Advances in Applied Mathematics

Advances in Applied MathematicsVol.1,No.1 (August 2012)

service@scirp.org — 2012-08-23

一类考虑接种的结核病模型的稳定性分析
Dynamics of a TB Model with Vaccination
结核病模型；接种；Lyapunov函数；全局渐近稳定；一致持续
TB Model; Vaccination; Lyapunov Function; Globally Asymptotically Stable; Uniformly Persistent
Paper Information Full Paper: PDF (Size:275KB)
DOI: 10.12677/AAM.2012.11001

求解随机广义互补问题的期望残差最小化方法
Expected Residual Minimization Method for Stochastic Generalized Complementary Problems
随机广义互补问题；NCP函数；期望残差最小化方法；拟蒙特卡罗方法
Stochastic Generalized Complementary Problems; NCP Function; Expected Residual Minimization Method; Quasi-Monte Carlo Method
Paper Information Full Paper: PDF (Size:170KB)
DOI: 10.12677/AAM.2012.11002

一类特殊结构对称矩阵三元组(M、C、K)的逆二次特征问题
On the Quadratic Inverse Eigen-Problem for the Special Triple (M, C, K) of Symmetric Matrix
二次特征问题；逆二次特征问题；逆二次特征对问题
Quadratic Eigenvalue Problem; Quadratic Inverse Eigen-Problem;Quadratic Inverse Eigenpairs Problem
Paper Information Full Paper: PDF (Size:213KB)
DOI: 10.12677/AAM.2012.11003

时标上三阶带脉冲的P-Laplacian动力方程边值问题
Three Order Impulsive Boundary Value Problem with P-Laplacian on Time Scales
边值问题；脉冲；不动点定理；时标
Boundary Value Problem; Impulsive; Fixed Point Theorem; Time Scale
Paper Information Full Paper: PDF (Size:186KB)
DOI: 10.12677/AAM.2012.11004

基于SVAR模型研究实际利率对我国A股市场的影响
Based on SVAR Model to Research the Actual Interest Rate in the Influence of the A Share Market
股票市场；SVAR模型；利率调整；股票价格；交易量
The Stock Market; SVAR Model; Interest Rate; Adjust Stock Price; Volume
Paper Information Full Paper: PDF (Size:481KB)
DOI: 10.12677/AAM.2012.11005

Advances in Applied MathematicsVol.1,No.2 (November 2012)

service@scirp.org — 2012-11-28

一类Thomson方程边值问题解的相似构造法
Similar Constructive Method of Solution for a Class of Boundary Value Problem of Thomson Equation
边值问题；Thomson方程；相似构造法；相似核函数；引解函数
Boundary Value Problem; Thomson Equation; Similar Constructive Method; Similar Kernel Function; Function of Guide Solution
Paper Information Full Paper: PDF (Size:387KB)
DOI: 10.12677/aam.2012.12006

含裂纹功能梯度材料热接触的奇异积分方程方法
Singular Integral Equation Method for Thermal Contact Problem of FGM with Crack
奇异积分方程；热接触问题；功能梯度材料；裂纹
Singular Integral Equation; Thermal Contact Problem; Functionally Graded Material; Crack
Paper Information Full Paper: PDF (Size:1519KB)
DOI: 10.12677/aam.2012.12007

二维非定常Navier-Stokes方程的Euler隐/显格式子格涡旋粘性非协调有限元法
The Euler Implicit/Explicit Schemes with Nonconforming Finite Element Method of Subgrid Eddy Viscosity Type for the 2D Time-Dependent Navier-Stokes Equations
Euler隐/显格式；子格涡旋粘性法；非协调C-R元
Euler Implicit/Explicit Schemes; Subgrid Eddy ViscosityMethod;Nonconforming C-R Element
Paper Information Full Paper: PDF (Size:330KB)
DOI: 10.12677/aam.2012.12008

Advances in Applied MathematicsVol.2,No.1 (February 2013)

service@scirp.org — 2013-02-26

跳扩散模型下国内外利率随机的双币种期权定价
Pricing Quanto Options in a Jump-Diffusion Model with Stochastic Domestic and Foreign Interest Rates
双币种期权；跳扩散模型；Hull-White随机利率模型；鞅方法
Quanto Options; Jump-Diffusion Model; Hull-White Stochastic Interest Rates; Martingale Method
Paper Information Full Paper: PDF (Size:917KB)
DOI: 10.12677/AAM.2013.21001

