MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS

作者：Allahyari Reza; Arab Reza^*; Haghighi Ali Shole

来源：Bulletin of the Australian Mathematical Society, 2016, 94(3): 497-506.

DOI：10.1017/S0004972716000320

• measures of noncompactness
• Darbo's fixed point theorem
• integro-differential equations
• Sobolev spaces

The aim of this paper is to introduce a new measure of noncompactness on the Sobolev space W-n,W-p[0, T]. As an application, we investigate the existence of solutions for some classes of functional integro-differential equations in this space using Darbo's fixed point theorem.

• 出版日期2016-12