Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations
نویسندگان
چکیده
منابع مشابه
Construction of measures of noncompactness of $C^k(Omega)$ and $C^k_0$ and their application to functional integral-differential equations
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 Darbo's fixe...
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ژورنال
عنوان ژورنال: Mathematical Sciences
سال: 2018
ISSN: 2008-1359,2251-7456
DOI: 10.1007/s40096-017-0240-2