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Differential and Difference Equations with Applications

Overview of attention for book
Differential and Difference Equations with Applications
Springer

Table of Contents

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    Book Overview
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    Chapter 1 On Asymptotic Behavior of Blow-Up Solutions to Higher-Order Differential Equations with General Nonlinearity
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    Chapter 2 Discrete Heat Equation with Shift Values
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    Chapter 3 A Note on the Existence for a Model of Turbulent Flows Through Porous Media
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    Chapter 4 Critical Point Approaches to Difference Equations of Kirchhoff-Type
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    Chapter 5 Continuous Selections of Solution Sets of a Second-Order Integro-Differential Inclusion
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    Chapter 6 Factorization Method and General Second Order Linear Difference Equation
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    Chapter 7 Homogeneous Boundary Problem for the Compressible Viscous and Heat-Conducting Micropolar Fluid Model with Cylindrical Symmetry
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    Chapter 8 Hermite–Fejer Polynomials as an Approximate Solution of Singular Integro-Differential Equations
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    Chapter 9 On Nonexistence of Solutions to Some Nonlinear Functional Differential Inequalities
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    Chapter 10 The Common Descent of Biological Shape Description and Special Functions
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    Chapter 11 Variational Iteration Method for Solving Problems with Integral Boundary Conditions
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    Chapter 12 Kirchhoff-Type Boundary-Value Problems on the Real Line
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    Chapter 13 Comparison of Known Existence Results for One-Dimensional Beam Models of Suspension Bridges
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    Chapter 14 A Certain Class of Harmonic Mappings Related to Functions of Bounded Radius Rotation
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    Chapter 15 Entropy of Nonautonomous Dynamical Systems
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    Chapter 16 A Proposal for an Application of a Max-Type Difference Equation to Epilepsy
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    Chapter 17 On the Maximum Principle for Systems with Delays
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    Chapter 18 Hyperbolicity and Solvability for Linear Systems on Time Scales
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    Chapter 19 Oscillation of Third-Order Nonlinear Neutral Differential Equations
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    Chapter 20 Conjecture on Fučík Curve Asymptotes for a Particular Discrete Operator
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    Chapter 21 Interval Difference Methods for Solving the Poisson Equation
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    Chapter 22 Gevrey Well Posedness of Goursat-Darboux Problems and Asymptotic Solutions
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    Chapter 23 Oscillation Criteria for a Difference System with Two Delays
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    Chapter 24 $$\log 0 = \log \infty = 0$$ and Applications
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    Chapter 25 Collocation Method to Solve Second Order Cauchy Integro-Differential Equations
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    Chapter 26 Approximative Solutions to Autonomous Difference Equations of Neutral Type
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    Chapter 27 Asymptotic Properties of Nonoscillatory Solutions of Third-Order Delay Difference Equations
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    Chapter 28 On Copson’s Theorem and Its Generalizations
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    Chapter 29 Global Asymptotic Stability of a Non-linear Population Model of Diabetes Mellitus
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    Chapter 30 On a Nonlocal Boundary Value Problem for First Order Nonlinear Functional Differential Equations
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    Chapter 31 Existence Results for Fuzzy Differential Equations via Truncation Operators Between an Upper and a Lower Solution and Fixed Point Results
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    Chapter 32 On Systems of Nonlinear ODE Arising in Gas Dynamics: Application to Vortical Motion
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    Chapter 33 Division by Zero Calculus and Differential Equations
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    Chapter 34 Optimality Conditions for Multidimensional Variational Problems Involving the Caputo-Type Fractional Derivative
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    Chapter 35 Maximum Principle for a Kind of Elliptic Systems with Morrey Data
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    Chapter 36 A Survey on the Oscillation of Delay Equations with A Monotone or Non-monotone Argument
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    Chapter 37 Discrete Versions of Some Dirac Type Equations and Plane Wave Solutions
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    Chapter 38 Analytic Representation of Generalized Möbius-Listing’s Bodies and Classification of Links Appearing After Their Cut
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    Chapter 39 Existence and Multiplicity of Periodic Solutions to Fractional p-Laplacian Equations
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    Chapter 40 Oscillation of Third Order Mixed Type Neutral Difference Equations
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    Chapter 41 The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales
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    Chapter 42 Oscillation of Sublinear Second Order Neutral Differential Equations via Riccati Transformation
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    Chapter 43 Steady and Unsteady Navier–Stokes Flow with Lagrangian Differences
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    Chapter 44 On Some Discrete Boundary Value Problems in Canonical Domains
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    Chapter 45 Asymptotic Behaviour in a Certain Nonlinearly Perturbed Heat Equation: Non Periodic Perturbation Case
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    Chapter 46 Mathematical Model for Optimising Bi-Enzyme Biosensors
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    Chapter 47 Fibonacci Series with Several Parameters
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    Chapter 48 Comparison Theorems for Second-Order Damped Nonlinear Differential Equations
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    Chapter 49 On Conditions for Weak Conservativeness of Regularized Explicit Finite-Difference Schemes for 1D Barotropic Gas Dynamics Equations
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    Chapter 50 Geometric Versus Automorphic Correspondence for Vertex Operator Algebra Modules
Attention for Chapter 24: $$\log 0 = \log \infty = 0$$ and Applications
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Chapter title
$$\log 0 = \log \infty = 0$$ and Applications
Chapter number 24
Book title
Differential and Difference Equations with Applications
Published by
Springer, Cham, June 2017
DOI 10.1007/978-3-319-75647-9_24
Book ISBNs
978-3-31-975646-2, 978-3-31-975647-9
Authors

Hiroshi Michiwaki, Tsutomu Matuura, Saburou Saitoh

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