| EIGENVECTORS OF SYSTEM OF HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES ANDAPPLICATIONS |
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| 作者姓名： | 娄本东 |
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| 作者单位： | Departmeut of Mathematics，Shandong University，Jinan 250100，China |
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| 摘 要： | 1IntroductionLetEbeaBanachspaceandI=O,l].ConsiderthesystemofHammersteinintegralequationsinE:wherekiECIxI,R'](i=1,2)arenonnegative,fieCIxExE,E](i=1,2)andyt,YECI,E].Inthispaper,weinvestigatetheexistenceofeigenvectorsofsystem(l)bymeansoffixedpointindextheory.WealsogivesomeapplicationstoasystelllofSturm-Liouvilleproblemsofordinarydtherentialequations.Iuwl1atfollows,PdenotesthenormalconeofEwithanormalconstantN(see1,2l):95u5vimplieslluII5N11vIl,whereoisthezeroelementofE.ExEisaBana…
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EIGENVECTORS OF SYSTEM OF HAMMERSTEININTEGRAL EQUATIONS IN BANACH SPACES AND APPLICATIONS |
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| Lou Bendong.EIGENVECTORS OF SYSTEM OF HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES ANDAPPLICATIONS[J].Acta Mathematica Scientia,2000,20(1). |
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| Authors: | Lou Bendong |
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| Abstract: | In this paper, the author investigates the existence of eigenvectors of system of Hammerstein integral equations in Banach spaces by means of fixed point index theory. He also gives some applications to a system of Sturm-Liouville problems of ordinary differential equations. |
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| Keywords: | Eigenvectors Hammerstein integral equations fixed point index |
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