INVESTIGATION OF SOLUTIONS OF PARTIAL INTEGRO-DIFFERENTIAL EQUATION OF FOURTH ORDER BY MEANS OF A NEW WAY Текст научной статьи по специальности «Математика»
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Ключевые слова
integro-differential /
partial derivatives /
additional argument method /
initial problem /
integral equation /
contraction mapping principle /
fourth order
Аннотация научной статьи по математике, автор научной работы — Ai. Ashirbayeva, Ch. Zholdoshova
This article discusses the partial integro-differential equation of fourth order. To solve the problem, a new method is used, with the help of which we will bring the partial integro-differential equation of fourth order to a form convenient for using the additional argument method. The initial problem for a fourth-order equation is first reduced to a system of second-order partial differential equations. And the system of equations in partial derivatives of the second order is reduced by the method of an additional argument to a system of integral equations, for which the principle of compressive reflections is applied.
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Текст научной работы на тему «INVESTIGATION OF SOLUTIONS OF PARTIAL INTEGRO-DIFFERENTIAL EQUATION OF FOURTH ORDER BY MEANS OF A NEW WAY»
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