讨论了一般情况下,非正则型函数组Hikrt边值问题的求解问题.在问题的求解过程中,通过引入对角矩阵的方法,将非正则型问题化为正则型,然后求得一般解.在此基础上,又应用了Hermite插值多项式的特点,将一般解简化为更为适用的形式.
In the paper, the solving problem of non - regular Hilbert boundary value problem of equations is discussed in generalized situation. During the solving process, some diagonal matrices are introduced in order to regulate those equations of Hilbert boundary value problem. Furthermore, the expression of the generalized solution is simplified by Hermite interpolation polynomials. As a result, the solution is much easier than before.