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The Table of Contents for the book is as follows:
Volume 1
Preface
PLENARY INVITED LECTURES
Attractors for Dissipative Evolutionary Equations
Attractors for Nonlinear Parabolic Systems
Finite Volume Methods for Modelling the Compressible Navier-Stokes Equations
INVITED LECTURES
Equilibrium and Dynamics of Bubbles for the Cahn-Hilliard Equation
Simultaneous Normal Form and Center Manifold Reduction for Random Differential Equations
On the Bogdanov-Takens Bifurcation for Planar Diffeomorphisms
Reasons for a Failure. The Integration of the Two-body Problem with a Symplectic Runge-Kutta-Nyström Code with Stepchanging Facilities
Splitting of Separatrices in Rapidly Forced Systems
On the Impact of the Entropy Function in Computational Fluid Dynamics (by Finite Elements)
On a Conjecture due to J. L. Lions Concerning Weak Controllability for Navier-Stokes Flows
Homogenization of Reactive Transport Through Porous Media
Solution of Degenerate Parabolic Problems by Linear Approximation Schemes
Resurgent Approach to the Separatrices Splitting
Periodic Orbits of Periodic Differential Systems
Adaptive Least Squares Finite Element Methods for Flow Simulations on Unstructured Grids
On Destruction of Adiabatic Invariants in Multi-frequency Systems
Monotone Systems and Transversality
Dynamics of Scalar Semilinear Parabolic Equations
Non-conservative Hyperbolic Systems and Two-phase Flows
Singular Solutions and Asymptotic Behaviour of Nonlinear Parabolic Equations
COMMUNICATIONS
Singular Perturbation Analysis of the Coupling of Elliptic and Hyperbolic Differential Equations
Finite Element Error Bounds in Spectral Approximations
An Analysis of the Uniqueness of the Solutions of the One-dimensional Steady-state Semiconductor Device Equations
Geometric of Banach Spaces and Asymptotic and Nonasymptotic Properties of Monotone Equations of Evolution
Existence of Periodic Solutions of ODE via Fixed Point Theorems
Some Discontinuous Problems
Fourth Order Evolution Equations
Decay of Solutions for the Equations of Isothermal Gas Dynamics
A Note on the Charged Isosceles Three-body Problem
Stabilization: The New Look of Stability Theory
Exponential Trichotomies and Heteroclinic Orbits
An Asymptotic Study Near 4-resonance of Parametric Oscillator with Quadratic Nonlinears
High Precision Angles between Invariant Manifolds for Rapidly Forced Hamiltonian Systems
A Note on Wave Propagation in Random Media
Improved Method of Auxiliary Systems for Quasilinear Difference Equations
On Optimal Control Problems for Pseudoparabolic Variational Inequalities
Periodic Boundary Value Problems, a Bifurcation Analysis
Functional Extension of Gronwall's Inequality and Haar's Lemma
Finitely Smooth Linearization of an ODE System near a Hyperbolic Fixed Point
A General Approach to the Bifurcation Theory
A Nonlinear Model for Size-dependent Population Dynamics
On the Self Similar Solutions of the Nonlinear Schrödinger Equation
On the Continuation of the Solutions of Lagrange Equations for Holonomic Scleronomic Systems
A Green's Formula for Quasilinear Parabolic Operators
Knotted Periodic Orbits in Van der Pol Type Equations
Cauchy Problem for a Semi Linear Vector Wave Equation
Bifurcations in a Predator-prey Model with Memory and Diffusion
Integral Criteria for the Asymptotic Behavior of Solutions of Linear Differential Equations — The Duality Principle
Bifurcation of Limit Cycles of Quadratic System on the Plane
Asymptotic Equivalence of Fundamental Systems of Solutions for Sturm-Liouville Equations
Splitting-time and Exponential Fitting-space Discretizations for Diffusion-reaction Problems
Singular Limit Cycles for a Class of Differential Equations
Persistence of Invariant Tori in Hill's Problem
Effective Stability for Nearly Integrable Hamiltonian Systems
Functional Differential Equations with Linearly Transformed Arguments and their Applications
