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双状态切换下BVP振子的复杂行为分析
切换系统 广义BVP 振子 双状态切换 Lyapunov 指数
2019/1/2
非线性切换系统具有广泛的工程背景，而传统的非线性理论不能直接用来解决其中的问题，因而成为当前国内外热点和前沿课题之一. 目前相关工作大都是围绕固定时间或单状态切换开展的，而实际工程系统大都属于多状态切换问题，同时多状态切换涉及到更为丰富的动力学行为. 本文基于两广义BVP 振子，通过引入双向切换开关，构建了双状态切换下的非线性动力学模型，进而研究状态切换导致的各种运动模式及其相应的产生机制. 应用...
非线性项依赖一阶导数共振情形下二阶三点BVP解的存在唯一性
非线性边值问题 存在性和唯一性 共振 上下解 Leray-Schauder度
2013/10/19
本文致力于研究共振情形下二阶三点边值问题 x''(t)+f(t,x(t),x'(t))=0,t∈(0,1),x(0)=0,x(1)=ξx(η),其中f:[0,1]×R2→R是一个连续函数,ξ>0,0<η<1满足ξη=1.运用先验界估计,微分不等式技巧和Leray-Schauder度理论得到了该边值问题解的存在性和唯一性.
The family index theorem and bifurcation of solutions of nonlinear elliptic bvp
Bifurcation Nonlinear Elliptic Boundary Value Problems Fredholm Maps Index Bundle J-homomorphism Family Index Theorem
2011/8/31
Abstract: We obtain some new criteria for bifurcation of solutions of general boundary value problems for nonlinear systems of elliptic partial differential equations which are rather different from t...
Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations
Second order differential equation with p-Laplacian generalized Sturm-Liouville boundary value problem fixed point theorem in cone
2011/4/6
This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficien...
Solutions for 2nth order lidstone BVP on time scales
Lidstone boundary value problem upper and lower solutions fixed point theorem positive solution
2010/2/25
In this paper, we prove the existence of solutions for nonlinear Lidstone boundary value problems by using the monotone method on time scale and also we show the existence of at least one positive sol...
高阶差分方程Lidstone BVP的特征值问题
离散Lidstone BVP 特征值 不动点定理 正解
2007/12/12
应用锥上的不动点定理和锥理论,我们在对非线性项的不同假设下分别得到 了一类$2m$阶离散Lidstone BVP特征值的存在区间.