# On a pseudo-Volterra nonhomogeneous integral equation

 dc.contributor.author Kosmakova, M.T. dc.contributor.author Akhmanova, D.M. dc.contributor.author Tuleutaeva, Zh.M. dc.contributor.author Kasymova, L.Zh. dc.date.accessioned 2019-08-19T10:53:26Z dc.date.available 2019-08-19T10:53:26Z dc.date.issued 2019-06-28 dc.identifier.citation Kosmakova, M.T. On a pseudo-Volterra nonhomogeneous integral equation / M.T. Kosmakova, D.M. Akhmanova, Zh.M. Tuleutaeva [et al.] // Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика.=Bulletin of the Karaganda University. Mathematics Series. – 2019. - № 2. – P. 48-55. ru_RU dc.identifier.issn 2518-7929 dc.identifier.issn 2663-5011 dc.identifier.uri http://rep.ksu.kz//handle/data/7269 dc.description.abstract In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1]. By replacing the right-hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not ¾compressible¿. Using the Laplace transform, the obtained equation is reduced to an ordinary first-order differential equation (linear). Its solution is found. By using the solution of the homogeneous equation the form of a particular solution of the nonhomogeneous differential equation is defined (by the variation method of an arbitrary constant). By using the inverse Laplace transform, a particular solution of the pseudo-Volterra nonhomogeneous integral equation under study is obtained. The case of an nonhomogeneous integral equation with the value of the parameter k = 1 is considered and studied. Classes for the right side and the solution of the integral equation are indicated. ru_RU dc.language.iso en ru_RU dc.publisher Ye.A.Buketov Karaganda State University Publishing house ru_RU dc.relation.ispartofseries Қарағанды универисетінің хабаршысы. Математика Сериясы.=Вестник Карагандинского университета. Серия Математика.=Bulletin of the Karaganda University. Mathematics Series.;№ 2(94)/2019 dc.subject pseudo-Volterra nonhomogeneous integral equation ru_RU dc.subject class of essentially bounded functions ru_RU dc.subject inverse Laplace transformation ru_RU dc.subject residue ru_RU dc.title On a pseudo-Volterra nonhomogeneous integral equation ru_RU dc.title.alternative Біртекті емес псевдо-Вольтерра интегралдық теңдеуі туралы ru_RU dc.title.alternative Об одном псевдо-Вольтерровом неоднородном интегральном уравнении ru_RU dc.type Article ru_RU
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