1) N positive solutions
N个正解
1.
By using monotone iterative techniques,this paper not only obtains the existence of N positive solutions,but also establishes iterative schemes for approximating the solutions.
应用单调迭代方法,研究四阶两点边值问题多个正解的存在性,不仅给出了此类问题N个正解存在的充分条件,而且还得到了可将其精确解逼近到误差任意小的近似解的迭代公式。
2) two positive solutions
两个正解
1.
In the paper,by making use of the Krasnosel skii fixed point theorem of cone expansion-compression type,we establish two existence theorems of two positive solutions for a class of nonlinear second-order three-point boundary value problem.
通过运用锥拉伸压缩型的不动点定理,对于一类非线性二阶三点边值问题建立了两个正解的两个存在性定理。
3) multiple positive solutions
多个正解
1.
We employed the fixed-point theorem of cone expansion and compression to discuss the existence of multiple positive solutions of the following third-order three-point boundary value problemsu(t)+a(t)f(t,u(t))=0, 0
通过利用锥上的不动点定理讨论了下列三阶三点边值问题u(t)+a(t)f(t,u(t))=0,0
2.
We employed the fixed-point theorem to obtain a sufficient condition of the existence of multiple positive solutions for a class of singular second-order three-point boundary value problem, u″(t)+a(t)f(u)=0,0
本文应用不动点指数定理得到了奇异非线性三点边值问题u″(t)+a(t)f(u)=0,0
4) the exact number of positive solutions
正解的确切个数
1.
Using the shooting method,we discussed the exact number of positive solutions for a class of boundary value problemx″(t)=λxα(t),t∈(0,1),x(0)=x(1)=0and got the conclusion that:(i) the positive solution is unique if λ<0,α>1 and α≠1;(ii) there has no positive solution if λ<0 and α<-1.
利用打靶法给出了一类边值问题x″(t)=λxα(t),t∈(0,1),x(0)=x(1)=0正解的确切个数,得到了(i)当λ<0,α>-1且α≠1时,该边值问题只有唯一的正解;(ii)当λ<0且α<-1时,该边值问题没有正解等结论。
5) Number for positive integral solution
正整数解的个数
1.
Number for positive integral solution of Diophantine equation x1+2x2+3x3+4k4=n is studied.
进一步给出了x1+2x2+3x3+4x4=n的正整数解的个数以及关于一般情形下的不定方程的正整数解的个数的递推关系。
6) Multiple positive periodic solution
多个正周期解
补充资料：正解
【正解】
（术语）正觉之略名也。正悟解法性也。唯识论一曰：“为于二空有迷谬者生正解故。”同述记一本曰：“言正解者，正觉异号。”
（术语）正觉之略名也。正悟解法性也。唯识论一曰：“为于二空有迷谬者生正解故。”同述记一本曰：“言正解者，正觉异号。”
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