Solving one pseudo-Volterra integral equation

Show simple item record Kosmakova, M.T. Akhmanova, D.M. Iskakov, S.A. Tuleutaeva, Zh.M. Kasymova, L.Zh. 2019-05-08T09:47:27Z 2019-05-08T09:47:27Z 2019
dc.identifier.citation Solving one pseudo-Volterra integral equation /M.T. Kosmakova, D.M. Akhmanova, S.A. Iskakov, Zh.M. Tuleutaeva, L.Zh. Kasymova //Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2019.- №1.-Р.72-77 ru_RU
dc.identifier.issn 2518-7929
dc.identifier.issn 2663–5011
dc.description.abstract In this paper, we study the solvability of a second-kind pseudo-Volterra integral equation. 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. The solution of the homogeneous integral equation corresponding to the original nonhomogeneous integral equation found in explicit form. Special cases of a homogeneous integral equation and its solutions are written for different values of the parameter k. Classes are indicated in which the integral equation has a solution. Singular integral equations were considered in works [1–3]. Their kernels were also ¾incompressible¿, but kernels had an another form. In this connection, the weight classes of the solution existence differ from the class of the solution existence for the equation considered in this work. ru_RU
dc.language.iso en ru_RU
dc.publisher Ye.A.Buketov Karaganda State University Publ. ru_RU
dc.relation.ispartofseries Bulletin of the Karaganda University. Mathematics Series.;№1(93)/2019
dc.subject kernel ru_RU
dc.subject integral operator ru_RU
dc.subject class of essentially bounded functions ru_RU
dc.subject Laplace transformation ru_RU
dc.title Solving one pseudo-Volterra integral equation ru_RU
dc.title.alternative Решение одного псевдо-Вольтеррового интегрального уравнения ru_RU
dc.title.alternative Псевдо-Вольтерраның интегралдық теңдеуінің шешілуі ru_RU
dc.type Article ru_RU

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