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Zeitschrift für Analysis und ihre Anwendungen


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Volume 14, Issue 3, 1995, pp. 497–508
DOI: 10.4171/ZAA/635

Published online: 1995-09-30

On a Class of Nonlinear Convolution Equations

Lothar von Wolfersdorf and Jaan Janno[1]

(1) Tallin Technical University, Estonia

By means of weighted norms existence and uniqueness theorems are proved for some classes of nonlinear convolution equations in Lebesgue spaces $L_p$ and spaces $C$ of continuous functions. The applicability of the theorems is shown by examples

Keywords: Nonlinear convolution equations, Volterra integral equations, integro-differential equations

von Wolfersdorf Lothar, Janno Jaan: On a Class of Nonlinear Convolution Equations. Z. Anal. Anwend. 14 (1995), 497-508. doi: 10.4171/ZAA/635