A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations

H. Mehravaran, M. Khanehgir and R. Allahyari

Journal of Mathematics, 2018, vol. 2018, 1-13

Abstract:

We study a new family of measures of noncompactness in the locally Sobolev space , equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of solutions for a class of nonlinear Volterra integrodifferential equations. Further, we give an illustrative example to verify the effectiveness and applicability of our results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3579079

DOI: 10.1155/2018/3579079

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