{"title":"Positive Solutions of Second-order Singular Differential Equations in Banach Space","authors":"Li Xiguang","volume":60,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":2089,"pagesEnd":2093,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/12457","abstract":"
In this paper, by constructing a special set and utilizing fixed point index theory, we study the existence of solution for the boundary value problem of second-order singular differential equations in Banach space, which improved and generalize the result of related paper.<\/p>\r\n","references":"[1] X.Liu, B.Yan, Boundary-irregular solutions to singular boundary value\r\nproblems, Nonliear Anal.32(1998)633-644.\r\n[2] IEEEhowto:kopkaAgarwal R.P,ORegan,D,Twin solutions to singular\r\nDirichlet problem, J.Math.Anal.240(1999)433-435\r\n[3] Agarwal R.P,ORegan,D, second order boundary initial value problems of\r\nsingular type,J.Math.Anal\u252c\u2510Appl.229(1999)441-451.\r\n[4] X Xu,On some results of singular boundary value problems, Doctoral\r\nthesis of Shandong University,2001.\r\n[5] Liu Cai,Wang Li-li,Dong Li-li, Existence of the singular integrodifferential\r\nequations boundary value problems, Shandong Science,\r\n22(3)2009 66-68.\r\n[6] Yansheng Liu, Positive solutions of singular semiposition boundary value\r\nproblems Acta Mathematica Scientia 2005 25(3)307-314.\r\n[7] Yu Huimin, Liu Yansheng, Twin positive solutions for a singular semipositone\r\nboundary value problem, Acta Mathematica Scientia, 29(5)2009\r\n1233-1239.\r\n[8] Guo D.J,SunJ.X,Ordinary differential equations in abstract space Jinan:\r\nShandong Sci.Tech.Publishing House,1989.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 60, 2011"}