Research on Evolution Equation Compendium: Volume 1

Preface; Double Scale Convergence & Homogenization of Quasilinear Parabolic Equations; Second Grade Fluids with Enhanced Viscosity as Dynamical Systems; Periodic Solutions of Some Evolution Equations with Infinite Delay; Internal Pollution & Discriminating Sentinel in Population Dynamics Problem; Center Manifold & Stability in Critical Cases for Some Partial Functional Differential Equations; Stability Radii of Positive Linear funcional Differential Systems in Banach spaces; Effects of Nonlocality & Phase Shift Definitions in Generalizing Levinson's Theorem; Asymptotic Behavior of the FitzHugh-Nagumo System; A Partial Differential Equation with Non Autonomous Past Delay in L1-Phase Space; Solving the Hyperbolic Problem Obtained by Transmutation Operator; Elliptic Operators with Variable Coefficients Generating Fractional Resolvent Families; Existence Results for Pseudo Almost Periodic Differential, Functional & Neutral Integral Equations; An Asymptotic Model of a Nonlinear Kelvin-Voigt Viscoelastic Plate; Mathematical Analysis of a Bilateral Obstacle Problem for a Class of Second-Order Operators; Application of the Picard Operators to Second Order ODE's; Doubly Nonlinear Degenerate Parabolic Equations on Carnot Groups; Some Scalar Conservation Laws with Discontinuous Flux; A New Exact Solution to the Delayed Diffusion Equation; Level Sets for Reaction Diffusion Equations; On the Almost Periodicity of the Superposition of Functions; Time Periodic Solutions for Quasigeostrophic Motion & Their Stability; Jacobian Feedback Loops Analysis II: Stability & Instability; Existence of Oscillating Solution for Nonlinear State-Dependent Delay Differential Equation; Semilinear Abstract Differential Equations with Deviated Argument; Singular Solutions of a Semi-Linear Elliptic Equation on Nonsmooth Domains Existence of Weighted Pseudo Almost Periodic Solutions to Some Non-Autonomous Differential Equations; A Krasnoselskii-Type Fixed Point Theorem For Multifunctions Defined on a Hyperconvex Space; Index.