Characteristic singular integral equations with solutions having singularities of higher order on the real axis |
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Authors: | Shouguo Zhong |
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Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China |
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Abstract: | Under the appropriate hypotheses subject to the unknown function and the free term, by means of our Lemma, we prove the rationality
of order at x = ∞ on two sides for the characteristic singular integral equations with solutions having singularities of higher order on
the real axis X. We transform the equations into solving equivalent Riemann boundary value problems with solutions having singularities of
higher order and with additional conditions on X. The solutions and the solvable conditions for the former are obtained from the latter.
Biography: ZHONG Shouguo (1941–), male, Professor, research direction: singular integral equations and their applications. |
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Keywords: | characteristic singular integral equation Riemann boundary value problem (RBVP) solution with singularities of higher order real axis |
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