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二阶边值问题正解的存在性

The Existence of Positive Solution for Second-order Broundary Value Problems
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摘要 应用下解和拓扑度方法,对一类非线性二阶二点边值问题进行了研究,并且得到了正解的存在性. By using the method of lower solution and the method of topology degree, we study some nonlinear second-order two point boundary value problems and obtain the existence of positive solution.
作者 王春利
出处 《淮阴师范学院学报(自然科学版)》 CAS 2008年第1期1-4,8,共5页 Journal of Huaiyin Teachers College;Natural Science Edition
关键词 边值问题 正解 Green’s函数 不动点 boundary value problems positive solution Green's function fixed point
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参考文献6

  • 1[1]Cheng L W,Fu H W,Chen C Y.On the existence of positive solutions of nonlinear second order differential equations[J].Proc.Amer.Math.Soc,1996,124:1117-1126.
  • 2[2]Cheung W S,Ren J L.Positive solution for m-point boundary value problems[J].J Math Anal Appl,2005,303:565-575.
  • 3[3]Deimling K.Nonlinear Functional Analysis[M].Berlin:Springer-Verlag,1995.
  • 4[4]Erbe L H,Hu S,Wang H.Multiple positive solutions of some boundary value problems[J].J Math Anal Appl,1994,184:640-648.
  • 5[5]Yang Z L,Sun J X.Positive solutions of boundary value problems for systems of nonlinear second-order ordinary differential equations[J].Acta Math Sinica,2004,47:11-118.
  • 6[6]Khan R A.The generalized quasilinearization technique for a second order differential equation with separated boundary conditions[J].Math Comput Modelling,2006,43:727-742.

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