2) linear Fredholm integral equations of the second kind
第二类线性Fredholm积分方程
1.
In this paper,we discuss the iteration algorithm for linear Fredholm integral equations of the second kind.
讨论第二类线性Fredholm积分方程Galerkin解的迭代,在Long给出的迭代算法的基础上,提出一种简化的迭代算法,并保留其迭代解的精度。
3) nonlinear Volterra integral equation of the second kind
非线性的第二类Volterra积分方程
1.
In this paper, we apply Laplace transform to obtain an integral representation for the solution for American call options with continuous dividend, and get a nonlinear Volterra integral equation of the second kind for the optimal exercise boundary.
本文利用Lalplace变换方法得到带连续红利的美式石看涨期权价格的积分表示,以及最优执行边界满足的一个非线性的第二类Volterra积分方程。
4) Linear integral equation
线性积分方程
1.
In the linear integral equation φ(x)=f(x)+λ∫b ak(x,t)φ(t)dt,when the scope of λ extends from λ<1 (b-a)maxx,tk(x,t) into λ<1maxx ∫b ak(x,t)dt, the above equation also has its only solution.
线性积分方程 φ(x) =f(x) +λ∫bak(x ,t) φ(t)dt中 ,λ的取值范围由 λ <1(b -a)maxx ,t k(x ,t) 拓广为λ <1maxx ∫ba k(x ,t)dt时仍有唯一解。
2.
The linear integral equation φ(x)=f(x)+λ∫b ak(x,t)φ(t)dt has its unique solution after the extension of the scope of parameter λ,and if separate the function k(x,t)into the products of function H(x) and G(t),the general solution form of the equation is φ(x)=f(x)+αH(x),(α is a constant).
拓广线性积分方程φ(x)=f(x)+λ∫bak(x,t)φ(t)dt中参数λ的取值后,方程仍有唯一解,且当k(x,t)可以分离为两函数H(x)与G(t)之积时,该方程解的一般形式为:φ(x)=f(x)+aH(x)(α为常数)。
5) nonlinear integral equation
非线性积分方程
1.
As an application,we utilize this result to study the existence problem of solutions for some kind of nonlinear integral equations.
得出了一个新的不动点定理,推广了Alt man不动点定理,并利用这一新的不动点定理研究了一类非线性积分方程解的存在性问题。
2.
This paper deals with the problem for solving a class of nonlinear integral equations in reproducing kernel space W(Ω) .
本文在再生核空间中,利用再生核把非线性积分方程化为线性积分方程,研究了此类方程的求解问题,揭示了此类方程解的结构,存在性及多解等问题。
3.
The authors study the prob1em for so1ving a c1ass nonlinear integral equation in the reproducing kernel space W_2~1[a, b].
在再生核空间中，利用再生核方法，把一维非线性积分方程K_1uＫ_2u＝f转化为二维线性算子方程Ｋｕ＝ｆ。
6) nonlinear integral equations
非线性积分方程
1.
Furthermore, we utilize our results to study the non zero solution and positive solution and properties of the solution for a class of the nonlinear integral equations, and some new results are obtained.
得到凝聚映象的几个新的不动点定理 ,并用到一类非线性积分方程的非零解、正解和解的性状的研究上得出了新的结果 。
补充资料：第二
1.复姓。见《通志．氏族四》。
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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