1) Exponent of Convergence of Zero Point
超级零点收敛指数
2) Hyper-exponent of convergence of distinct zeros
二级不同零点收敛指数
3) hyper-exponent of convergence of zeros
二级零点收敛指数
1.
It investigates two types of hyper-order linear differential equations with entire coeficients and obtain some precise estimates of the hyper order,the exponent of convergence and the hyper-exponent of convergence of zeros of the solutions for the above equations.
研究两类高阶整函数系数线性微分方程解的超级,零点收敛指数和二级零点收敛指数。
4) exponent of convergence of zero-sequence
零点收敛指数
1.
In this paper,we investigate the relationship between the exponent of convergence of zero-sequence of the solution of some homogeneous linear differential equation f (k) +A(z)f=0 and the order of growth of A(z).
研究了齐次线性微分方程f(k) +A(z)f=0的解的零点收敛指数与A(z)的级的关系 ,表明方程解的零点收敛指数在一定条件下仅依赖于A(z)的性
2.
furthermore the second exponent of convergence of zero-sequenceand hyper order of all the solution with infinite order are equal to 1.
在这章我们讨论微分方程f\'\'+A_1(z)e~(az)f\'+(A_0e~(bz) + A_2e~(cz))f = F(z)解的性质,得到了两个结果:除去至多存在一个有穷级例外解外,其余解都满足其零点收敛指数与其级相等且为无穷。
5) exponent of convergence of the zero sequence
零点收敛指数
6) zero exponent of convergence
零点收敛指数
1.
If σ(Aj)<1(j=0,1,2) and σ(F)<+∞,we proved that the solutions of the equation are infinite order and zero exponent of convergence,whose super order is one,at most one exceptional solution.
研究了一类二阶线性微分方程f″+A1eazf′+(A0ebz+A2ecz)f=F(z)的复振荡性质,在假定Aj(z)(j=0,1,2)的级小于1,F(z)的级为有限时,证明了方程的解至多除去一个例外,其余解均有无穷增长级和零点收敛指数,且超级为1。
补充资料：超级
1.谓越级擢升。 2.跨越阶蹬。 3.特别;超出一般等级的。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条