Geodesic
A procedure for determining necessary and sufficient conditions for the existence of a solution to the multi-index problem
Applications of Mathematics, Tome 19 (1974) no. 3, pp. 177-183.

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A procedure is given which will give the necessary and sufficient conditions for the existence of a solution to the multi-index problem of any given dimensions. It is shown that the number of such conditions is finite, and that the conditions provide lower bounds to functions of the unknowns of the problem.
DOI : 10.21136/AM.1974.103528
Classification : 90C05 
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Smith, Graham. A procedure for determining necessary and sufficient conditions for the existence of a solution to the multi-index problem. Applications of Mathematics, Tome 19 (1974) no. 3, pp. 177-183. doi : 10.21136/AM.1974.103528. http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103528/

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