Leading-edge Research on Evolution Equations

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Nova Publishers, 2008 - Mathematics - 241 pages
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This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.
 

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Contents

Double Scale Convergence and Homogenization of Quasilinear Parabolic Equations
1
Second Grade Fluids with Enhanced Viscosity as Dynamical Systems
11
Periodic Solutions of Some Evolution Equations with Infinite Delay
19
Internal Pollution and Discriminating Sentinel in Population Dynamics Problem
29
Center Manifold and Stability in Critical Cases for Some Partial Functional Differential Equations
49
Stability Radii of Positive Linear Functional Differential Systems in Banach Spaces
77
Effects of Nonlocality and Phase Shift Definitions in Generalizing Levinsons Theorem
101
Asymptotic Behavior of the FitzHughNagumo System
131
A Partial Differential Equation with Nonautonomous Past Delay in LąPhase Space
167
Solving the Hyperbolic Problem Obtained by Transmutation Operator
185
Elliptic Operators with Variable Coefficients Generating Fractional Resolvent Families
197
Existence Results for Pseudo Almost Periodic Differential Functional and Neutral Integral Equations
207
Index
237
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