Asymptotic expansions for Wiener–Hopf equations
Keyword(s):
Wiener–Hopf Equations are of the form [Formula: see text] These equations arise in many physical problems such as radiative transport theory, reflection of an electromagnetive plane wave, sound wave transmission from a tube, and in material science. They are also known as the renewal equations on the half-line in Probability Theory. In this paper, we present a method of deriving asymptotic expansions for the solutions to these equations. Our method makes use of the Wiener–Hopf technique as well as the asymptotic expansions of Stieltjes and Hilbert transforms.
1998 ◽
Vol 18
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pp. 78-84
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1996 ◽
Vol 100
(4)
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pp. 2596-2596
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1982 ◽
Vol GE-20
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pp. 408-411
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2013 ◽
Vol 3
(4)
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pp. 242-249
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2010 ◽
Vol 72
(2)
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pp. 311-326
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1998 ◽
Vol 217
(5)
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pp. 853-867
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