A NEW THEOREM OF EXISTENCE TO FOURTH-ORDER BOUNDARY VALUE PROBLEM

R.-J. Liang, Y.-H. Zhao, J.-P. Sun

Abstract


A new theorem of existence for fourth-order boundary value problem\begin{eqnarray*}\Delta ^4x(t-2) &=&a(t)f(x(t)),\quad t\in [2,T], \\x(0) &=&x(T+2)=0, \\\Delta ^2x(0) &=&\Delta ^2x(T)=0\end{eqnarray*}is obtained by using a Fixed Point Theorem.

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