一类食饵具有避难所的Leslie-Gower模型的稳定性及最优税收
Stability and Optimal Tax for a Kind of Leslie-Gower Model with Prey Refuge
Leslie-Gower模型；平衡点；全局渐近稳定；最优税收
Leslie-Gower Model; Equilibrium Point; Globally Asymptotic Stability; Optimal Taxation
Paper Information Full Paper: PDF (Size:167KB)
DOI: 10.12677/AAM.2013.21002

并行求解抛物型偏微分方程的一种新ASE-I格式
A New ASE-I Method for Solving Parabolic Equations
抛物型方程；差分格式；并行算法
Parabolicl Equations; Parallel Algorithm; Difference Scheme
Paper Information Full Paper: PDF (Size:351KB)
DOI: 10.12677/AAM.2013.21003

一类高阶n维非线性伪双曲方程组的初边值问题
The Initial Boundary Value Problems for a Class of Multidimensional Nonlinear Pseudo-Hyperbolic System of Higher Order
非线性伪双曲方程组；先验估计；Galerkin方法；Sobolev嵌入定理；整体强解
Nonlinear Pseudo-Hyperbolic System; Priori Estimate; Galerkin Method; Sobolev Imbedding Theorems; The Global Strong Solutions
Paper Information Full Paper: PDF (Size:498KB)
DOI: 10.12677/AAM.2013.21004

非线性波动方程的时间周期解
The Time-Periodic Solution for Nonlinear Wave Equation
Kuramoto-Sivashinsky方程；伽辽金方法；Leray-Schauder不动点定理
Kuramoto-Sivashinsky Equation; Galerkin Method; Leray-Schauder Fixed Point Theorem
Paper Information Full Paper: PDF (Size:405KB)
DOI: 10.12677/AAM.2013.21005

一个广义变系数KdV方程新的精确解
New Exact Solutions of a Generalized KdV Equation with Variable Coefficients
广义变系数KdV方程；指数函数方法；精确解
Generalized KdV Equation with Variable Coefficients; Exp-Function Method; Exact Solutions
Paper Information Full Paper: PDF (Size:161KB)
DOI: 10.12677/AAM.2013.21006

一个修改的LS非线性共轭梯度算法
A Modified LS Nonlinear Conjugate Gradient Algorithms
共轭梯度法；下降性；全局收敛性
Conjugate Gradient Method; Descent Property; Global Convergence
Paper Information Full Paper: PDF (Size:409KB)
DOI: 10.12677/AAM.2013.21007

Advances in Applied MathematicsVol.2,No.2 (May 2013)

service@scirp.org — 2013-05-23

基于函数调控的生态经济系统动态模拟分析
Dynamic Simulation Analysis of Ecological Economic System Based on the Functional Control
生态经济系统；利润函数；成本函数；经济因素；动态模拟
Ecological Economic System; Revenue Function; Cost Function; Economic Factor; Dynamic Simulation
Paper Information Full Paper: PDF (Size:371KB)
DOI: 10.12677/AAM.2013.22008

垂直传染脉冲免疫以及非单调发病率的传染病模型
Epidemic Model with Vertical Transmission and Pulse Vaccination and Non-Monotonic Incidence Rate
SIRS型传染病模型；非单调发病率；脉冲免疫；垂直传染；全局渐近稳定
SIRS Epidemic Model; Non-Monotone Incidence Rate; Impulsive Vaccination; Vertical Transmission; Globally Asymptotically Stable
Paper Information Full Paper: PDF (Size:246KB)
DOI: 10.12677/AAM.2013.22009

基于虚位移原理的动态随机有限元方法理论推导
Theoretical Inference of the Dynamic Stochastic Finite Element Method Based on the Virtual Displacement Principle
虚位移原理；摄动技术；八节点四边形对称等参单元；动态随机有限元
Virtual Displacement Principle; Perturbation Technology; Axisymmetric Isoparametric Quadrilateral Element with Eight-Nodes; Dynamic Stochastic Finite Element
Paper Information Full Paper: PDF (Size:268KB)
DOI: 10.12677/AAM.2013.22010

一类SEIRS传染病模型的全局稳定性
The Global Stability of a SEIRS Epidemic Model
SEIRS模型；全局稳定性；非线性发病率；Lyapunov函数；复合矩阵
SEIRS Model; Global Stability; Nonlinear Incidence; Lyapunov Function; Compound Matrix
Paper Information Full Paper: PDF (Size:232KB)
DOI: 10.12677/AAM.2013.22011

