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Full Description
This book explores the latest advancements in applied mathematical analysis, presenting cutting-edge research across a diverse array of topics, from arithmetic functions linked to non-trivial zeta zeros to innovative methods for solving ordinary differential equations using neural networks.
Readers will encounter an array of subjects, including the intricacies of functional equations in fuzzy Banach spaces, vector inequalities in Hilbert spaces, and the complexities of fluid-structure interaction methods for the Navier-Stokes equations. The volume also delves into the characterization of coercivity in preordered pseudometric spaces and the localization of fractional spectra for operators in Hilbert spaces. Each chapter, contributed by leading experts, provides a deep dive into these complex topics, offering both theoretical insights and practical applications.
This book is an invaluable resource for researchers, scholars, and practitioners in the field of mathematical analysis and its applications. Whether you're a mathematician, physicist, or engineer, Trends in Applied Mathematical Analysis will enhance your understanding and inspire new approaches to solving interdisciplinary problems.
Contents
Chapter 1. Elementary Arithmetic Functions And Their Connection To The Non-Trivial Zeta Zeros.- Chapter 2. Residues, Borders And Boundaries In Relator Spaces.- Chapter 3. An Additive (Ρ1,Ρ2)-Functional Equation In Fuzzy Banach Spaces.- Chapter 4. Vector Inequalities For Analytic Functions Of Operators In Hilbert Spaces And Applications For Numerical Radius And P-Schatten Norm.- Chapter 5. Inner Product Inequalities For The µcebyŠEv Functional In Hilbert Spaces.- Chapter 6. Some Inner Product Ostrowski’S Type Inequalities In Hilbert Spaces.- Chapter 7. Fluid-Structure Interaction (Fsi) Methods For The Navier-Stokes Equations.- Chapter 8. Second Deformation Theorem For Locally Lipschitz Maps And Application To Morse Theory.- Chapter 9. On The Characterization Of Coercivity For Submonotone Maps In Preordered Pseudometric Spaces.- Chapter 10. On The Study Of The Cycle Chains Associated With Non-Reversible Markov Chains Describing A Random Walk With Jumps In Random Environments.- Chapter 11. Inequalities For Real And Imaginary Parts Of Eigenvalues Of Compact Operators And Perturbation Results.- Chapter 12. Localization Of The Fractional Spectrum For Operators In A Hilbert Space.- Chapter 13. On A Generalized Wallis Product With Complex Parameter.- Chapter 14. Modeling Drug Release Profiles.- Chapter 15. Solving Ordinary Differential Equations With The Use Of Feedforward Neural Networks.- Chapter 16. Numerical Solutions For Turbulent Channel Flow.- Chapter 17. Weighted Norm Inequalities For Fractional Hilbert Type Operators And Fractional Riesz Potential Operators.- Chapter 18. Some New Inequalities For Fractional Generalized Laplace Transforms.- Chapter 19. Some Approximation Schemes For Solving Exponentially Variational Inequalities.- Chapter 20. New Iterative Methods For General Mixed Variational Inequalities And Sensitivity Analysis.- Chapter 21. Some New Developments In General Nonconvex Variational Inequalities.- Chapter 22. Dynamical Systems: Development And Applications. Insights On A Superconducting Quantum Interference Device.- Chapter 23. A Reverse Half-Discrete Hilbert-Type Inequality With One Partial Sum Involving One Multiple Upper Limit Function.- Chapter 24. On A Kind Of Reverse Half-Discrete Hardy-Hilbert's Inequalities With One Partial Sum Involving One Derivative Function Of Higher-Order.- Chapter 25. Formulas And Relations For Twisted Bernoulli Numbers And Polynomials And Their Applications.- Chapter 26. On A Kirchhoff Type Equation In Unbounded Domains.- Chapter 27. Proinov Anticipative Contractions On Relational Mc-Quasimetric Spaces.- Chapter 28. Szaz Ordering Principle And Dependent Choice.- Chapter 29. Jungck Implicit Contractions In Ordered Metric Spaces.
