Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels
Keyword(s):
The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined. It is proved that, if the free term of the integral equation belongs to this class and the equation itself is solvable, then its solution also belongs to this class. To solve this problem, a special research technique is used. The above-mentioned technique is based on the decomposition of both the solution and the free term in spherical harmonics.
2020 ◽
Vol 19
(9)
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pp. 4349-4362
1948 ◽
Vol 63
(1)
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pp. 144-144
2020 ◽
Vol 14
(2)
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pp. 313-335
2009 ◽
Vol 247
(4)
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pp. 1249-1274
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2019 ◽
Vol 7
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pp. 39-46
1984 ◽
Vol 104
(1)
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pp. 155-172
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