On a Class of Nonlinear Convolution Equations

On a Class of Nonlinear Convolution Equations
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DOI:
10.4171/zaa/635
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发表时间:
1995-09
影响因子:
1.2
通讯作者:
L. Wolfersdorf;J. Janno
L. Wolfersdorf;J. Janno
中科院分区:
数学4区
文献类型:
--
作者:
L. Wolfersdorf;J. Janno

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利用加权范数,在连续函数的勒贝格空间、L空间和C空间中证明了几类非线性卷积方程解的存在唯一性定理。通过算例说明了这些定理的适用性。
By means of weighted norms existence and uniqueness theorems are proved for some classes of nonlinear convolution equations in Lebesgue spaces L and spaces C of continuous functions. The applicability of the theorems is shown by examples.