期刊文献+

半正二阶三点边值问题正解的存在性

Existence of Positive Solutions Semi-Positive Second-OrderThree-Point Boundary Value Problems
下载PDF
导出
摘要 运用锥上的不动点定理获得了半正二阶三点边值问题正解的存在性结果,其中λ 】0, 0 【η 【1 且满足 0 【αη 【1,f∈C([0,1]×[0,∞),(−∞, ∞))存在正常数 M 使得f(t,ω)≥−M 成立。 By using the fixed-point theorem in cones, we obtain the existence of positive solutions for the semi-positive second-order three-point boundary value problems where λ >0, 0
作者 杜高峰
出处 《理论数学》 2021年第4期685-693,共9页 Pure Mathematics
  • 相关文献

参考文献6

二级参考文献26

  • 1蒋达清.MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES[J].Acta Mathematica Scientia,2002,22(2):199-206. 被引量:11
  • 2RuYunMA QiaoZhenMA.Positive Solutions for Semipositone m-point Boundary-value Problems[J].Acta Mathematica Sinica,English Series,2004,20(2):273-282. 被引量:8
  • 3[1]Boucherif A.Nonlinear Cauchy problems for first-order multivalued differential equations[J].Electronic J Differential Equations,2002,47:1-9.
  • 4[2]HAN H K,Park J Y.Boundary controllability of differential equations with nonlocal conditions[J].J Math Anal Appl,1999,230:242-250.
  • 5[3]Byszewski L.Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem[J].J Math Anal Appl,1991,162:494-505.
  • 6[4]MA R Y.Existence and uniqueness of solutions to first-order three-point boundary value problems[J].Appl Math Letters,2002,15:211-216.
  • 7[5]Jackson D.Existence and uniqueness of solutions to semilinear nonlocal parabolic equations[J].J Math Anal Appl,1993,172:256-265.
  • 8Il'in V A, Moiseev E I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects [J ]. Differential Equations, 1987, 23(7): 803-810.
  • 9Il'in V A, Moiseev E I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator [ J ].Differential Equations, 1987, 23(8): 979-987.
  • 10Gupta C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation [J ]. Journal of Mathematical Analysis and Applications, 1992, 168: 540-551.

共引文献31

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部