临界点理论 meaning in English
critical point theory
Examples
- Some solvability conditions of periodic solutions are obtained for a class of first order superquadratic non - autonomous hamiltonian systems in light of the minimax methods of critical point theory
摘要运用临界点理论中的极小、极大方法得到一类超二次哈密顿系统的周期解的存在性的存在性定理。 - One hand , our results improve the corresponding results in [ 6 . 10 . 11 ] . on the other hand , some new results as to the existence of multiple solutions are obtained by using several multiplicity theorems in critical points theory
本文一方面对已有文献的结论加以推广，另一方面，运用临界点理论中的几个多解定理得到一些新的多重解的存在性结果。 - The existence of solutions for two - point boundary value problem subject to nonlinear second order differential equation is studied by many methods , such as iterative method , lower and upper solutions method , degree theory , critical theory and etc
非线性二阶常微分方程两点边值问题解的存在性的研究方法有很多，如迭代法、上下解方法、度理论、临界点理论等。 - 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