Existence of Multiple Solutions for First Order Integrodifferential Equations
Syzygy Solutions of the Planar Three-body Problem
On Boundary Problems for Loaded Equations
Connected Branches of Minimal Solutions to Semilinear Elliptic Equations in ℝn
On Asymptotic Properties of Solutions of Inhomogeneous Second Order Elliptic Equations in the Exterior of a Bounded Region
Solitary Waves and Bücklund Transformation of a Class of Nonlinear Dispersive Dissipative Differential Equations
Oscillation of Two-term Differential Equations through Asymptotics
The Oblique Derivative Problem for the Case of an Indefinite Weight
Normal Forms for Functional Differential Equations and Applications
The Existence of Incompressible, Nonconstant Density, Navier-Stokes 3D Flows in Unbounded Domains
Oscillations in Difference Equations
On a Class of Nonlinear Elliptic Boundary Problems in Unbounded Domains
Bogdanov Singularity in the Fitzhugh-Nagumo Equations
Volume 2
Symplectic Structure vs. Reversibility in the Bifurcation of Periodic Points of Maps
Oscillation in Delay Differential Equations with Piecewise Constant Arguments
Application of Global Optimization to Implicit Solution of Partial Differential Equations
Hopf-zero Bifurcation: Normal Form Calculation and Application to an Electronic Oscillator
The Frequency Plateaus for a Chain of Forced Oscillators
On Polynomial Systems with Invariant Algebraic Curves
Non-existence of Limit Cycles for Some Predator-prey Systems
Oscillations and Attractivity of Discrete Difference Equation
Instability of Symmetric Stationary States for Some Nonlinear Schrödinger Equations with an External Magnetic Field
Global Behaviour of Polynomial Differential Systems in the Positive Orthant
Dynamics of a Model Equation in Viscoelasticity
State Transition Matrix of Generalised Linear Differential Systems: A Matrix Pencil Based Approach
Solutions in Lebesgue Spaces of the Navier-Stokes Equations with Dynamic Boundary Conditions
Solutions of Prescribed Sign for BVP's with Asymmetric Nonlinearities
Bornage et Presque-périodicité des Solutions D'Équations Différentielles Dissipatives
Volterra Integro-differential Inequality and Boundedness Criteria
Global Existence of Small Solutions to Nonlinear Schrödinger Equations
Asymptotic Behavior of Solutions of Nonlinear Elliptic Equations with the Critical Sobolev Exponent
Convergence of Difference Methods for BVPs of Deviated Differential Equations
Perturbation Formula of Eigenvalues in a Domain with a Thin Handle
On Quasiperiodic Perturbations of Ordinary Differential Equations near Equilibrium Points
An Interactive Code to Solve Multipoint Boundary Value Problems
Moving Sensors for Parabolic Systems
Bifurcation of Critically Twisted Homoclinic Orbits
Small Periodic Solutions of Quasilinear Hyperbolic Equations
Existence and Uniqueness of Limit Cycles for a Special System of Differential Equations on the Plane
Regularity of Solutions for Quasilinear Parabolic Systems
Regularity Properties of Parabolic Measures
Existence of Strong Solutions to Certain Quasilinear Elliptic Problems
On the Solvability of Dirichlet's Problem for a Class of Nonlinear Elliptic and Parabolic Equations
On Integral Equations Arising in Numerical-analytic Method of Solving Boundary Value Problems for Differential Functional Equations
Dynamique de Système de Particules Soumises à des Percussions et au Frottement Sec
Attractivity and Oscillation for Neutral Equations
Forced Symmetry Breaking on Hemispheres
Dirichlet Problem for a Nonlinear Integrodifferential Semiconductor System from n-GaAs Model
On a Nonlinear Integrodifferential Equation of Parabolic Type
On the Uniqueness for the Periodic Lotka-Volterra Competition Model with Diffusion
Continuability of the Solutions of a Differential System without Uniqueness
Finite and Infinite Dimensional Dynamics Defined by Retarded Functional Differential Equations
Radial Solutions of Semilinear Elliptic Equations with Prescribed Numbers of Zeros