一类新的双层纺织材料厚度设计反问题
A New Inverse Problem of Thickness Design for Bi-Layer Textile Material
双层纺织材料；厚度设计；热湿传递；反问题；最大概率最小模
Bi-Layer Textiles; Thickness Design; Heat and Moisture Transfer; Inverse Problem; A Minimum Norm with a Maximum Probability
Paper Information Full Paper: PDF (Size:682KB)
DOI: 10.12677/AAM.2013.22012

Advances in Applied MathematicsVol.2,No.3 (August 2013)

service@scirp.org — 2013-07-29

抛物方程基于POD的降阶外推有限元格式
A POD-Based Reduced-Order Extrapolating Finite Element Formulation for Parabolic Equations
特征投影分解方法；降阶外推有限元格式；误差估计
Proper Orthogonal Decomposition (POD) Technique; Reduced-Order Extrapolating Finite Element Formulation; Error Estimate
Paper Information Full Paper: PDF (Size:902KB)
DOI: 10.12677/AAM.2013.23013

基于相似结构的算法设计
Algorithms Design Based on Similar Structure
MATLAB程序；算法设计；仿真实验；相似结构
MATLAB Programming; Algorithms Design; Simulation Experiment; Similar Structure
Paper Information Full Paper: PDF (Size:676KB)
DOI: 10.12677/AAM.2013.23014

带有Chaplygin压强的Aw-Rascle交通模型含有狄拉克函数初值的黎曼问题
The Riemann Problem with Delta Initial Data for the Chaplygin Pressure Aw-Rascle Traffic Model
Aw-Rascle交通模型；广义Rankine-Hugoniot条件；Delta-激波；线性退化；熵条件
Aw-Rascle Traffic Model; Generalized Rankine-Hugoniot Relation; Delta Shock Wave; Linearly Degenerate; Entropy Condition
Paper Information Full Paper: PDF (Size:260KB)
DOI: 10.12677/AAM.2013.23015

一类渔业生态扩散系统的动力性分析
The Dynamical Analysis of a Fishery Ecosystem Diffusion Model
捕食与被捕食渔业模型；稳定性；线性化方法；波前解；上下解方法
Prey-Predator Fishery Model; Stability; Linearized Method; Traveling Wavefront; Upper andLower Solution
Paper Information Full Paper: PDF (Size:510KB)
DOI: 10.12677/AAM.2013.23016

一个Toda晶格方程的条件对称
Conditional Symmetries of a Toda Lattice Equation
Toda晶格方程；条件对称；相似约化；Lie点对称
Toda Lattice Equation; Conditional Symmetries; Similarity Reduction; Lie Point Symmetry
Paper Information Full Paper: PDF (Size:175KB)
DOI: 10.12677/AAM.2013.23017

Advances in Applied MathematicsVol.2,No.4 (November 2013)

service@scirp.org — 2013-11-26

对称Levy乘性噪声下平均首次逃逸时问题的计算分析
A Computational Analysis for First Mean Exit Time under Symmetrical Levy Multiplicative Noise
随机动力系统；非高斯Levy运动；跳测度；首次逃离时
Stochastic Dynamical Systems; Non-Gaussian Levy Motion; Levy Jump Measure; First Exit Time
Paper Information Full Paper: PDF (Size:380KB)
DOI: 10.12677/AAM.2013.24018

给定顶点和最大度树图的最大Sum-Balaban指标
The Maximum Sum-Balaban Index of Tree Graph with Given Vertices and Maximum Degree
Sum-Balaban指标；树图；Greedy树
Sum-Balaban Index; Tree Graph; Greedy Tree
Paper Information Full Paper: PDF (Size:170KB)
DOI: 10.12677/AAM.2013.24019

支付红利下Black-Scholes方程的交替分段C-N格式解法
Alternating Segment C-N Algorithm for Black-Scholes Equation with Dividend Paying
支付红利的Black-Scholes方程；交替分段Crank-Nicolson格式(ASC-N格式)；并行计算；数值试验
The Payment of Dividend Black-Scholes Equation; Alternating Segment Crank-Nicolson Scheme; Parallel Computing; Numerical Experiment
Paper Information Full Paper: PDF (Size:1585KB)
DOI: 10.12677/AAM.2013.24020

藕合的AKNS方程的可积离散化
Integrable Discretization of the Coupled AKNS Equation
AKNS方程；Hirota方法；可积离散化；孤子解
AKNS Equation; The Hirota Method; Interable Discretization; Soliton Solution
Paper Information Full Paper: PDF (Size:165KB)
DOI: 10.12677/AAM.2013.24021

