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Partial Differential Equations and Applications

Colloquium in Honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Toka Diagana

    1. Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, USA

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  2. Khalil Ezzinbi

    1. Faculty of Sciences Semlalia, Department of Mathematics, Cadi Ayyad University, Marrakesh, Morocco

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  3. Stanislas Ouaro

    1. Ministry of National Education, Literacy and Promotion of National Languages, Ouagadougou, Burkina Faso

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  • 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

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 420)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Existence and Uniqueness of Solution for Semi-linear Conservation Laws with Velocity Field in L∞

    • Souleye Kane, Serigne Fallou Samb, Diaraf Seck
    Pages 1-36

  3. Structural Stability of p(x)-Laplace Problems with Robin-Type Boundary Condition

    • Kpè Kansie, Stanislas Ouaro
    Pages 37-83

  4. Weak Solutions of Anti-periodic Discrete Nonlinear Problems

    • Rodrigue Sanou, Idrissa Ibrango, Blaise Koné, Aboudramane Guiro
    Pages 85-95

  5. Boundary Feedback Controller over a Bluff Body for Prescribed Drag and Lift Coefficients

    • Evrad M. D. Ngom, Abdou Sène, Daniel Y. Le Roux
    Pages 97-113

  6. Discrete Potential Boundary-Value Problems of Kirchhoff Type

    • Abdoul Aziz Kalifa Dianda, Stanislas Ouaro
    Pages 115-137

  7. From Calculus of Variation to Exterior Differential Calculus: A Presentation and Some New Results

    • Ngalla Djitte, Mariama Ndiaye
    Pages 139-160

  8. Existence of Local and Maximal Mild Solutions for Some Non-autonomous Functional Differential Equation with Finite Delay

    • Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas Ouaro
    Pages 161-183

  9. Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces

    • Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas Ouaro
    Pages 185-229

  10. Pseudo-almost Periodic Solutions of Class r in the α-Norm Under the Light of Measure Theory

    • Issa Zabsonre, Abdel Hamid Gamal Nsangou, Moussa El-KhalilL Kpoumiè, Salifou Mboutngam
    Pages 231-258

  11. Global Stability for a Delay SIR Epidemic Model with General Incidence Function, Observers Design

    • Aboudramane Guiro, Dramane Ouedraogo, Harouna Ouedraogo
    Pages 259-280

  12. Threshold Parameters of Stochastic SIR and SIRS Epidemic Models with Delay and Nonlinear Incidence

    • Ali Traoré
    Pages 281-293

  13. Weak Solutions for Nonlinear Boltzmann–Poisson System Modelling Electron–Electron Interactions

    • Mohamed Lazhar Tayeb
    Pages 295-347
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Keywords

About this book

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.


Editors and Affiliations

  • Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, USA

    Toka Diagana

  • Faculty of Sciences Semlalia, Department of Mathematics, Cadi Ayyad University, Marrakesh, Morocco

    Khalil Ezzinbi

  • Ministry of National Education, Literacy and Promotion of National Languages, Ouagadougou, Burkina Faso

    Stanislas Ouaro

About the editors

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.



Bibliographic Information

  • Book Title: Partial Differential Equations and Applications

  • Book Subtitle: Colloquium in Honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018

  • Editors: Toka Diagana, Khalil Ezzinbi, Stanislas Ouaro

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-031-27661-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-27660-6Published: 12 May 2023

  • Softcover ISBN: 978-3-031-27663-7Due: 12 June 2023

  • eBook ISBN: 978-3-031-27661-3Published: 11 May 2023

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: X, 347

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Analysis, Difference and Functional Equations, Optimization, Optimization

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