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On the Existence of Positive Solution for a Nonlinear Third-order Three-point Boundary Value Problem 被引量:6

On the Existence of Positive Solution for a Nonlinear Third-order Three-point Boundary Value Problem
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摘要 An existence theorem of positive solution is established for a nonlinear third-order three-point boundary value problem. Here, we concentrated on the case that the nonlinear term is neither superlinear nor sublinear, and is not asymptotic at zero and infinity. An existence theorem of positive solution is established for a nonlinear third-order three-point boundary value problem. Here, we concentrated on the case that the nonlinear term is neither superlinear nor sublinear, and is not asymptotic at zero and infinity.
作者 姚庆六
出处 《Northeastern Mathematical Journal》 CSCD 2003年第3期244-248,共5页 东北数学(英文版)
关键词 third-order ordinary differential equation three-point boundary value problem positive solution EXISTENCE third-order ordinary differential equation, three-point boundary value problem, positive solution, existence
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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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