一类四阶常微分方程边值问题的三个正解

EXISTENCE OF THRETHE EXISTENCE OF THREE POSITIVE SOLUTIONSOF THE FOURTH-ORDER DIFFERENTIAL EQUATION AND THE BOUNDARY VALUE PROBLEM

在边值条件 y( 0 ) =y′( 1 ) =y″( 0 ) =y ( 1 ) =0下 ,讨论了方程y″″- f( y( x) ) =0三个正解的存在性。

The existence of three positive solutions of the fourth- order differential equation y″″- f( y( x) ) =0 is proved when y′( 0 ) =y′( 1 ) =y″( 0 ) =y ( 1 ) =0 .