CAJ | 학술논문

针对 Riccati - Bessel 方程一类边值问题进行求解，获得了解式的相似核函数和相似结构，通过进一步分析，发现求解该类边值问题可先利用 Riccati - Bessel 方程的两个线性无关解构造引解函数，再结合右边值条件的系数组装得到相似核函数；通过相似核函数和左边值条件的系数组装就可以得到 Riccati - Bessel 方程边值问题的解，由此提出了解决该类 Riccati - Bessel 方程边值问题的一种新思路———相似构造。
침대 Riccati - Bessel 방정일류변치문제진행구해，획득료해식적상사핵함수화상사결구，통과진일보분석，발현구해해류변치문제가선이용 Riccati - Bessel 방정적량개선성무관해구조인해함수，재결합우변치조건적계수조장득도상사핵함수；통과상사핵함수화좌변치조건적계수조장취가이득도 Riccati - Bessel 방정변치문제적해，유차제출료해결해류 Riccati - Bessel 방정변치문제적일충신사로———상사구조。
This paper solved a boundary value problem of Riccati - Bessel equation;and the similar kernel function and similar structure of the solution were obtained. By further analysis and solving this class of boundary value problem,the guiding functions were firstly constructed by using two linearly independent solutions of Riccati- Bessel equation,and then the similar kernel function was assembled by the guiding functions and coefficient of right boundary value condition. The solution to the boundary value problem was assembled by similar kernel func-tion and coefficient of left boundary value condition. Therefore a new idea is put forward for solving this class of boundary value problem of Riccati - Bessel equation:similar structure.