单调序列 meaning in English
monotone sequence
monotonic sequence
Examples
- Completely monotonic sequence
完全单调序列 - Monotone iteration method and upper and lower solutions were used to approach to the solution of the first - order integral boundary value problem on time scales form below and above by monotone convergent sequence
摘要运用单调迭代方法和上下解方法构造了两个单调序列，从上下两个方向分别收敛到一阶积分边值问题。 - Main results : theorem 1 let e be a real banach space , p be a normal cone in e . conditions ( a1 ) - ( a3 ) be satisfied , let k0 < c2 , and l = max { 1 , maxj g ( t , s ) } , inequality 4l # [ c3 + m + 47 # k0 ( c4 + 2n ) ] < 1 holds . then there exist monotone sequences { vn ( t ) } , ( wn ( t ) } , such that uniformly on i and p ( t ] , r ( t ) are minimal and maximal solutions between vq and w0 forpbvp ( 1 . 1 )
( a2 )存在常数m o ， n 0 ，满足这里（ a3 ）对和等度连续的有界单调序列都有其中本文的主要定理：定理设为实空间， p是中正规锥，条件满足，设设满足则存在单调序列在上一致成立，且分别为上的最小解和最大解 - Only a few have studyed family of problems . we extend the work in [ 26 ] - [ 27 ] . first , under the classical assumption that ( t ) ( t ) , we consider the periodic boundary value problem , when / is independent of x ( t ) . second , under the case that ( t ) ( t ) , we consider the periodic boundary value problem and describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to periodic boundary value problems , when / depends on x ( t )
气t )这一项的边值间题更是如此，基于此，我们把微分方程方面的结果推广到时间模上.首先考虑在下解小于上解的情况下， f不含。 ( t )这一项的周期边值问题，而后在下解大于上解的情况下，考虑了含有、 ( t )这一项的周期边值问题，描述了一种构造性方法，构造了两个单调序列其一致收敛到二阶周期边值问题的极值解