Abstract

The concept of stability of continuous extension of mappings with respect to a Nemytskii superposition operator is studied. Sufficient conditions of such stability with respect to a Nemytskii superposition operator are obtained. The essentiality of the corresponding assumptions is illustrated by examples.

中文翻译：

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关于Nemytskii算子的映射的连续扩展的稳定性

摘要

研究了关于Nemytskii叠加算子的映射连续扩展的稳定性的概念。获得了关于Nemytskii叠加算子的充分稳定性的条件。举例说明了相应假设的必要性。