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

作　　者：ZHONG Shouguo 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2009年第4期299-303,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10471107);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20060486001)

摘　　要：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.

关 键 词：characteristic singular integral equation Riemann boundary value problem （RBVP） solution with singularities of higher order real axis 

分 类 号：O175.5[理学—数学] TG54[理学—基础数学]