The Stability of the Riemann Boundary Value Problem for Vector Valued M-Analytic Functions
In this paper, certain boundary value problems are solved in a Banach space which is defined by vector-valued regular solutions of the systemm f x + M f y = 0 of elliptic partial differential equations, where M is a constant m × m matrix without real eigenvalues and f is an m × q matrix. The properties of the integral of Cauchy type for vector-valued M-analytic functions are discussed. Next, the representation of the solutions of the Riemann boundary value problem and its pertubed problem for vector-valued M-analytic functions are presented.
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