本文主要目的是利用值分布理论研究复高阶微分方程(Ω(z,ω)/ω~k0(ω')~k1…(ω^(n)~kn)~m=aω~p+sum from j=0 to x b_j(z)ω~j(p≥m)亚纯允许解的存在性问题.证明了一个在适当的条件下,该微分方程的亚纯解一定不是允许解的结果....本文主要目的是利用值分布理论研究复高阶微分方程(Ω(z,ω)/ω~k0(ω')~k1…(ω^(n)~kn)~m=aω~p+sum from j=0 to x b_j(z)ω~j(p≥m)亚纯允许解的存在性问题.证明了一个在适当的条件下,该微分方程的亚纯解一定不是允许解的结果.实例表明该文的结果是最佳的.展开更多
A free-boundary model of nonlinear dynamic system for pure forest is presented, in which the felling rate is unbounded nearby the free boundary. The effiect of unbounded function on a priori estimate and analysis of r...A free-boundary model of nonlinear dynamic system for pure forest is presented, in which the felling rate is unbounded nearby the free boundary. The effiect of unbounded function on a priori estimate and analysis of regularity is overcome, and the existence and uniqueness of the global classical solution to this system are proved.展开更多
文摘本文主要目的是利用值分布理论研究复高阶微分方程(Ω(z,ω)/ω~k0(ω')~k1…(ω^(n)~kn)~m=aω~p+sum from j=0 to x b_j(z)ω~j(p≥m)亚纯允许解的存在性问题.证明了一个在适当的条件下,该微分方程的亚纯解一定不是允许解的结果.实例表明该文的结果是最佳的.
基金Supported by the National Natural Science Foundation of China (90410011)
文摘A free-boundary model of nonlinear dynamic system for pure forest is presented, in which the felling rate is unbounded nearby the free boundary. The effiect of unbounded function on a priori estimate and analysis of regularity is overcome, and the existence and uniqueness of the global classical solution to this system are proved.
