Solution of inhomogeneous systems for differential equations in private derivatives of the third order

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dc.contributor.author Tasmambetov, Zh.N.
dc.contributor.author Ubayeva, Zh.K.
dc.date.accessioned 2020-10-22T06:55:07Z
dc.date.available 2020-10-22T06:55:07Z
dc.date.issued 2020-06-30
dc.identifier.citation Tasmambetov Zh.N. Solution of inhomogeneous systems for differential equations in private derivatives of the third order/Zh.N. Tasmambetov, Zh.K. Ubayeva//Қарағанды университетінің хабаршысы. Математика сериясы = Вестник Карагандинского университета. Серия Математика = Bulletin of the Karaganda university. Mathematics Series. -2020. №2. Р.153-164. ru_RU
dc.identifier.uri http://rep.ksu.kz/xmlui/handle/data/9969
dc.description.abstract The possibilities of constructing inhomogeneous system solutions for partial differential equations of the third order have been studied. The construction of general and particular solutions corresponding to homogeneous system comprehensively investigated by using Frobenius-Latysheva method. Type of solutions near the special curves are established. The number of linearly independent partial solutions is determined. A theorem on the representation a general solution of inhomogeneous system is proved, and the application of uncertain coefficients method for such systems is revealed. On a concrete example, it is shown that the particular solutions of the inhomogeneous system constructed in this way are solutions of one inhomogeneous third-order equation obtained by adding the two equations of the considered example. One of particular solutions corresponding to homogeneous system relates to degenerate generalized hypergeometric series of Clausen type with two variables. Properties of generalized hypergeometric series are still poorly understood. ru_RU
dc.language.iso en ru_RU
dc.publisher KSU Publ. ru_RU
dc.relation.ispartofseries Қарағанды университетінің хабаршысы. Математика сериясы = Вестник Карагандинского университета. Серия Математика = Bulletin of the Karaganda university. Mathematics Series.;№2(98)/2020
dc.subject inhomogeneous system ru_RU
dc.subject regular solution ru_RU
dc.subject singularity ru_RU
dc.subject method of undetermined coefficients ru_RU
dc.subject system ru_RU
dc.subject equations ru_RU
dc.subject theorem ru_RU
dc.title Solution of inhomogeneous systems for differential equations in private derivatives of the third order ru_RU
dc.title.alternative Дербес туындылы үшінші ретті дифференциалдық біртекті емес жүйелер шешімі ru_RU
dc.title.alternative Решение неоднородных систем дифференциальных уравнений в частных производных третьего порядка ru_RU
dc.type Article ru_RU


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