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On Evolution of Invariant Riemannian MetricsRiemannian metric onGeneralized wallach space Generalized Wallach SpacesWallach space Under the Normalized Ricci FlowNormalized Ricci flow Read chapter Read first chapter

2017 | OriginalPaper | Chapter

On the Solvability of Nonhomogeneous Boundary Value Problem for the Burgers Equation in the Angular Domain and Related Integral Equations

Authors : Meiramkul M. Amangaliyeva, Muvasharkhan T. Jenaliyev, Minzilya T. Kosmakova, Murat I. Ramazanov

Published in: Functional Analysis in Interdisciplinary Applications

Publisher: Springer International Publishing

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Abstract

In this paper we consider the questions of solvability of the nonhomogeneous boundary value problem for the Burgers equation in infinite angular domain. It is reduced to the study of the solvability of a system consisting of two homogeneous integral equations. We prove some lemmas which establish properties of integral operators in weighted space of essentially bounded functions and prove the existence and properties of non-trivial solutions to the system of homogeneous integral equations. On the basis of Lemmas the solvability theorems of the nonhomogeneous boundary value problem for the Burgers equation in infinite angular domain are established.

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previous chapter Solvability of Multipoint-Integral Boundary Value Problem for a Third-Order Differential Equation and Parametrization Method
next chapter On Algorithm of Finding Solutions of Semiperiodical Boundary Value Problem for Systems of Nonlinear Hyperbolic Equations
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Metadata
Title
On the Solvability of Nonhomogeneous Boundary Value Problem for the Burgers Equation in the Angular Domain and Related Integral Equations
Authors
Meiramkul M. Amangaliyeva
Muvasharkhan T. Jenaliyev
Minzilya T. Kosmakova
Murat I. Ramazanov
Copyright Year
2017
Book
Functional Analysis in Interdisciplinary Applications

Print ISBN: 978-3-319-67052-2

Electronic ISBN: 978-3-319-67053-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-67053-9_12

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