Partial Differential Equations and Applications

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 59, 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.

Covers topics in boundary value problems, global analysis, stability in the context of PDEs, and more Includes studies in SIR and SIRS epidemic models of special interest to researchers in epidemiology Honors Dr. Hamidou Touré for his efforts towards the development of mathematical sciences in Africa

Auteur

Toka Diagana is a Professor at the University of Alabama in Hunstsville, USA. He received his PhD from the University Claude Bernard - Lyon 1, France (1999). His research is focused on evolution equations, operator theory, functional analysis, difference equations, stochastic differential equations, integrodifferential equations, and p-adic spectral theory.
Khalil Ezzinbi is a Full Professor at the Cadi Ayyad University, Morocco. He got his PhD from Cadi Ayyad University (1997). His research interests lie on evolution equations, operator theory, partial functional differential equations, dynamical systems and integrodifferential equations. Dr. Ezzinbi has held visiting professor positions at many universities in Africa, Asia, Europe, and North America.
Stanislas Ouaro holds a PhD in Mathematics (2001) from the University of Ouagadougou, Burkina Faso. From January 2018 to January 2022 , Dr. Ouaro served as Minister of State of National Education, Literacy and Promotion of National Languages of Burkina Faso. From September 2012 to mars 2018, he served as President of the University of Ouaga II. He is also a Full Professor at the University Joseph KI-ZERBO.

Contenu
Existence and uniqueness of solution for semi linear conservation laws with velocity field in L.- Structural stability of p(x)-Laplace problems with Robin type boundary condition.- Weak solutions of anti-periodic discrete nonlinear problems.- Boundary feedback controller over a bluff body for prescribed drag and lift coefficients.- Discrete potential boundary value problems of Kirchhoff type.- From Calculus of Variation to Exterior Differential Calculus: A Presentation and Some New Results.- Existence of local and maximal mild solutions for some non-autonomous functional differential equation with finite delay.- Existence, regularity and stability in the -norm for some neutral partial functional differential equations in fading memory spaces.- Pseudo almost periodic solutions of class in the -norm under the light of measure theory.- Global stability for a delay SIR epidemic model with general incidence function, observers design.- Threshold parameters of stochastic SIR and SIRS epidemic models with delay and nonlinear incidence.- Weak solutions for nonlinear Boltzmann-Poisson system modeling electron electron interactions.