Nonlinear Analysis, Geometry, and Differential Equations

This book offers a comprehensive collection of contemporary research contributions that illuminate the dynamic landscape of modern mathematical analysis and its myriad applications. With a focus on current developments and innovative methodologies, this volume presents significant advances in both theoretical and applied frameworks. Readers will encounter a diverse array of topics, including functional inequalities in Poisson $C^∗$-algebras, stability theory for nonlinear nonautonomous differential equations, and the mathematical modeling of temporal turbulence. The volume also delves into geometric and analytical aspects of optimal experimental design, $\gamma$-order generalized normal and differential equations, and provides an elementary proof of the Borsuk-Ulam theorem. Further chapters explore generating functions and their connections to classical sequences like Bernoulli, Fibonacci, and Lucas numbers, alongside studies on harmonic-like quasi variational inequalities. This book is an essential resource for researchers and scholars in the fields of nonlinear analysis, geometry, and differential equations. It offers valuable insights into the latest research directions and methodologies, making it a must-read for anyone seeking to deepen their understanding of these complex and fascinating areas of mathematics.