On Compactness of Regular Integral Operators in the Space L1
- 作者: Yengibaryan B.1, Yengibaryan N.1
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隶属关系:
- Institute of Mathematics of NAS RA
- 期: 卷 53, 编号 6 (2018)
- 页面: 317-320
- 栏目: Differential and Integral Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/228247
- DOI: https://doi.org/10.3103/S106836231806002X
- ID: 228247
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详细
In this paper we obtain a sufficient condition for quite continuity of Fredholm type integral operators in the space L1(a, b). Uniform approximations by operators with degenerate kernels of horizontally striped structures are constructed. A quantitative error estimate is obtained. We point out the possibility of application of the obtained results to second kind integral equations, including convolution equations on a finite interval, equations with polar kernels, one-dimensional equations with potential type kernels, and some transport equations in non-homogeneous layers.
作者简介
B. Yengibaryan
Institute of Mathematics of NAS RA
编辑信件的主要联系方式.
Email: b.yengibaryan@eif.am
亚美尼亚, Yerevan
N. Yengibaryan
Institute of Mathematics of NAS RA
Email: b.yengibaryan@eif.am
亚美尼亚, Yerevan