On the Darboux problem involving the distributional Henstock–Kurzweil integral
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DOI: 10.1186/s13661-018-1097-5
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… read more here.
Keywords: kurzweil integral; problem involving; henstock kurzweil; distributional henstock ... See more keywords
Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
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DOI: 10.1515/ms-2017-0082
Abstract: Abstract In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear differential equations we examine convolution… read more here.
Keywords: kurzweil integrals; applications henstock; henstock kurzweil; integral equations ... See more keywords
A convergence theorem for ap−Henstock-Kurzweil integral and its relation to topology
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DOI: 10.2298/fil2220831k
Abstract: In this paper we discuss about the ap?Henstock-Kurzweil integrable functions on a topological vector spaces. Basic results of ap?Henstock-Kurzweil integrable functions are discussed here. We discuss the equivalence of the ap?Henstock-Kurzweil integral on a topological… read more here.
Keywords: topology; kurzweil integral; henstock kurzweil; convergence theorem ... See more keywords