SINGULAR INTEGRAL EQUATIONS ON THE REAL AXIS WITH SOLUTIONS HAVING SINGULARITIES OF HIGHER ORDER

(整期优先)网络出版时间:2010-04-14
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Wetransformthesingularintegralequationswithsolutionssimultaneouslyhavingsingularitiesofhigherorderatinfinitepointandatseveralfinitepointsontherealaxisintoonesalongaclosedcontourwithsolutionshavingsingularitiesofhigherorder,andfortheformerobtaintheextendedNeothertheoremofcompleteequationaswellasthesolutionsandthesolvableconditionsofcharacteristicequationfromthelatter.Theconclusionsdrawnbythisarticlecontainspecialcasesdiscussedbefore.