Book Volume 4 2014

Advances in Differential Equations and Applications

Editors:

ISBN: 978-3-319-06952-4 (Print) 978-3-319-06953-1 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages i-ix

  2. Partial Differential Equations

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-11

      A Degenerate Parabolic Logistic Equation

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      Chapter

      Pages 13-22

      Fast and Slow Boundary Oscillations in a Thin Domain

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      Chapter

      Pages 23-30

      A Corrector Result for the Wave Equation with High Oscillating Periodic Coefficients

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      Chapter

      Pages 31-39

      Weak Solutions to a Nonuniformly Elliptic PDE System in the Harmonic Regime

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      Chapter

      Pages 41-52

      Perturbation of Analytic Semigroups in Uniform Spaces in \(\mathbb{R}^{N}\)

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      Chapter

      Pages 53-61

      Nonlinear Nonlocal Reaction-Diffusion Equations

  3. Ordinary Differential Equations and Dynamical Systems

    1. Front Matter

      Pages 63-63

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      Chapter

      Pages 65-76

      Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients

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      Chapter

      Pages 77-84

      Building Non Singular Morse-Smale Flows on 3-Dimensional Lens Spaces

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      Chapter

      Pages 85-94

      Parameterization Method for Computing Quasi-periodic Reducible Normally Hyperbolic Invariant Tori

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      Chapter

      Pages 95-103

      Existence of Homoclinic and Heteroclinic Connections in Continuous Piecewise Linear Systems

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      Chapter

      Pages 105-112

      Study of Errors in the Integration of the Two Body Problem Using Generalized Sundman’s Anomalies

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      Chapter

      Pages 113-121

      Piecewise Linear Analogue of Hopf-Zero Bifurcation in an Extended BVP Oscillator

  4. Applications and Modeling

    1. Front Matter

      Pages 123-123

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      Chapter

      Pages 125-135

      On Multiresolution Transforms Based on Weighted-Least Squares

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      Chapter

      Pages 137-145

      Signal Denoising with Harten’s Multiresolution Using Interpolation and Least Squares Fitting

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      Chapter

      Pages 147-154

      The Wavelet Scalogram in the Study of Time Series

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      Chapter

      Pages 155-167

      A Simplified Wildland Fire Model Applied to a Real Case

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      Chapter

      Pages 169-182

      Functional Output-Controllability of Time-Invariant Singular Linear Systems

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      Chapter

      Pages 183-191

      Optimising the Welding Process in the Manufacture of Offshore Mooring Chains

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      Chapter

      Pages 193-201

      A Model of Traffic Flow in a Network

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      Chapter

      Pages 203-214

      Fire Spotting Effects in Wildland Fire Propagation

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