Evolution Equations Research Compendium: Volume 2

[BOOK DESCRIPTION]

This book presents and discusses new developments in the study of evolution equations. Topics discussed include global attractors for semi-linear parabolic equations with delays; exact controllability for the vibrating plate equation in a n smooth domain; weighted pseudo almost automorphic solutions for some partial functional differential equations in fading memory spaces; periodic solutions to the n-linear parabolic equation; and infinite-time admissibility of observation operators for volterra systems.

[TABLE OF CONTENTS]
Preface                                            ix
    Chapter 1 Global Attractors for Semilinear     1  (22)
    Parabolic Equations with Delays
          C.T. Anh
          L.V. Hieu
          T.T. Loan
    Chapter 2 Exact Controllability for the        23 (18)
    Vibrating Plate Equation in a Non Smooth
    Domain
          Gilbert Bayili
          Mary Teuw Niane
          Abdoulaye Sene
    Chapter 3 Weighted Pseudo Almost               41 (20)
    Automorphic Solutions For Some Partial
    Functional Differential Equations in Fading
    Memory Spaces
          Samir Fatajou
          Mary Teuw Niane
          Abdoulaye Sene
    Chapter 4 Periodic Solutions to the            61 (16)
    Nonlinear Parabolic Equation
          Svetlin Georgiev Georgiev
    Chapter 5 Infinite-Time Admissibility of       77 (10)
    Observation Operators for Volterra Systems
          Jian-Hua Chen
    Chapter 6 Global Solutions and Asymptotic      87 (22)
    Behavior of Compressible Navier-Stokes
    Equations
          Wuming Li
          Quansen Jiu
    Chapter 7 Two Semigroups of Bounded Linear     109(8)
    Operators
          Yu Lin
          Jian-Hua Chen
    Chapter 8 Asymptotic Behavior of Solutions     117(6)
    of the One-Dimensional Heat Equation
          Alexander I. Kheyfits
          Juan B. Lacay
    Chapter 9 Almost Automorphic Solutions of      123(8)
    Some Semilinear Fractional
          Gisele M. Mophou
    Chapter 10 The Smoothness With Respect to      131(20)
    Time Variable of the Solution for the
    Second Initial Boundary Problem for
    Hyperbolic Systems in Infinite Cylinders
    with Non-Smooth Base
          Nguyen Manh Hung
          Phung Kim Chuc
    Chapter 11 First-Order Nonlinear Evolution     151(18)
    Equations and Yosida Approximations Based
    on the Relative Maximal Monotonicity
          U. Verma
    Chapter 12 On the Regularity of the            169(22)
    Solutions for the First Initial Boundary
    Value Problem for Hyperbolic Systems in
    Infinite Cylinder with Non-Smooth Base
          Nguyen Manh Hung
          Bui Trong Kim
    Chapter 13 Spectral Criteria for the Almost    191(20)
    Periodicity of Non-Autonomous Boundary
    Cauchy Problems
          T. Akrid
          L. Maniar
    Chapter 14 Existence of Sp-Almost Periodic     211(26)
    Solutions to Some Functional Stochastic
    Integra-Differential Evolution Equations
          Paul H. Bezandry
    Chapter 15 Corrigendum to: Pseudo Almost       237(4)
    Automorphic Solutions of a Neutral
    Functional Fractional Differential Equations
          Gisele M. Mophou
          Gaston M. N'Guerekata
          Vincent Valmorin
    Chapter 16 Remarks on the Paper: Existence     241(4)
    of Mild Solutions of Some Neutral
    Fractional Functional Evolution Equations
    with Infinite Delay, appl. Math.
    Computation, 216 (2010), 61-69
          Gaston M. N'Guerekata
    Chapter 17 Discriminating Sentinel for         245(20)
    Parabolic Evolution System Gouverned by the
    Cauchy-Fourier Problem at Incomplete Data
          Sadou Tao
          Ousseynou Nakoulima
    Chapter 18 Asymptotic Behavior of a            265(10)
    Mathematical Model of the
    Ryanodine-Sensitive Ca Channel Dynamics in
    Cardiomyocytes and Applications
          Tuan A. Nguyen
          Le Manh Thuc
    Chapter 19 An Asymptotic Model of a            275(18)
    Nonlinear Adaptive Orthotropic Elastic Plate
          Robert J. Ronkese
    Chapter 20 Robustness of Exponential           293(18)
    Dichotomy of Evolution Equations Under
    Admissible Perturbations on a Half-line
          Nguyen Thieu Huy
          Trinh Viet Duoc
    Chapter 21 On the Relationship Between         311(10)
    Discrete and Continuous Observations of
    Dynamical-Systems
          Bui Xuan Dieu
          Do Due Thuan
          Ha Binh Minh
          Nguyen Van Minh
    Chapter 22 Comparative Study of the            321(24)
    Suppression on T-Cell and Dendritic Cells
    in a Mathematical Model of Psoriasis
          Priti Kumar Roy
          Jhumpa Bhadra
    Chapter 23 Weak Solutions for Anisotropic      345(24)
    Nonlinear Elliptic Problem with Variable
    Exponent and Measure Data
          Blaise Kone
          Stanislas Ouaro
          Safimba Soma
    Chapter 24 Pseudo Almost Periodic Solution     369(14)
    of Stochastic Functional Differential
    Equations
          Syed Abbas
    Chapter 25 A Class of Nonlinear Fractional     383(10)
    Integro-Differential Equations With
    Nonlocal Condition
          Fei Xiao
    Chapter 26 Exponential Trichotomy and          393(20)
    Qualitative Properties for Ordinary
    Differential Equations
          E. Ait Dads
          L. Lhachimi
    Chapter 27 Some Kinds of Controls for          413(16)
    Boundedness Properties of Stochastic Set
    Solutions with Selectors
          Nguyen Dinh Phu
          Ngo Van Hoa
          Nguyen Minh Hai
    Chapter 28 Renormalized Solutions of           429(28)
    Nonlinear Degenerated Parabolic Equations
    without Sign Condition and l) Data
          Youssef Akdim
          Jaouad Bennouna
          Mounir Mekkour
Index                                              457