Since the concept of locally fine point, which is the generalized regular point, was introduced, many problems in nonlinear functional analysis have been solved, such as the conjugacy problem, the rank theorem in advanced calculus and so on.
非线性泛函分析中一个著名的结果是 f的正则点全体是 E中的一个开子集。
In this paper some new advances in nonlinear functional analysis obtained by our research group are summarized.
概述了本课题组在非线性泛函分析方面所获得的一些新进展。
The study for the general principle on ordered sets in nonlinear functional analysis and its applications is an important problem in nonlinear functional analysis.
非线性泛函分析序集一般原理及其应用的研究是非线性泛函分析的重要研究课题。
Boundness of second order nonlinear functional differential equations;
一类二阶非线性泛函微分方程解的有界性
Oscillatory and asymptotic behavior of solutions of the second order nonlinear functional differential equation(a(t)(y (t)σ)+q(t)f(y(τ(t))g(y (t))=0,t≥t0 are considered, where σ is a positive quotient ofeven over odd integers.
研究了二阶非线性泛函微分方程(n(t)(y'(t))σ)+q(t)f(y(τ(t))g(y'(t))=0,t≥t0解的振动性 与渐近性,其中σ是一个偶数与奇数的正商时,所得的结果是全新的。
The general nonlinear functional differential equations with infinite delay was investigated.
研究一般的具有无穷时滞的非线性泛函微分方程。
Boundedness of second-order nonlinear functional differential equations;
关于二阶非线性泛函微分方程的有界性
Considers boundedness of solutions of nonlinear functional differential equations,obtains several new sufficient criterion.
对一类非线性泛函微分方程解的有界性进行探讨,得到了几个新的判别法则。
The existence of positive solutions for boundary value problem of a nonlinear functional difference equation with p-Laplacian operator is investigated, where Φp(u) = |u|p-2u, p > 1, (?)(0) = 0, C+ = {(?) :(?) C, (?)(k)≥ 0, k ∈ [-(?),0]}.
作者研究下述的p-Laplace型非线性泛函差分方程边值问题正解和多重正解的存在性,得到相应的充分条件,其中Φp(u)=|u|p-2u,P>1,(?)(0)= 0,C+={(?):(?)∈ C,(?)(k)≥0,k∈[-r,0])。
The existence of multiple positive periodic solutions to nonlinear functional difference equation is considered by using the Leggett-Williams fixed point theorem,and three positive periodic solutions of this problem are obtained.
利用Legett-Williams不动点定理对一类非线性泛函差分方程多个周期正解的存在性进行了讨论,得到该问题3个周期正解的充分条件。
The study for the general principle on ordered sets in nonlinear functional analysis and its applications is an important problem in nonlinear functional analysis.
非线性泛函分析序集一般原理及其应用的研究是非线性泛函分析的重要研究课题.
Nonlinear functional Analysis is an important branch of morderm mathmatics.
非线性泛函分析是现代分析数学的一个重要分支。
Theory and Methods of Nonlinear Functional Analysis and Applications in Quantative Problems of Equations;
非线性泛函分析的理论与方法在方程定性问题研究中的应用
Numerical Analysis of Nonlinear Neutral Functional Differential Equations;
非线性中立型泛函微分方程数值分析
Qualitative Analysis of Nonlinear Functional Differential with Application;
非线性泛函微分方程的定性分析及其应用
Oscillatory Property for Second Order Nonlinear Functional Differential Equations;
二阶非线性泛函微分方程的振动性质
Positive Periodic Solutions for a Class of Nonlinear Functional Differential Equations;
一类非线性泛函微分方程的周期正解
Oscillation Theorems for Second Order Nonlinear Functional Differential Equations;
二阶非线性泛函微分方程的振动准则
Numerical Stability Analysis for Nonlinear Volterra Functional Differential Equations in Abstract Spaces;
抽象空间中非线性Volterra泛函微分方程的数值稳定性分析
Long Time Behavior of the Solutions of Nonlinear Functional Differential Equations and Partial Functional Differential Equations;
非线性泛函微分方程和偏泛函微分方程解的长时间性态
The Incremental Functional in Nonlinear Elasticity and Dynamic Analysis Theory for Cable Structure of Finite Elastic Deformation
几何非线性弹性体的增量泛函及柔索的动态分析理论
Stability of Solutions of Three Kinds of Nonlinear Functional Differential Equations and Applications;
三类非线性泛函微分方程解的稳定性及其应用
Oscillation Properties of a Third Order Non-linear Delay Functional Differential Equation;
一类三阶非线性时滞泛函微分方程的振动性
Oscillation of Solutions for Second Order Nonlinear Differential Equation;
一类二阶非线性泛函微分方程解的振动性质
Oscillation Theorems for a Class of Second Order Nonlinear Functional Differential Equations
一类二阶非线性泛函微分方程的振动性定理
Oscillatory Property for a class of Second Order Nonlinear Functional Differential Equations
一类二阶非线性泛函微分方程的振动性质
Existence Theorem of Multiple Positive Periodic Solutions to Nonlinear Functional Difference Equation
一类非线性泛函差分方程周期正解的多解性
Oscillation of Second-order Nonlinear Functional Differential Equations
二阶非线性泛函微分方程的振动性(英文)