一个CH-KP方程的孤立圈波
The Solitary Loop Wave Solution of a CH-KP Equation
CH-KP方程；行波方程；平衡点；孤立圈波
CH-KP Equation; Travelling Wave Equation; Equilibrium Point; Solitary Loop Wave
Paper Information Full Paper: PDF (Size:206KB)
DOI: 10.12677/AAM.2013.24022

相似结构算法在求两区复合Thomson方程边值问题中的改进
The Improvement of Similar Structure Algorithm in Solving Boundary Value Problem of Two Region Composite Thomson Equation
两区复合；相似结构算法；Thomson方程；仿真实验
Two Areas Complex; Similar Structure Algorithm; Thomson Equation; Simulation Experiment
Paper Information Full Paper: PDF (Size:455KB)
DOI: 10.12677/AAM.2013.24023

多元插值格式的计算机实现
Acquired by Computer on the Schemes of Multivariate Interpolation
适定结点组；多元多项式；多元插值
Well-Posed Node Set; The Multivariate Polynomial; The Multivariate Interpolation
Paper Information Full Paper: PDF (Size:703KB)
DOI: 10.12677/AAM.2013.24024

八个点的极小非环面图
Minimal Nontoroidal Graphs on Eight Vertices
嵌入；亏格；极小非环面图
Embedding; Genus; Minimal Nontoroidal Graph
Paper Information Full Paper: PDF (Size:394KB)
DOI: 10.12677/AAM.2013.24025

非线性离散的Klein-Gordon方程的对称约化
Symmetries of the Discrete Nonlinear Klein-Gordon Eq-uation
Klein-Gordon方程；相似变换；不变解
Klein-Gordon Equation; Similarity Transformation; Invariant Solution
Paper Information Full Paper: PDF (Size:132KB)
DOI: 10.12677/AAM.2013.24026

Advances in Applied MathematicsVol.3,No.1 (February 2014)

service@scirp.org — 2014-02-14

一类非线性发展方程整体强解的存在性研究
The Existence of Global Strong Solution for a Class of Nonlinear Evolution Equations
非线性发展方程方程；Galerkin方法；整体强解；多项式指数增长
Nonlinear Evolution Equations; Galerkin Method; Global Strong Solution; Polynomial Exponential Growth
Paper Information Full Paper: PDF (Size:297KB)
DOI: 10.12677/AAM.2014.31001

无爪图中子图的度和与Hamilton连通性
The Hamilton-Connectivity with the Sum Degree of Subgraph in Claw-Free Graphs
无爪图；不相邻子图；子图的度；Hamilton路
Claw-Free Graph; Non-Adjacent Subgraph; Degree of Subgraph; Hamilton-Path
Paper Information Full Paper: PDF (Size:371KB)
DOI: 10.12677/AAM.2014.31002

一个N⊗+∞系统量子态的纠缠判据
An Entanglement Criterion for States in N⊗+∞System
无限维量子系统；生成元；纠缠判据
Infinite Dimensional Quantum Systems; The Generators of ; Entanglement Criterion
Paper Information Full Paper: PDF (Size:212KB)
DOI: 10.12677/AAM.2014.31003

一种确定性小世界网络模型平均路径长度的逼近方法
An Approximation Algorithm for Average Path Length in A Small-World Network Model
图论；平均路径长度；小世界网络
Graph Theory; Small-World Network; Average Path Length
Paper Information Full Paper: PDF (Size:356KB)
DOI: 10.12677/AAM.2014.31004

用分子信标作为粘贴串的DNA计算模型的逻辑门
Using Molecular Beacons as Paste Series Computing Model of a Logic Gate
DNA粘贴模型；分子信标；逻辑门；DNA计算
DNA Sticker Model; Molecular Beacon; Logic Gate; DNA Computing
Paper Information Full Paper: PDF (Size:250KB)
DOI: 10.12677/AAM.2014.31005

赌博的微分方程模型及定性分析
A Qualitative Analysis of Model of Differential Equations of Gambling
赌博；奇点；相图
Gambling; Singular; Phase Diagram
Paper Information Full Paper: PDF (Size:291KB)
DOI: 10.12677/AAM.2014.31006

一类图的第二小和第三小Hosoya指标
A Kind of Graphs with the Second and Third Minimal Hosoya Index
Hosoya指标；m-匹配；点粘接图
Hosoya Index; m-Matching; Vertex Gluing Graph
Paper Information Full Paper: PDF (Size:398KB)
DOI: 10.12677/AAM.2014.31007