About a Fatou Theorem for the p-Laplacian and Related Estimates for the Hausdorff Dimension of the Support of Certain L-harmonic Measures
Explicit Solution of Coupled Differential-difference Systems Avoiding the Laplace Transform
Regular Motion in Sitnikov's Problem
Young Measures: Regularity Results in the Two Well Problem
Normal Form of Systems of Partial Differential and Pseudo-differential Operators in the Formal Symbol Class and Applications
Strongly Monotone Skew-product Semidynamical Systems and their Applications in Partial Differential Equations
On Hamiltonian Structure of Hydrodynamic Type Systems and the Korteweg-de Vries Type Hierarchies
Singularity Analysis for Two Dimensional Systems with an Oscillatory Forcing
On the Solvability of the Lamé Equation
Dynamics on Inertial Manifolds for Reaction-diffusion Systems in a Domain with Thin Channels
Nonlinear Boundary Value Problem and Inertial Manifold
An Asymptotic Analysis of Elasticity Problems in Non Compact Domains with Imperfections
On Partial Stability for Differential Inclusions
Dual Semigroups Associated with Linear Functional Differential Equations with Infinite Delay
Asymptotic Behaviour for Large Time of Solutions to Nonlinear Dissipative Evolutional Equations
A Long-term Integrator Based on Kirchgraber's LISP Code
Existence and Uniqueness of Stationary Solutions for Viscous Compressible Heat-conductive Fluid with Great Potential and Small Nonpotential Forces
Critical Growth for a Superlinear Elliptic Problem
A Model for Aggregating Populations
Olver's Form Asymptotics for the Localized Solution of the Schrödinger Equation
The Numerical Approximation of Stiff Systems of ODE's using Iterative Conjugate Gradient Variants
The Rotation Number of ODE's with a Chessboard Structure
Stationary Solutions to Infinite Dimensional Stochastic Equations and Nonstandard Analysis
On the Integrability of Complex Hamiltonian Systems
Some Remarks on the Singular Problem for the Scalar Parabolic Equation with Variable Diffusion
Inertial Manifolds, Symmetry and Applications: Dynamics on Thin Domains
Complex Periodic and Homoclinic Behaviour in an Autonomous Electronic Oscillator
On a Surjectivity Result for a Superlinear Sturm-Liouville Equation
A Geometric Condition for a Plane Critical Point to be Globally Asymptotically Stable
An Elliptic Semilinear Problem Arising in the Undulatory Behaviour of Nonlinear Diffusion Equations
Existence Theorems for n-th Order Boundary Value Problems
Two-point BVP for the Equations ẍ = f(t, x)2n+1 for Large n
Versal Normal Form and Quadratic Convergence
Asymptotic Behavior of Solutions of Non-autonomous Scalar Reaction-diffusion Equations
On the Existence of Wave Trains in Partly Dissipative Systems
Threshold Delay Differential Equations are Equivalent to Standard FDE's
L∞ Stability for Weak Solutions of the Navier-Stokes Equations in ℝ3 with Singular Initial Data
Quantitative Properties of Solution Sets to Lipschitzean Differential Inclusions
On Uniform Regularity Estimates and Robust Approximations for Parameter Dependent Problems
Moduli of Conjugacy in the Triple Collision Collinear Problem
Kalman's Rank Conditions for Infinite-dimensional Time-dependent Systems
Controllability Properties for Elliptic Systems
A Galerkin Type Approximation for Elliptic Problems
On the Existence of a Polynomial Lyapunov Function
Pitchfork Interactions in Equivariant Bifurcation Problems
On “Discontinuous” Boundary Value Problems for Pseudodifferential Operators
Stability of Some Nonlinear PD Feedback Control Systems
Product of Operator Semigroups as Solutions of Time-dependent Differential Equations
Volterra Lattice Wave Trains and the Whitham Method
A Conically Singular Solution to the Semilinear Wave Equation
Quasi-stationary Shock Waves for the Modified Burger's Equation
Problems and Conjectures in the Qualitative Theory of Planar Autonomous Differential Systems
On the Inversion of Smooth Functions
