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Erschienen in:
Francis K. A. Allotey (Saltpond, Ghana 9 August 1932 – Accra, Ghana 2 November 2017) Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

Well-posed Boundary Value Problems for New Classes of Singular Integral Equations in Cylindrical Domains

verfasst von : Nusrat Rajabov

Erschienen in: Analysis and Partial Differential Equations: Perspectives from Developing Countries

Verlag: Springer International Publishing

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Abstract

In this work a class of three-dimensional complex integral equation in cylindrical domains is investigated in the case when the lateral surface may have singularity or super-singularity. For this type of integral equations condition for kernels are found under which the problem of finding solution is reduced to the problem of finding two splitting systems of integral equations which can be treated by existing methods. In this case the solution are obtained in an explicit form. In the case of more general kernels the, inversion formula is found in terms of the values on the surface of the cylinder. In model cases the solution of the integral equation is found in the form of absolutely and uniformly convergent generalised power series in powers of \((t-a)\) and the inversion formula is presented. It is used to investigate further Dirichlet-type boundary problems.

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Vorheriges Kapitel Shannon Sampling and Weak Weyl’s Law on Compact Riemannian Manifolds
Nächstes Kapitel Weighted Stepanov-Like Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
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Rajabov, N.: An explicit solution to a class of a second kind linear systems of complex integral equations with singular and super-singular kernel(Abstract). In: Functional–Analytic and Complex Methods, their Interactions, and Applications to Partial Differential Equations, pp. 329–332. World Scientific (2001)
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Metadaten
Titel
Well-posed Boundary Value Problems for New Classes of Singular Integral Equations in Cylindrical Domains
verfasst von
Nusrat Rajabov
Copyright-Jahr
2019
Buch
Analysis and Partial Differential Equations: Perspectives from Developing Countries

Print ISBN: 978-3-030-05656-8

Electronic ISBN: 978-3-030-05657-5

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-05657-5_14