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On the Darboux problem involving the distributional Henstock–Kurzweil integral

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In this paper, we apply the method associated with the technique of measure of noncompactness and the Darbo fixed point theorem to study the existence of solutions of the Darboux… Click to show full abstract

In this paper, we apply the method associated with the technique of measure of noncompactness and the Darbo fixed point theorem to study the existence of solutions of the Darboux problem involving the distributional Henstock–Kurzweil integral. Meanwhile, an example is provided to illustrate our results.

Keywords: kurzweil integral; problem involving; henstock kurzweil; distributional henstock; darboux problem; involving distributional

Journal Title: Boundary Value Problems
Year Published: 2018

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