The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen

Full-Text PDF (947 KB) | Metadata | Table of Contents | ZAA summary
Volume 15, Issue 4, 1996, pp. 935–948
DOI: 10.4171/ZAA/738

Published online: 1996-12-31

On a Class of Multilinear Operator Equations

Jaan Janno[1] and Lothar von Wolfersdorf

(1) Tallin Technical University, Estonia

By means of contraction principle in a Banach space $E$ with a scale of norms $\| \cdot \|_{\sigma} (\sigma ≥ 0)$ existence, uniqueness and stability of solutions are proved for a general class of operator equations $u + G_0u + G_1u = g$ including multilinear ones where $G_0, G_1 \in (E \to E)$ are some operators. The theorems are applicable to equations with operators of generalized convolution type.

Keywords: Nonlinear operator equations, scale of norms, existence, stability

Janno Jaan, von Wolfersdorf Lothar: On a Class of Multilinear Operator Equations. Z. Anal. Anwend. 15 (1996), 935-948. doi: 10.4171/ZAA/738