Advances in Applied MathematicsVol.3,No.2 (May 2014)

service@scirp.org — 2014-05-13

曲面上色临界图点数的上界
Upper Bound for the Number of Vertices of Color-Critical Graphs on Surfaces
嵌入，亏格，着色，色临界图
Embedding, Genus, Coloring, Color-Critical Graph
Paper Information Full Paper: PDF (Size:480KB)
DOI: 10.12677/AAM.2014.32008

显式计算Z₂对称系统的Hopf和Bautin分岔
Explicit Computations of Hopf and Bautin Bifurcations in Z₂-Symmetric Systems
Hopf分岔，Bautin分岔， Z₂对称，规范型，同调方法Hopf Bifurcation, Bautin Bifurcation, Z₂-Symmetric, Normal Form, Homogical Method
Paper Information Full Paper: PDF (Size:541KB)
DOI: 10.12677/AAM.2014.32009

T-D猜想上多输出布尔函数构造
Construction of Vectorial Boolean Function Based on T-D Conjecture
多输出布尔函数，代数免疫度，Bent函数，平衡性，非线性度
Vectorial Boolean Functions, Algebraic Immunity, Bent Function, Balancedness, Nonlinearity
Paper Information Full Paper: PDF (Size:504KB)
DOI: 10.12677/AAM.2014.32010

随机Hopfield神经网络渐进行为的变互式凸组合方法
Reciprocally Convex Approach to Asymptotic Behavior of Stochastic Hopfield Neural Networks
Hopfield神经网络，有界性，均方指数稳定，变互式凸组合方法
Hopfield Neural Networks, Boundedness, Mean Square Exponential Stability, Reciprocally Convex Approach
Paper Information Full Paper: PDF (Size:636KB)
DOI: 10.12677/AAM.2014.32011

复Hamilton矩阵的特征值问题
The Eigenvalues Problem for Complex Hamilton Matrix
特征值，特征向量，Hamilton矩阵
Eigenvalue, Eigenvector, Hamilton Matrix
Paper Information Full Paper: PDF (Size:390KB)
DOI: 10.12677/AAM.2014.32012

随机脉冲时刻下微分系统的稳定性
Stabilization of Differential Systems with Random Impulsive Effect
脉冲微分系统，P阶指数稳定性，随机过程，Lyapunov直接法，充分条件
Impulsive Differential System, P-Moment Exponential Stability, Stochastic Process, Lyapunov’s Direct Method, Sufficient Conditions
Paper Information Full Paper: PDF (Size:311KB)
DOI: 10.12677/AAM.2014.32013

非线性代数方程组的一种数值解法
A Numerical Method for Solving the Nonlinear Algebraic Equations
新消元法，二分法
A New Method of Elimination, Dichotomy
Paper Information Full Paper: PDF (Size:332KB)
DOI: 10.12677/AAM.2014.32014

一类广义Bezout矩阵的研究
Study on a Generalized Bezout Matrix
双线性变换函数，多项式基，Bezout矩阵，三角分解
Bilinear Transformation Function, Polynomial Basis, Bezout Matrix, Triangular Decomposition
Paper Information Full Paper: PDF (Size:382KB)
DOI: 10.12677/AAM.2014.32015

基于BP网络的手写体数字图片特征提取
BP Network Based on Handwritten Digital Image Feature Extraction
BP网络，7个不变矩，字符势能
BP Network, Seven Invariant Moments, Characters Potential
Paper Information Full Paper: PDF (Size:532KB)
DOI: 10.12677/AAM.2014.32016

稀疏过程下考虑多因素的比例再保险风险模型
An Insurance Model with Sparse Process Considering Some Factors of the Proportional Reinsurance
破产概率，稀疏过程，比例再保险，红利
Ruin Probability, Sparse Process, Proportional Reinsurance, Dividend Payments
Paper Information Full Paper: PDF (Size:420KB)
DOI: 10.12677/AAM.2014.32017

带非局部源的p-Laplace发展方程解的熄灭
Extinction for a Class of p-Laplace Evolution Equation with Nonlocal Sources
快速扩散系统，有限时间熄灭，非局部源
Fast Diffusion System, Extinction in Finite Time, Nonlinear Sources
Paper Information Full Paper: PDF (Size:437KB)
DOI: 10.12677/AAM.2014.32018