1) strict monotonic increase
严格单调增加
2) strictly monotonically increasing function
严格单调增加的函数
4) strictly monotone increasing solution
严格单调递增解
1.
A strictly monotone increasing solution and a strictly monotone decreasing solution are obtained,where F is a continuous operator,ω,γare both the continuous functionals.
考虑二阶差分方程泛函边值问题Δ~2u(k-1)=(Fu)(k),k∈[a+1,b-1]z,ω(u)=A,γ(Δu)=B多个解的存在性,并获得一个严格单调递增解和一个严格单调递减解。
5) Strictly Monotone
严格单调
1.
Let f(x), g(x) be strictly monotone and integrable, p(x), q(x) be always positive and integrable over the same interval [a, b], according to mean value theorem for integrals, there is sole mean value ξ f,p (a,b) and ξ g,q (a,b) respectively.
设f (x)、g(x)在同一区间[a,b]内严格单调并可积,p(x)、q(x)恒正可积,按积分中值定理各有唯一的中间点ξf ,p(a,b)和ξg,q(a,b) 。
2.
In this paper, under the condition of strictly monotone, discusses str ictly monotone , continuity and derivatiability of integral mean value function, and the general results are obtained.
本文在严格单调的前提下 ,讨论了积分中值函数的严格单调性、连续性和可微性 ,得到了具有一般性的结论。
3.
This paper,under the condition of strictly monotone,discusses strictly monotone increasingproperty,continuity and differentiability of integral mean value function ξ(x),and weakens the condi-tion used in the document [1].
本文在严格单调的前提下，讨论了积分中值函数ξ(x)的严格递增性、连续性和可微性，减弱了文[1]所使用的条件。
补充资料：严格
严肃而认真，用于执行制度或掌握标准时：严格要求｜严格执行各项规定。
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参考词条