Two-point boundary value problem of 2mth order differential equations

摘要

An existence and uniqueness result for the boundary value problem x(2m)+∑k=1mAkx(2k−1)+(−1)m−1f(t,x)=e(t), x(j)(0)=x(j)(π)=0, j=0,1,…,m−1, is given.