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AN EXISTENCE THEOREM OF POSITIVE SOLUTIONS FOR ELASTIC BEAM EQUATION WITH BOTH FIXED END-POINTS 被引量：12

AN EXISTENCE THEOREM OF POSITIVE SOLUTIONS FOR ELASTIC BEAM EQUATION WITH BOTH FIXED END-POINTS
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摘要 By using the degree theory on cone an existence theorem of positive solution for a class of fourth-order two-point BVP's is obtained. This class of BVP's usually describes the deformation of the elastic beam with both fixed end-points. By using the degree theory on cone an existence theorem of positive solution for a class of fourth-order two-point BVP's is obtained. This class of BVP's usually describes the deformation of the elastic beam with both fixed end-points.
作者 Jiang Xiufen Yao Qingliuof Math., Northwest Normal Univ., Lanzhou 730070.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第3期237-240,共4页 高校应用数学学报（英文版）（B辑）
关键词 Elastic beam equation positive solution EXISTENCE fixed point theorem on cone. Elastic beam equation, positive solution, existence, fixed point theorem on cone.
分类号 O175 [理学—基础数学] O343 [理学—固体力学]
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参考文献4

  • 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.

同被引文献19

引证文献12

二级引证文献54

Applied Mathematics(A Journal of Chinese Universities)
2001年 第3期

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