CLOSED-FORM SOLUTIONS FOR BOUNDARY-VALUE COUPLED DIFFERENTIAL AND DIFFERENCE-SYSTEMS

[摘要] In this paper we study existence conditions and explicit closed-form solutions of boundary value problems for coupled differential and difference systems. Our algebraic approach is based on the concept of rectangular co-solution of an algebraic matrix equation of polynomial type. This avoids the increase of the dimension of the problem and permits to find an explicit expression of the general solution of the problem.

[发布日期] 1991-06-26

[关键词] BOUNDARY VALUE PROBLEM;COUPLED SYSTEM;DIFFERENTIAL;DIFFERENCE;CO-SOLUTION;MATRIX EQUATION