1) positive entire solutions
正整体解
1.
On the positive entire solutions to a class of semilinear elliptic equations;
一类半线性椭圆方程的正整体解及其渐近性态
2.
The existence of positive entire solutions of a class of singular, p-Laplace equations;
奇异p-Laplace方程的正整体解的存在性
3.
The existence of positive entire solutions for a class of semilinear elliptic equations in Rn is discussed.
首先给出此方程的径向解 ,并以它及上下解为主要工具证明了在不同条件下方程存在正整体解 。
2) positive entire solution
正整体解
1.
Existence of positive entire solutions of singular semilinear elliptic systems;
关于奇异半线性椭圆型方程组的正整体解的存在性
2.
Sufficient and necessary conditions for the existence of positive entire solutions of a class of quasilinear elliptic systems;
一类拟线性椭圆型方程组的正整体解存在的充分必要条件
3.
This paper investigates the existence of positive entire solutions to a class of nonlinear second order elliptic equations with singularity in Rn (n≥3).
本文研究了Ｒｎ（ｎ≥３）中一类带奇异性的非线性二阶椭圆方程正整体解的存在性。
3) positive entire solution
正的整体解
1.
This paper studies the existence of positive entire solutions of a class of singular nonlinear elliptic equations in R2 and offers the property of the solutions at infinity, and popularize the result of paper[1].
研究在R2中一类奇异的非线性精图型方程正的整体解的存在性及解在无穷远的性质，推广了文[1]的结果。
2.
This paper aims at establishing a theorem of the existence of positive entire solutionsabout singular nonlinear elliptic equations,presents the property of the solutions at infin-ty and extends the result of paper[1].
本文建立一类奇异的非线性椭圆型方程正的整体解的存在定理，并给出解在无穷远的增长性质，推广了文［１］的结果。
4) Bounded positive entire solution
有界整体正解
5) positive decaying entire solutions
正整体衰退解
6) positive integral solution
正整数解
1.
With a recursive sequence,quadratic remainder and congruence,the diophantine equation x2-3y4=97 is proved that it has only positive integral solutions(x,y)=(10,1).
运用递归数列,同余式和平方剩余证明了不定方程x2-3y4=97仅有正整数解(x,y)=(10,1)。
2.
Let p be a prime number,using Fermat Infinite method of descent,to study the positive integral solution of the equations x~4±3px~2y~2+3p~2y~4=z~(2) and x~4±6px~2y~2-3p~2y~4=z~(2).
设p为素数,利用F erm at无穷递降法,研究方程x4±3px2y2+3p2y4=z2与x4±6px2y2-3p2y4=z2正整数解的存在性,证明该方程在p≡5(m od 12)时均无正整数解,在p≡11(m od 12)时有解且有无穷多组正整数解,获得方程无穷多组正整数解的通解公式和方程的部分正整数解。
3.
By using computer language, we get all the positive integral solution of x2±xy+y2 = P and x2±xy+y2 = 3p within the scope of arbitrarily.
讨论了方程x2±xy+y2=k的可解性,利用C语言编写出方程x2±xy+y2=p和x2±xy+y2=3P的计算程序,并获得方程在一定范围内的所有正整数解。
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