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1)  fourth-order
四阶
1.
Existence of solutions for a class of fourth-order difference boundary value problem and critical point method;
一类四阶差分边值问题解的存在性与临界点方法
2.
Positive solutions of boundary value problems for systems of nonlinear fourth-order differential equations;
四阶非线性微分方程组边值问题的正解
3.
The existence of at least two positive solutions is proved for the nonlinear fourth-order periodic boundary valve problem u(4)(t)-βu″(t)+αu(t)=λf(t,u(t)),0≤t≤1,u(i)(0)=u(i)(1),i=0,1,2,3,where β>-2π2,0<α<(1/2β+2π2)2,α/π4+β/π2+1>0,λ>0 is a constant and f:×[0,+∞)→[0,+∞) is continuous by using fixed-point theorem and degree theory.
利用不动点和度理论,证明了四阶周期边值问题u(4)(t)-βu″(t)+αu(t)=λf(t,u(t)),0≤t≤1,u(i)(0)=u(i)(1),i=0,1,2,3,至少存在两个正解,其中β>-2π2,0<α<(1/2β+2π2)2,α/π4+β/π2+1>0,f:[0,1]×[0,+∞)→[0,+∞)是连续函数,λ>0是常数。
2)  fourth order
四阶
1.
The solvable condition of the fourth order variable coefficient linear differential equations;
四阶变系数微分方程的可解条件
2.
We study the existence of positive solutions of fourth order semipositive boundary value problem y (4) -λf(x,y)=0,0<x<1 y(0)=y(1)=y′(0)=y′(1)=0 where λ>0, the main methods are fixed point theorems in a cone.
证明了四阶半正边值问题 y( 4) -λf(x ,y) =0 ,0 0且充分小时正解的存在性 ,应用的工具是锥上的不动点定理。
3.
The theorem that a kind of fourth order linear differential equation with variable coefficients can be changed into fourth order linear differential equations with constant coefficients is deduced.
给出了一类四阶变系数线性微分方程化为四阶常系数线性微分方程的定理,并在具体的例子中加以实现。
3)  four order
四阶
1.
By means of variable substitution and complex functional derivation method,this paper gives a new kind of four order different equation,some kind of solution with sufficient and necesiory conditions.
借用变量替换法及复合函数求导法则,提出新一类四阶微分方程,具有某种形式的解的充要条件,所得结论是对有关文献结果的推广与扩充。
2.
By means of dual variation method and deviation method,this paper gives one kind of four order nonlinear differential equation and sufficient conditions for some kind of solutions.
借助双变换法及求导法则,给出一类四阶非线性微分方程,具有某种形式的解的充要条件,所得结论是对有关文献结果的深化与推广。
4)  four order terms
四阶项
1.
Not only mulitiparticles term neglected in general work is considered but also four order terms.
不仅考虑了一般工作中忽略的二阶项中的多粒子项,而且考虑了四阶项。
5)  Fourth order spectral
四阶谱
6)  four-stage method
四阶段法
1.
Aiming at the disadvantages of traditional prediction methods in railway passenger volume,a joint application of improved BP neural network and four-stage method in passenger volume prediction is brought out.
针对传统铁路客运量预测方法的不足,提出运用改进BP神经网络结合四阶段法进行客运量预测,给出了预测算法,建立了铁路客运量神经网络预测模型,并对敦煌铁路客运量进行预测,设计网络参数,进行网络学习和训练,最终得到较为精确的2010年及2015年敦煌铁路客运量,为该线路今后的运营管理提供决策参考。
2.
This paper analyzes the characteristics of highway construction project,then discusses the traffic forecasting method using four-stage method in highway construction project on the basis of area economic development forecasting.
从公路建设项目自身特点出发,探讨了在区域社会经济发展预测的基础上应用四阶段法进行公路建设项目中的交通量预测方法。
3.
The number was calculated by four-stage method.
根据公交客流量总量的历史数据,以时间序列模型预测T市2011年公交客流量总量,对比该市地铁2号线可行性报告中利用四阶段法得到的2011年公交客流量总量,验证了该报告调查数据的可靠性,同时指出时间序列模型是四阶段法预测客流量的一种有益的补充。
补充资料:四阶成佛
【四阶成佛】
 (名数)与四阶成道同。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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