2011Journal of Lanzhou University of TechnologyRequires access

Non-normal inverse Riemann-Hilbert boundary value problems for analytic functions

Yan Sheng-yong

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Abstract

The general mathematical formulation of non-normal inverse Riemann-Hilbert boundary value problems for analytic functions was given.On the basis of transferring these inverse boundary value problems into Riemann-Hilbert boundary value problems of non-normal type and correlative theory of non-normal Riemann boundary value problems for analytic functions,the solvability of the boundary value problems was discussed.Their solvable conditions and the representations of the solutions were given.

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The general mathematical formulation of non-normal inverse Riemann-Hilbert boundary value problems for analytic functions was given.On the basis of transferring these inverse boundary value problems into Riemann-Hilbert boundary value problems of non-normal type and correlative theory of non-normal Riemann boundary value problems for analytic functions,the solvability of the boundary value problems was discussed.Their solvable conditions and the representations of the solutions were given.

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Available abstract

The general mathematical formulation of non-normal inverse Riemann-Hilbert boundary value problems for analytic functions was given.On the basis of transferring these inverse boundary value problems into Riemann-Hilbert boundary value problems of non-normal type and correlative theory of non-normal Riemann boundary value problems for analytic functions,the solvability of the boundary value problems was discussed.Their solvable conditions and the representations of the solutions were given.

Key concepts: Mathematics, Boundary value problem, Mathematical analysis, Inverse, Riemann hypothesis, Boundary values, Analytic function, Inverse problem

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