摘要
本文研究由一个二变元四阶差分方程边值问题生成的分形曲面的精细计盒维数问题，给出了一个自然的维数公式：若该边值问题的边界上的连续函数图象的精细计盒维数为γ，则该解曲面的精细计盒维数为（ｌ＋γ）．
In this paper, the refined box dimension of a class of surfaces generated by a boundary value problem of fourth order difference equation is studied. A natural dimension formula is obtained. The main result says: If the graph of the boundary function in the boundary value problem has a refined box dimensionγ, then the solution surface has the refined box dimension 1 + γ.
出处
《应用数学学报》
CSCD
北大核心
2001年第3期339-343,共5页
Acta Mathematicae Applicatae Sinica
