Studies in Evolution Equations and Related Topics

This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite dimensional Banach spaces; optimal control of averaged state of a population dynamic model; structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin-type boundary condition; exponential dichotomy and partial neutral functional differential equations, stable and center-stable manifolds of admissible class; global attractor in Alpha-norm for some partial functional differential equations of neutral and retarded type; and more. Researchers in mathematical sciences, biosciences, computational sciences and related fields, will benefit from the rich and useful resources provided. Upper undergraduate and graduate students may be inspired to contribute to this active and stimulating field.

Auteur
Gaston M. N'Guérékata is a University Distinguished Professor and Associate Dean of the School of Computer, Mathematical, and Natural Sciences at Morgan State University in Baltimore, Maryland, USA. He authored over 240 publications including 10 books at the graduate/research level. His research interests include almost periodic and almost automorphic functions, abstract harmonic analysis, fractional differential equations and spectral theory of bounded functions. Dr. N'Guérékata has been a keynote speaker at several international conferences and is the recipient of several research awards in the USA and abroad.
Bourama Toni is a Full Professor of Mathematics and Chair of the Department of Mathematics at Howard University, Washington, DC, USA. He is a Founder and Editor of the Springer-published STEAM-H series, with truly an interdisciplinary profile. Dr. Toni's research interests are primarily in Differential and Nonlinear Analysis and related topics to include Dynamical Systems, Non-Archimedean Analysis, Game Theory, Feedback Loops Analysis, and their applications to biosciences, behavioral sciences and naval engineering, with an excellent track-record of quality published research papers including contributed volumes with Springer.

Contenu
Introduction Chapter: Evolution Equations: present and future.- Invariant Stable Manifolds of epsilon-class for Partial Neutral Functional Differential Equations on a half-line (Thieu Huy).- Global Attractor in Alpha-norm for some Partial Functional Differential Equations of neutral and retarded type (Ezzinbi).- A study of an epidemic SIR model via Homotopy Analysis Method in the sense of Caputo-fractional system(Norouzi).- Structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin type boundary condition (Ouaro).- Optimal Control of averaged state of a population dynamic model (Kenne].- C0-semigroup and Stepanov-like almost automorphic functions in matched spaces of time scales (Wang).- A reaction diffusion model for salmonella transmission within an industrial hens house with distributed resistance to salmonella carrier-state (Zongo).- Impulsive Implicit Caputo Fractional q-Difference Equations in Finite and Infinite Dimensional Banach Spaces (Benchohrs).- Null Controllability of a cascade model in population dynamics (Maniar).