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一类变号三点边值问题正解的存在性

The Existence of Positive Solutions to Three-point Boundary Value Problem with Change of Sign
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摘要 运用锥上的Guo-Krasnoselskij's不动点定理研究了一类非线性变号二阶三点边值问题至少一个正解的存在性.给出了与之相关联的线性二阶三点边值问题的格林函数及格林函数的一些性质.最后,作为应用,举例证明了所得结论的正确性. This paper investigates the existence of at least one positive solution to the nonlinear second-order three-point boundary value problem with change of sign by the application of the Guo-Krasnoselskij＇s fixed-point theorem in cones. The Green＇s function and some of its properties of the linear second-order three-point boundary value problem related to the nonlinear boundary value problem are provided. At last, an example is given to dem- onstrate the results of this study.
作者 魏嘉 王静
机构地区 甘肃联合大学师范学院数学系
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2014年第2期72-77,共6页 Journal of Natural Science of Hunan Normal University
基金 甘肃省自然科学基金资助项目(3ZS042-B26-021) 甘肃省教育厅科研基金资助项目(1013B-03)
关键词 边值问题 变号 格林函数 正解 boundary value problem sign changing Green＇s function positive solution
分类号 O175 [理学—基础数学]
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参考文献14

  • 1SUN J P, WEI J. Existence of positive solution for semipositone second-order three-point boundary-value problem [ J]. Eletron J Diff Equ, 2008,41(1) :1-7.
  • 2BAI D L, FENG H Y. Eigenvalue for a singular second order three-point boundary value problem [ J]. J Appl Math Comp, 2012,38(1-2) :443-452.
  • 3BAI Z B, DU Z J. Positive solutions for some second-order four-point boundary value problems [ J ]. J Math Anal Appl, 2007, 330( 1 ) :34-50.
  • 4BOHNER M, STEVIC S. Linear perturbations of a nonoscillatory second-order dynamic equation [ J]. J Diff Equ Appl, 2009, 15(11) :1211-1221.
  • 5DU X S, ZHAO Z Q. A necessary and sufficient condition for the existence of positive solutions to singular sublinear three-point boundary value problems[J]. J Appl Math Comp, 2007,186( 1 ) :404-413.
  • 6GUPTA C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations [J]. J Math Anal Appl, 1992,168 (2) :540-551.
  • 7KONG L J. Second order singular boundary value problems with integral boundary conditions [ J]. Nonlinear Anal, 2010,31 (5) :2628-2638.
  • 8KUN W, ZHI L. Positive solutions for a system of second-order boundary-value problems involving first-order derivatives [ J ]. Eletron J Diff Equ, 2012,135 ( 1 ) : 1-17.
  • 9LI G, LIU X, JIA M. Positive solutions to a type of nonlinear three-point boundary-value problem with sign changing nonlineari- ties [J]. Comput Math Appl, 2009,57(3):348-355.
  • 10LIU B, LIU L, WU Y. Positive solutions for singular second order three-point boundary value problems [ J]. Nonlinear Anal, 2007,66(12) :2756-2766.

二级参考文献12

  • 1KILBAS A A, SRIVASTAVA H M, TRUJILLO J J. Theory and applications of fractional differential equations [ M ]. Amster- dam: Elsevier, 2006.
  • 2BAI Z B, LV H S. Positive solutions for boundary value problem of nonlinear fractional differential equation [ J ]. J Math Anal Appl, 2005,311 ( 2 ) :495-505.
  • 3BAI Z B. On positive solutions of a nonlocal fractional boundary value problem [ J]. Nonlinear Anal, 2010,72 (2) :916-924.
  • 4CHEN T Y, LIU W B. A boundary value problem for fractional differential equation with p-Laplacian operator at resonance [ J ]. Nonlinear Anal, 2012,75 (6) :3210-32 I7.
  • 5SU X W. Boundary value problem for a coupled system of nonlinear fractional differential equations [ J ]. Appl Math Lett, 2009,22( 1 ) :64-69.
  • 6GAN S Q. Dissipativity of 0-methods for nonlinear delay differential equations of neutral type [ J ]. Appl Numer Math, 2009,59 (6) :1354-1365.
  • 7SUN H R, TANG L T, WANG Y H. Eigenvalue problem for p-Laplaeain three-point boundary value problems on time scales [J]. J Math Anal nppl, 2007,331 ( 1 ) :248-262.
  • 8ZHANG Y H, BAI Z B. Existence of solutions for nonlinear fractional three-point boundary value problems at resonance [ J]. J Appl Math Comput, 2011,36(2) :417-440.
  • 9ZHAO Y G, SUN S R. The existence of multiple positive solutions for boundary value problem of nonlinear fractional differential equations [ J ]. Commun Nonlinear Sci Numer Simulat, 2011,16 (4) : 2086-2097.
  • 10XU X J, JANG D Q. Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation [J]. Nonlinear Anal, 2009,71 (10) :4676-4688.

共引文献3

湖南师范大学自然科学学报
2014年 第2期

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