Integrodiffferential equations of volterra type with non local and impulsive conditions

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS(2021)

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摘要
This work is devoted to the study of a class of nonlocal impulsive integrodifferential equations of Volterra type. We investigate the situation when the resolvent operator corresponding to the linear part of (1) is norm continuous. Our results are obtained by using noncompactness Hausdorff measure and fixed point theorems. An example is provided to illustrate the basic theory of this work.
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关键词
operator norm continuity, Monch's fixed point, resolvent operator, integrodifferential equations
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