In this paper, we study sensitivity analysis of the locally unique solution of a parametric variational inequality in a Hilbert space without assuming differentiability of the given data by establishing the equivalence of a parametric variational inequality and a parametric Wiener-Hopf equation. 本文在所给函数和映射均不可微的前提下,通过建立参数变分不等式和参数Wiener-Hopf方程的等价性,分析了Hilbert空间中参数变分不等式的局部唯一解的灵敏性。
The transform methods are used to reduce the boundary value problem to a single integral equation that can be solved by Wiener-Hopf technique. 求解方法是基于积分变换技术,将混合边值问题化为Wiener-Hopf型积分方程,求得了裂纹所在平面应力和位移的封闭形式解。
In this paper, the abstract boundary value problem of non-selfadjoint and non-compact operator with reflective boundary condition is studied. It is obtained that the this kind of problems is equal to a Wiener-Hopf equation and the well poset problem of the abstract boundary value is proved. 研究具反射边界条件,非自伴非紧算子的抽象边界问题,证明了它等价一个Wiener-Hopf方程,并证明了方程的适定性。
Fourier transform techniques are used to formulate this semi-infinite geometry problem rigorously as a Wiener-Hopf type equation. 利用Fourier变换,将这个半无限问题严格地归结为求解Wiener-Hopf型方程。
Based on compressing mapping theorem and fixed-point principle in modern mathematics, a non-linear iterative method for solution to famous Wiener-Hopf ( W-H) equation is proposed in this paper. 利用近代数学中的压缩映射定理和不动点原理,提出了一种解维纳-霍夫(W&H)议程的新方法-非线性迭代算法。