Trends in Applied Mathematical Analysis

Erscheinungsjahr 2026
ISBN: 978-3-032-21692-2
Verlag: Springer Nature Switzerland AG

Buch, Englisch, 804 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Springer Optimization and Its Applications

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, will enhance your understanding and inspire new approaches to solving interdisciplinary problems.

Zielgruppe

Graduate

Autoren/Hrsg.

Pardalos, Panos M.

Rassias, Themistocles M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung

Inhaltsverzeichnis

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 (?1,?2)-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 µcebyEv Functional In Hilbert Spaces.- Chapter 6. Some Inner Product OstrowskiS 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.

Über Autor(innen)

Panos M. Pardalos was born in Greece  and graduated from Athens University (Department of Mathematics).  He received  his  PhD  (Computes and Information Sciences) from the University of Minnesota.  He  is a Distinguished Emeritus Professor  in the Department of Industrial and Systems Engineering at the University of Florida, and an affiliated faculty of Biomedical Engineering and Computer Science & Information & Engineering departments. Panos  Pardalos is a world-renowned leader in Global Optimization, Mathematical Modeling, Energy Systems, Financial applications, and Data Sciences. He is a Fellow of AAAS, AAIA, AIMBE, EUROPT, and INFORMS and was awarded the 2013 Constantin Caratheodory Prize of the International Society of Global Optimization. In addition, Panos  Pardalos has been awarded the 2013 EURO Gold Medal prize bestowed by the Association for European Operational Research Societies. This medal is the preeminent European award given to Operations Research (OR) professionals for “scientific contributions that stand the test of time.”  Panos Pardalos has been awarded a prestigious Humboldt Research Award (2018-2019). The Humboldt Research Award is granted in recognition of a researcher’s entire achievements to date – fundamental discoveries, new theories, insights that have had significant impact on their discipline. Panos Pardalos is also a Member of several  Academies of Sciences, and he holds several honorary PhD degrees and affiliations. He is the Founding Editor of Optimization Letters, Energy Systems, and Co-Founder of the International Journal of Global Optimization, Computational Management Science, and Springer Nature Operations Research Forum. He has published over 600 journal papers, and edited/authored over 200 books. He is one of the most cited authors and has graduated 71 PhD students so far.

Themistocles M. Rassias was born in Greece and received his PhD in 1976 from the University of California, Berkeley under the supervision of Fields Medalist Stephen Smale. At Berkeley Shiing-Shen Chern was his academic advisor. Rassias received his PhD as the first degree after highschool, skipping undergraduate studies. Th. M. Rassias is an Emeritus Professor at the National Technical University of Athens, Greece. He has published more than 300 papers, 10 research books and 45 edited volumes in research Mathematics as well as four textbooks in Mathematics (in Greek) for university students. He serves as a member of the Editorial Board of several international mathematical journals. His work extends over several fields of mathematical analysis. It includes nonlinear functional analysis, functional equations, approximation theory, analysis on manifolds, calculus of variations, inequalities, metric geometry and their applications. He has contributed a number of results in the stability of minimal submanifolds, in the solution of Ulam's Problem for approximate homomorphisms in Banach spaces, in the theory of isometric mappings in metric spaces and in complex analysis (Poincaré's inequality and harmonic mappings). He has been awarded the title of Doctor Honoris Causa by several universities. He is a renowned figure in Mathematical Analysis with several terms attributed to him, including the Hyers-Ulam-Rassias stability of functional equations, Alexandrov-Rassias problems, etc.