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非线性m-点边值问题的三正解的存在性

Existence of Three Positive Solutions to Nonlinear m-Point Boundary Value Problems
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摘要 本文运用文[1 ]中的Leggett Williams不动点定理研究了非线性m In this paper, we study the existence of three positive solutions to the m point boundary value problem by applying the Leggett Williams fixed point theorem in .
作者 柏传志
出处 《淮阴师范学院学报(自然科学版)》 CAS 2002年第1期1-5,共5页 Journal of Huaiyin Teachers College;Natural Science Edition
基金 江苏省教育厅自然科学基金资助项目(1999SZ0 0 0SJ2)
关键词 多点边值问题 正解 不动点 multi point boundary value problem positive solution cone fixed point
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参考文献7

  • 1[1]Leggett R W, Williams L R. Multiple positive fixed-points of nonlinear operators on ordered Banach spaces[J]. Indiana University mathematics Journal, 1979, 28: 673-688.
  • 2[2]Il'in V A, Moiseev E I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator[J]. Differential Equations, 1987, 23: 979-987.
  • 3[3]Feng W, Webb R L. Solvability of a m-point boundary value problem with nonlinear growth[J]. J.Math. Anal. Appl. 1997, 212: 467-480.
  • 4[4]Ma Ruyun. Existence theorems for a second order m-point boundary value problem[J]. J.Math. Anal. Appl. 1997, 211: 545-555.
  • 5[5]Feng W. On a m-point nonlinear boundary value problem[J]. Nonlinear Anal. 1997, 30: 5369-5374.
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  • 7[7]Ma Ruyun. Existence of solutions of nonlinear m-point boundary-value problem[J]. J.Math. Anal. Appl. 2001, 256: 556-567.

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