Handbook of Evolution Equations de Gaston M. N'Guerekata

Handbook of Evolution Equations

Gaston M. N'Guerekata

This book presents current mathematical research in the study of evolution equations. Topics discussed include the complexity of evolutionary dynamics; variational hyperbolic inequality in spatial variables; the superposition of functions; evolutionary dynamics equations and the information law of evolution and time periodic solutions for quasigeostrophic motion and their stability.

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Cuprins

Preface; 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 Weighted Pseudo Almost Periodic Solutions to Some Non-Autonomous Differential Equations; A Krasnoselskii-Type Fixed Point Theorem For Multifunctions Defined on a Hyperconvex Space; Information Complexity of Evolutionary Dynamics; On Modified Lagrange Multiplier Rule & its Application to the Regularity of Magnetic Flux Function in Nuclear Fusion; Variational Hyperbolic Inequality in the Domains Unbounded in Spatial Variables; Global Existence & Blowup to A Reaction-Diffusion System: Global Existence & Blowup to A Reaction-diffusion System With Gradient Term; Solution of the Compound Burgers-Korteweg-de Vries Equation: The Representation of Exact Solution of the Compound Burgers-Korteweg-de Vries Equation; Positive Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales; Levinson Theorem for 2 x 2 System & Applications to the Asymptotic Stability & Schrodinger Equation; Large Exact Solutions & Conservation Laws for Ibragimov- Shabat Equation Which Describe Pseudo-Spherical Surface; Exact Solutions & Conservation Laws for Ibragimov-Shabat Equation Which Describe Pseudo-Spherical Surface; The Evolutionary Dynamics Equations & the Information Law of Evolution; Building the PDE Macromodel of the Evolutional Cooperative Dynamics by Solving the Variation Problem for an Informal Path Functional; Some Remarks On Minimal Projections; Maximal Lp-Regularity for Second Order Non-Autonomous Evolution Equations in UMD Banach Spaces & Application.