Title of article
Construction of measures of noncompactness of $C^k(Omega)$ and $C^k_0$ and their application to functional integral-differential equations
Author/Authors
-، - نويسنده Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran. Arab, R. , -، - نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. Allahyari, R. , -، - نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. Shole Haghighi, A.
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2017
Pages
15
From page
53
To page
67
Abstract
-
Abstract
In this paper, first, we investigate the construction of compact sets of $ C^k$ and $ C_0^k$ by proving ``$C^k, C_0^k-version$" of Arzel`{a}-Ascoli theorem, and then introduce new measures of noncompactness on these spaces. Finally, as an application, we study the existence of entire solutions for a class of the functional integral-differential equations by using Darboʹs fixed point theorem associated with these new measures of noncompactness. Further, some examples are presented to show the efficiency of our results.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2400322
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