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

We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), 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 integr...

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Bibliographic Details
Main Authors: H. Mehravaran, M. Khanehgir, R. Allahyari
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2018/3579079