Bøger af Toka Diagana

This volume convenes selected, peer-reviewed works presented at the Partial Differential Equations and Applications Colloquium in Honor of Prof. Hamidou Toure that was held at the University Ouaga 1, Ouagadougou, Burkina Faso, November 5¿9, 2018.Topics covered in this volume include boundary value problems for difference equations, differential forms in global analysis, functional differential equations, and stability in the context of PDEs. Studies on SIR and SIRS epidemic models, of special interest to researchers in epidemiology, are also included.This volume is dedicated to Dr. Hamidou Touré, a Research Professor at the University of Ouaga 1. Dr. Touré has made important scientific contributions in many fields of mathematical sciences. Dr. Touré got his PhD (1994) from the University of Franche-Comté of Besançon, France, and is one of the key leaders and mentor of several generations of mathematicians in French-speaking Africa.This conference was purposely held in Ouagadougou in reverence of Dr. Touré's efforts for the development of mathematics in Africa since the beginning of his career in early 1982 to the current days.

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones.

The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators.

This book presents a comprehensive introduction to concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity and pseudo-almost automorphy as well as their recent generalizations.

Extending the author's work on almost periodic stochastic difference and differential equations, this book covers almost periodic random processes and applications. Covers existence, uniqueness, and stability of solutions for abstract stochastic difference.

Presents mathematical research with emphasis on the contributions of African mathematicians and the rich connections between African universities and those of other continents.

Provides the reader with a presentation of investigations on operator theory over non-Archimedean Banach and Hilbert spaces. This book includes, non-Archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions of linear operators and one-parameter families of bounded linear operators on free branch spaces.

Presents world-wide mathematical research from the African diaspora. This book offers a forum for mathematical research with some emphasis on the contributions of African mathematicians and the connections between African universities and those of other continents.

Provides the reader with a self-contained treatment of the classical operator theory with significant applications to abstract differential equations, and an introduction to basic concepts and methods of the rapidly growing theory of the so-called p-adic operator theory.