The problem of generalized Green matrices

V. M. Zubov

Omsk Polytechnic Institute

Abstract: Azbelev's $W$-method is used for the construction of the theory of the generalized Green matrices. In this way one finds a class of matrices which preserve the form of the solution of the boundary value problem with a well-defined right-hand side in the case when this problem is uniquely solvable.

UDC: 517.9

Received: 07.02.1972

 English version: Mathematical Notes, 1974, 15:1, 62–66

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