数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2001年
1期
22-26
,共5页
渐近性质%差分方程%扰动项
漸近性質%差分方程%擾動項
점근성질%차분방정%우동항
研究了差分方程△(cn△zn)+anzn+1=f(n,zn,zn+1)的系数和扰动项满足的条件，使得方程有解具有性质limn→∞zn=α或limn→∞(zn)/(Cn)=β,这里α，β为实数，Cn=nj=1c-1j.
研究瞭差分方程△(cn△zn)+anzn+1=f(n,zn,zn+1)的繫數和擾動項滿足的條件，使得方程有解具有性質limn→∞zn=α或limn→∞(zn)/(Cn)=β,這裏α，β為實數，Cn=nj=1c-1j.
연구료차분방정△(cn△zn)+anzn+1=f(n,zn,zn+1)적계수화우동항만족적조건，사득방정유해구유성질limn→∞zn=α혹limn→∞(zn)/(Cn)=β,저리α，β위실수，Cn=nj=1c-1j.
In this paper,we study the asymptotic properties of the solutions of the following equation (A) △(cn△zn)+anzn+1=f(n,zn,zn+1) and obtain several sufficient conditions which guarantee that (A) has the asymptotic properties limn→∞zn=α or limn→∞(zn)/(Cn)=β,where α,β are real numbers and Cn=nj=1c-1j.
