唐秋云, 王明高

（1.山東萬(wàn)杰醫(yī)學(xué)院 公共教學(xué)部,山東 淄博255213； 2.山東萬(wàn)杰醫(yī)學(xué)院 圖書(shū)館,山東 淄博255213）

1 引言及預(yù)備知識(shí)

2 主要結(jié)果

［1］ Liu Y J,Patricia J Y.Unbounded solutions of BVP for second order ODE with p-Laplation on the half-line［J］.Appl Math,2013,58:179-204.

［2］ Djebali S,Mebarki K.Multiple positive solutions for singular BVPs on the positive half-line［J］.Comput Math Appl,2008,55:2940-2952.

［3］ Lian H,Ge W.Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line［J］.J Math Anal Appl,2006,321:781-792.

［4］ Guo D J.Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space ［J］.Appl Math Comput,1999,99:1-15.

［5］ Yan B,Liu Y.Unbounded solutions of the singular boundary value problems for second order differential equations on the halfline［J］.Appl Math Comput,2004,147:629-644.

［6］ Guo Y,Yu C,Wang J.Existence of three positive solutions for m-point boundary value problems on infinite intervals［J］.Nonlinear Anal:TMA,2009,71:717-722.

［7］ Liu Y S.Existence and unboundedness of positive solutions for singular boundary value problems on half-line［J］.Appl Math Comput,2003,144:543-556.

［8］ Guo D J.Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space ［J］.Appl Math Comput,1999,99:1-15.

［9］劉衍勝.無(wú)窮區(qū)間上二階微分方程邊值問(wèn)題［J］.應(yīng)用泛函分析學(xué)報(bào),2002,4（3）:211-216.

［10］王明高,唐秋云.半直線上奇異微分方程組邊值問(wèn)題多個(gè)正解的存在性［J］.山東大學(xué)學(xué)報(bào):理學(xué)版,2011,46（6）:64-66.

［11］ Guo D J,Lakshmikantham V,Liu X Z.Nonlinear Integral Equations in Abstract Spaces［M］.Dordrecht:Kluwer Academic Publishers,1996.

［12］張穩(wěn)根,胡衛(wèi)敏,劉剛.非線性分?jǐn)?shù)階微分方程組奇異對(duì)偶系統(tǒng)正解的存在性［J］.四川師范大學(xué)學(xué)報(bào):自然科學(xué)版,2013,36（6）:887-892.

［13］ Agarwal R P,O'Regan D,Wong P J Y.Constant-sign solutions of a system of Fredholm integral equations［J］.Acta Appl Math,2004,80:57-94.

［14］ Agarwal R P,O'Regan D,Wong P J Y.Eigenvalues of a system of Fredholm integral equations［J］.Math Comput Model,2004,39:1113-1150.

［15］ Kang P,Wei Z.Multiple positive solutions of multi-point boundary value problems on the half-line［J］.Appl Math Comput,2008,196:402-415.

［16］ Lian H,Ge W.Solvability for second-order three-point boundary value problems on a half-line［J］.Appl Math Lett,2006,19:1000-1006.