Celebrating the Upcoming Mathematical Publications by Professor Gaston M. N'Guerekata

First Publication:

• Title: "Advanced Topics on Semilinear Evolution Equations" (Series on Concrete and Applicable Mathematics – Vol. 25)

• Authors: Mouffak Benchohra, Gaston M. N'Guerekata, Abdelkrim Salim

• Publisher: World Scientific

• Release Date: January 3, 2025This book delves into the study of several classes of semilinear evolution equations, aiming to investigate the existence of mild and periodic mild solutions and their properties such as approximate controllability, complete controllability, and attractivity, under various conditions. It examines diverse problems involving second-order semilinear evolution equations, differential and integro-differential equations with state-dependent delay, random effects, and functional differential equations with delay and random effects. The book provides a solid foundation for further exploration in this field and contributes to the advancement of mathematical knowledge.

Second Publication:

• Title: "Almost Periodicity and Almost Automorphy for Evolution Equations and Partial Functional Differential Equations"

• Authors: Abdallah Afoukal, Brahim Es-sebbar, Khalil Ezzinbi, Gaston Mandata N’Guerekata

• Publisher: De Gruyter

• Release Date: March 17, 2025Professor N'Guerekata's second book presents different methods used in literature to investigate the response of various finite and infinite dimensional differential equations to different kinds of forced oscillations, especially the almost periodic and almost automorphic type oscillations. It investigates the long-term behavior of integral solutions to differential equations in Banach spaces, presents the use of spectral decomposition and reduction principles, and provides concrete examples in population dynamics, epidemiology, and physics. This work is expected to contribute significantly to the mathematical literature.