A family of measures of noncompactness in the space Lploc(ℝN) and its application to some nonlinear convolution type integral equations

The aim of the present paper is to introduce a new family of measures of noncompactness on the Fréchet space LPloc(ℝN) (1 ≤ p < ∞). Further, we prove a fixed point theorem on the family of measures of noncompactness in LPloc(ℝN). As an application, we investigate the existence of entire solutions...

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Bibliographic Details
Main Authors: Hojjatollah Amiri Kayvanloo, Mahnaz Khanehgir, Reza Allahyari
Format: Article
Language:English
Published: Taylor & Francis Group 2019-01-01
Series:Cogent Mathematics & Statistics
Subjects:
Online Access:http://dx.doi.org/10.1080/25742558.2019.1592276