Abstract

This paper discusses a nonlinear (m+n) -system with an irregular type singularity not satisfying Poincare condition. By the use of a fixed point technique devised by Prof. Masuo Hukuhara, an (m+n)-parameter family of bounded solutions is constructed. D is a sectorial domain with vertex at the origin in the comeplex plane C. The domain of holomorphy for a set of functions appearing in our fixed point technique has to be given in terms of the family of the product of (m+n) discs about x, when x moves in the domain D. The center of each disc is the origin of C and its radius depends on not only arg x but also ¦x¦.

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