半周期Riemann边值问题
Half-Periodic Riemann Boundary Value Problem
摘要: 本文讨论半周期Riemann边值问题，利用周期延拓的方法将所述问题转化为周期Riemann边值问题，利用已有的对周期Riemann边值问题的解法得到典则函数，然后把一般问题转化为跳跃问题。结合对解作不同的要求来讨论半周期Riemann边值问题，然后给出原问题的可解条件及有解情形下的封闭解。
Abstract:
In this paper, we discuss the half-periodic Riemann boundary value problem. By the method of periodic extension, we transfer the problem to the periodic Riemann boundary value problem (PRBVP). By the solution of PRBVP, we take the canonical function of PRBVP as one of the half-periodic Riemann boundary value problem. Then, we transfer the original problem to be a Riemann jump problem. At last we offer explicit discussions for half periodic Riemann boundary value problem.
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