The Application of Distributional Henstock-Kurzweil Integral on Third-order Three-Point Nonlinear Boundary-Value Problems

  •  Dakai Zhou    
  •  Guoju Ye    
  •  Wei Liu    
  •  Bing Liang    


We consider a type of form such as $u'''=-f$ with three-point
nonlinear boundary-value problems (NBVPs). We verified the existence
of solutions of the (NBVPs) when $f$ is distributional
Henstock-Kurzweil integral but not Henstock-Kurzweil integral.We use
the distribution derivative and fixed point theorem to deal with the
problem. The results obtained generalize the known results. For
this reason, it is conducive to the further study of NBVPS.

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