# Solving one pseudo-Volterra integral equation

 dc.contributor.author Kosmakova, M.T. dc.contributor.author Akhmanova, D.M. dc.contributor.author Iskakov, S.A. dc.contributor.author Tuleutaeva, Zh.M. dc.contributor.author Kasymova, L.Zh. dc.date.accessioned 2019-05-08T09:47:27Z dc.date.available 2019-05-08T09:47:27Z dc.date.issued 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.identifier.uri http://rep.ksu.kz//handle/data/5724 dc.description.abstract In this paper, we study the solvability of a second-kind pseudo-Volterra integral equation. By replacing the ru_RU 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. 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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