方程w″-w+f(t,w)=0的Dirichlet边值问题的正解存在性与多解性(英文)

Existence and Multiplicity of Positive Solutions for Dirichlet BVP of Equationw″-w+f(t,w)=0

考察了下列常微分方程的 Dirichlet边值问题的正解w″(t) -w(t) +f (t,w(t) ) =0 , 0 t 1w(0 ) =w(1 ) =0建立了 n正解的存在性 ,其中 n是一个任意的自然数 .

The positive solution for the following Dirichlet boundary value problem of ordinary differential equation are consideredw″(t)-w(t)+f(t,w(t))=0,\ 0t1 w(0)=w(1)=0The existence of n positive solutions is established, where n is an arbitrary natural numbers.