discrete boundary value problems;
existence and uniqueness theorems;
generalized exponential Vandermonde determinant;
D O I:
10.1137/S0895479803421264
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We introduce a determinant that encompasses the classical Vandermonde determinant, the generalized Vandermonde determinant, and the recently introduced exponential Vandermonde determinant when the exponents are nonnegative integers. An explicit factorization of such a determinant will be established. This factorization enables us to develop a computationally tractable necessary and sufficient condition for the existence of a unique solution of a Hermite (l-point) discrete boundary value problem.