications of this method to a system of partial differential equations of first order. In this paper, the system of partial integro-differential equations of the second order with initial conditions is reduced to a system of integral equations.
Keywords: method of additional argument, system of equations, second order, partial derivatives, initial problem, integral equation, contraction.
References:
1. Imanaliev M.I., Alekseenko S.N. Contribution to theory of systems of partial differential equations of Whitham type, Russian Academy of Sciences. Doklady. Mathematics, 1992, vol. 325, No. 6, pp. 1111-1115.
2. Ashirbaeva A.J., Mambetov Zh.I. Solving of integro-differential equations by the method of additional argument (in Russian). Bulletin of OshSU, special issue, 2013, No. 1, pp. 91-94.
3. Ashirbaeva A.J., Mambetov Zh.I. Method of additional argument for system of non-linear partial differential equations of the first order with many variables (in Russian). Science, new technologies and innovations of Kyrgyzstan. Bishkek, 2017, No. 5, pp. 87-90.
![](images/google_scholar.png)
![](images/cyberleninka_logo.png)