Characteristic Singular Integral Equations with SolutionS Having Singularities of Higher Order on the Real Axis

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 t...

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Published inWuhan University journal of natural sciences Vol. 14; no. 4; pp. 299 - 303
Main Author Zhong, Shouguo
Format Journal Article
LanguageEnglish
Published Heidelberg Wuhan University 01.08.2009
Subjects
Biomedical and Life Sciences
Computer Science
Life Sciences
Materials Science
可解条件
奇异积分方程
未知函数
理性秩序
附加条件
高阶奇点
solution with singularities of higher order
characteristic singular integral equation
real axis
O 175.5
Riemann boundary value problem (RBVP)
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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.
AbstractList 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.
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.
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 =(infinity) 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.
Author ZHONG Shouguo
AuthorAffiliation School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China
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Keywords solution with singularities of higher order
characteristic singular integral equation
real axis
O 175.5
Riemann boundary value problem (RBVP)
Language English
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Notes solution with singularities of higher order
characteristic singular integral equation
Riemann boundary value problem （RBVP）
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characteristic singular integral equation; Riemann boundary value problem （RBVP）; solution with singularities of higher order; real axis
real axis
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Snippet 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...
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...
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 =(infinity)...
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SubjectTerms Biomedical and Life Sciences
Computer Science
Life Sciences
Materials Science
可解条件
奇异积分方程
未知函数
理性秩序
附加条件
高阶奇点
Title Characteristic Singular Integral Equations with SolutionS Having Singularities of Higher Order on the Real Axis
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