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TWIN POSITIVE SOLUTIONS TO A CLASS OF NONLINEAR SECOND-ORDER THREE-POINTS BOUNDARY VALUE PROBLEMS 被引量：1

TWIN POSITIVE SOLUTIONS TO A CLASS OF NONLINEAR SECOND-ORDER THREE-POINTS BOUNDARY VALUE PROBLEMS
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摘要 In this paper, we establish two existence theorems of twin positive solutions for a class of nonlinear second-order three-point boundary value problems, and concentrate on the case when nonlinear term does not satisfy usual conditions. In this paper, we establish two existence theorems of twin positive solutions for a class of nonlinear second-order three-point boundary value problems, and concentrate on the case when nonlinear term does not satisfy usual conditions.
作者 姚庆六
机构地区 Dept. of Appl. Math.
出处 《Annals of Differential Equations》 2004年第1期99-105,共7页 微分方程年刊（英文版）
关键词 nonlinear second-order ordinary differential equation three-point boundary value problem twin positive solutions existence theorem nonlinear second-order ordinary differential equation, three-point boundary value problem, twin positive solutions, existence theorem
分类号 O175.8 [理学—基础数学]
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  • 1Agarwal, R. P., Chow, Y. M., Iterative methods for a fourthorder boundary value problem, J.Comput. Appl. Math., 1984,10:203-217.
  • 2Zhong Chengkui,Fan Xianling and Chen Wenyuan, Introduction of Nonlinear FunctionalAnalysis,Lanzhou Univ. Press, Lanzhou, 1998.(in Chinese)
  • 3Yao, Q. and Bai, Z., Existence of positive solutions of BVP for u(4)(t)-λh(t)f(u(t))=0,Chinese Ann. Math. Ser. A, 1999,20:575-578.(in Chinese)
  • 4Wang,H.,On the existence of positive solutions for semilinear elliptic equations inthe annulus, J. Differential Equations, 1994,109:1-7.

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Annals of Differential Equations
2004年 第1期

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