Nonlinear Analysis, Geometry, and Differential Equations
Description
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.
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Content
An additive functional inequality in Poisson C algebras.- Absolute Stability of Nonlinear Nonautonomous Equations with the Generalized Lipschitz Property.- Mathematical modeling of temporal turbulence and the phenomenon of Intermittency.- Geometry and Analysis for Nonlinear Optimal Experimental Statistical Design Problems.- The order Generalized Normal and Differential Equations.- An elementary proof of the Borsuk Ulam Theorem.- Applications on a Certain Inclusive Family of Generating Functions Involving Bernoulli Fibonacci and Lucas Numbers and Polynomials.- New Approximation Schemes for General Harmonic like Quasi Variational Inequalities.- General mixed quasi variational inequalities.- Unary Operations and Binary Relations for Families of Sets and for Binary Relations.- A Reverse Half Discrete Hilbert Type Inequality with One Partial Sums Involving One Multiple Upper Limit Function.- Formulas and Relations for Special Numbers and Polynomials with their Generating Functions Involving Characteristic and Moment Generating Functions.- Hilfer type fractional order iterative learning control for non instantaneous impulsive dynamics.- HR Stable Function Inequalities in Relational Metric Spaces.- A Hilbert Type Integral Inequality and the Equivalent Forms Related to the Extended Hurwitz Zeta Function Global branches of solutions for non uniformly fully nonlinear equations.- Global branches of solutions for non uniformly fully nonlinear equations.- Bifurcation of radial solutions for prescribed mean curvature equations.