# [1]孙家乐,杨琪瑜.第一类边界混合问题离散现象的注记[J].东南大学学报(自然科学版),1983,13(3):79-86.[doi:10.3969/j.issn.1001-0505.1983.03.009] 　Sun Jia-le,and Yang Qi-yu.A Note on the Discrete Phenomena in the Mixed Problem[J].Journal of Southeast University (Natural Science Edition),1983,13(3):79-86.[doi:10.3969/j.issn.1001-0505.1983.03.009] 点击复制 第一类边界混合问题离散现象的注记() 分享到： var jiathis_config = { data_track_clickback: true };

13

1983年第3期

79-86

1983-09-20

## 文章信息/Info

Title:
A Note on the Discrete Phenomena in the Mixed Problem

Author(s):

+
DOI:
10.3969/j.issn.1001-0505.1983.03.009

Abstract:
In this paper, a detailed discussion is made of the mixed problem The main results are the following two theorems: Theorhm 1 If p=4k+3 （h=1, 2, ……）, there is a unique solution of the mixed problem （2）_p= （2）_{4k+3}, if and only if the following condition is satisfied: (θ_5θ_7……θ_{4k+3φ})_2（x）=1/（x^2）(θ_5θ_7……θ_{4k+3φ}_1（x） -（1/x） /（x）[θ_5θ_7……θ_{4k+3φ}_1（x）] and in this ease the solution is given by u（x,t）=F_{4k+3}F_{4k-1}……F_{x,t} Theorem 2 1° The solution of the mixed problam （2）_p is not only existent but also unique for p≠1, 3, 5, …… 2° If p=4k+1 （k=1, 2,……）, there is a unique solution of the mixed problem given by u（x,t）=F_{4k+1}F_{4k-3}……F_{x,t}