CAJ | 학술논문

针对第一种Weber方程的边值问题，该文对其解式的相似构造进行了研究，并获得了相似核函数。由此得出如下结论：该边值问题的解首先可以由定解方程的两个线性无关解和右边界条件中的系数来构造相似核函数，再由左边界条件中的系数所确定的相似结构式进行组装而得到。最终获得了求解该类边值问题的新方法一相似构造法，它既是一种解决复杂边值问题的代数方法，也是一种数学创新思维。
침대제일충Weber방정적변치문제，해문대기해식적상사구조진행료연구，병획득료상사핵함수。유차득출여하결론：해변치문제적해수선가이유정해방정적량개선성무관해화우변계조건중적계수래구조상사핵함수，재유좌변계조건중적계수소학정적상사결구식진행조장이득도。최종획득료구해해류변치문제적신방법일상사구조법，타기시일충해결복잡변치문제적대수방법，야시일충수학창신사유。
Aiming at the boundary value problem of the first Weber Equation, this paper does a research on the similar structure of it's solution expression, and the similarity kernel function is acquired. Thus, conclusions are made as follows : Firstly, solution of the equation boundary value problem is acquired by structuring similarity kernel function with the two linear independence solutions of determining equation and coefficients in the right boundary conditions. Secondly, the solution is assembled with similar structure which is determined by the coefficients in the left boundary conditions. Finally, similar structured method, a new method of solving such boundary value problem is acquired. It is not only a no - logo theory and method, but also a kind of mathematics creative thinking.