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The Darboux problem involving the distributional Henstock–Kurzweil integral

The Darboux problem involving the distributional Henstock–Kurzweil integral

Abstract In this paper, using the Schauder Fixed Point Theorem and the Vidossich Theorem, we study the existence of solutions and the structure of the set of solutions of the Darboux problem involving the distributional Henstock–Kurzweil integral. The two theorems presented in this paper are extensions of the previous results …