On a Class of Multilinear Operator Equations | Zendy

Jaan Janno | Zendy; Lothar von Wolfersdorf | Zendy

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On a Class of Multilinear Operator Equations

Author(s) -

Jaan Janno,

Lothar von Wolfersdorf

Publication year - 1996

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/738

Subject(s) - multilinear map , class (philosophy) , operator (biology) , mathematics , algebra over a field , pure mathematics , computer science , artificial intelligence , biology , biochemistry , repressor , transcription factor , gene

By means of contraction principle in a Banach space E with a scale of norms I 110 (a > 0) existence, uniqueness and stability of solutions are proved for a general class of operator equations u + Gou + Gju = g including multilinear ones where C O3 G 1 E (E E) are some operators. The theorems are applicable to equations with operators of generalized convolution type.

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