Mathematical Analysis With Applications

Table of Contents

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   Book Overview
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   Chapter 1 On Abstract Volterra Equations in Partially Ordered Spaces and Their Applications
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   Chapter 2 On Implicit Abstract Volterra Equations in Metric Spaces
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   Chapter 3 On the Choice of Parameters of the Method of Dynamic Regularization for the Problem of Differentiation
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   Chapter 4 Crank–Nicolson Numerical Algorithm for Nonlinear Partial Differential Equation with Heredity and Its Program Implementation
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   Chapter 5 On Coincidence Points of Mappings Between Partially Ordered Sets
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   Chapter 6 An Algorithm for Constructing Reachable Sets for Systems with Multiple Integral Constraints
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   Chapter 7 Similarity and Structural Stability with Respect to Delay of FDE Phase Portraits
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   Chapter 8 Real-Time Modeling of System State During the Process of More Precise Estimation of the Initial Position
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    Chapter 9 Finite Difference Scheme for Special System of Partial Differential Equations
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    Chapter 10 On URANS Congruity with Time Averaging: Analytical Laws Suggest Improved Models
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    Chapter 11 Geometric Singularities of the Solution of the Dirichlet Boundary Problem for Hamilton–Jacobi Equation with a Low Order of Smoothness of the Border Curve
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    Chapter 12 Applications of the Theory of Covering Maps to the Study of Dynamic Models of Economic Processes with Continuous Time
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    Chapter 13 Smooth Solutions of Linear Functional Differential Equations of Neutral Type
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    Chapter 14 On an Inverse Problem to a Mixed Problem for the Poisson Equation
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    Chapter 15 Stabilization of the Two Degree of Freedom Linear Milling Model
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    Chapter 16 Stochastic Sensitivity Analysis and Control in the Bistable Electronic Generator
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    Chapter 17 Noise-Induced Effects in Goldbeter Model
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    Chapter 18 Piecewise Smooth Map of Neuronal Activity: Deterministic and Stochastic Cases
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    Chapter 19 Analysis of Spatial Patterns in the Distributed Stochastic Brusselator
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    Chapter 20 Stochastic Splitting of Oscillations in a Discrete Model of Neural Activity
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    Chapter 21 Stochastic Deformation of Invariant Tori In Neuron Model
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    Chapter 22 Resolvability of Pseudocompact Spaces at a Point
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    Chapter 23 Fast Algorithms for Function Decomposition Based on n -Separate Periodic Wavelets
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    Chapter 24 3D Visualization to Analyze Multidimensional Biological and Medical Data
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    Chapter 25 The Peculiarities of Calcium Sparks Formation in Cardiac Cells in Silico
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    Chapter 26 A Configurable Algorithm for Determining the Mean Sarcomere Length of a Cardiomyocyte By Discrete Fourier Transform
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    Chapter 27 Simulation of Low-Voltage Cardioversion in a Two-Dimensional Isotropic Excitable Medium Using Ionic Cell Models
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    Chapter 28 The Influence of Left Ventricle Wall Thickness and Scar Fibrosis on Pseudo-ECG
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    Chapter 29 Modeling the Effect of Ion Channel Inhibitors on the Functioning of the Cardiac Sinoatrial Node Cells
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    Chapter 30 The Influence of Ryanodine Receptors’ Non-uniform Arrangement on the Probability of Ca $$^{2+}$$ Sparks
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    Chapter 31 Methods of Evaluating the Adaptation of the Body of Agricultural Workers to Changing Conditions of Social and Industrial Environment
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    Chapter 32 Development of Mathematical Model of Circular Grill of Piece-Smooth Profiles and Creation on Its Basis of Gas-Sucking Fans
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    Chapter 33 Mathematical Model of Conformal Mappings in the Theory of Radial Grids of Mine Turbomachines
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    Chapter 34 Mathematical Model of Hydrovortex Hetero-Coagulation
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    Chapter 35 Methodology for Assessing the Level of the Territory’s Economic Security
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    Chapter 36 The Third Dimension of the Supply-Demand Diagram
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    Chapter 37 Proximity Full-Text Searches of Frequently Occurring Words with a Response Time Guarantee
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    Chapter 38 Development and Research of Algorithm For Coordinates Correction on the Basis Of Microrelief
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    Chapter 39 Method for Constructing Orthorectified Satellite Image Using Stereo Imagery and Digital Surface Model
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    Chapter 40 An Effective Subgradient Method for Simultaneous Restoration and Segmentation of Blurred Images