非线性泛函分析的英文
nonlinear functional analysis
例句与用法
- The study for the general principle on ordered sets in nonlinear functional analysis
非线性泛函分析序集一般原理的研究 - This paper mainly further studies several focus problems in nonlinear functional analysis , unites and generalizes some known results in recent literature
本文主要对非线性泛函分析中的几个热点问题作了进一步的分析和研究，对已有的结果进行了统一和推广。 - Professor guo dajun has summarized in his work [ 7 ] . such several important tasks and theirs application of nonlinear functional analysis as typical nonlinear operators , hammerstein integral operations , ordinarily and partially differential equations . the cone theory , the positive solutions of nonlinear operator equations , the number and the branch of solutions , and so on . reference [ 1 ] includes all levels of results of the domain such as nonlinear functional analysis
郭大钧先生在专著[ 7 ]中对非线性泛函分析的几个重要课题及其应用，诸如典型的非线性算子、 hammerstein积分方程、常、偏微分方程、迁移方程、锥理论及非线性算子方程的正解、非线性算子拓扑度和不动点定理以及固有值、解的个数与分支，都做了系统的概括和总结 - Nonlinear analysis is an important branch of modern analysis . it has been become a much more important tools for dealing with the nonlinear problems arising in many applied mathematics . it is also an important method for studying the nonlinear integral equations , the differential equations and partial equations
非线性泛函分析是现代分析数学的一个重要分支，是处理许多非线性问题的重要而有力的工具，在处理应用学科提出的各种非线性积、微分方程和偏微分方程中发挥着不可替代的作用 - Nonlinear functional analysis is a subject . old but fashionable . its abundant theories and advanced methods are providing powerful and fruitful tools in solving ever increasing nonlinear problems in the fields of science and technology . though the theories of integral and differential equations in banach spaces , as new branches of nonlinear functional analysis . have developed for no more than thirty years , they are finding extensive applications in such domains as the critical point theory , the theory of partial differential equa - tions , eigenvalue problems . and so on , are attracting much more attentions from both pure and applied mathematicians
非线性泛函分析是一门既悠久又现代的学科，它的丰富理论和先进方法为解决当今科技领域层出不穷的非线性问题提供了卓有成效的工具，作为自非线性泛函分析中衍生发展起来的新的分支， banach空间微分方程和积分方程理论虽经历了不足三十年的发展过程，然而它已被广泛应用于诸如临界点理论，偏微分方程理论，特征值问题等许多领域，其重要性日益凸现出来
