This book offers a comprehensive exploration of contemporary mathematical research and its practical applications. It brings together cutting-edge contributions from leading experts in fields such as mathematical analysis, optimization, control theory, and inverse problems, providing both theoretical insights and real-world applications.

Readers will encounter a diverse array of topics, including synthesis control of heating processes, optimization techniques for parabolic equations, and innovative approaches to classical mathematical results. The volume also delves into advanced concepts like ** -quadratic k -tuples, trace class determinant inequalities, and quantum-deformed zeta functions. With chapters dedicated to the control of nonlinear dynamical systems, kernel-adaptive learning, and fuzzy cognitive networks, this book is a treasure trove of knowledge for those interested in the intersection of mathematics and applied sciences.

Ideal for researchers, scholars, and practitioners in mathematics and engineering, this volume serves as an invaluable resource for anyone seeking to deepen their understanding of modern mathematical challenges and solutions. Whether you're a seasoned mathematician or a curious learner, this book invites you to explore the dynamic landscape of mathematical innovation.

Presentation of most up-to-date results in very active domains Useful as a reference source Attract the interest of researchers hailing for a variety of domains of both pure and applied sciences

Autorentext

Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization.

Kamil Aidazade is the head of the laboratory "Decision-Making Methods and Their Applications" at the Institute of Mathematics (Baku). He defended his PhD dissertation in 1979 at the Computing Center of the Academy of Sciences of Georgia (Tbilisi), and his doctoral (Doctor of Sciences) dissertation in 1989 at the Institute of Cybernetics (Kyiv, Ukraine); he received the title of professor in Moscow (Russia) in 1991. He is the author of more than 700 scientific papers and three books. He is a member of the editorial boards of many international journals. Under his supervision, 5 doctoral dissertations and 23 PhD dissertations have been defended. His research interests include the following areas: mathematical modeling and parametric identification of complex objects, including through the use of neural networks; finite-dimensional optimization; optimal control and inverse problems for objects described by local and nonlocal boundary value problems for differential equations with ordinary and partial derivatives; and the development of numerical methods and software for solving the aforementioned problems and their practical application.

Efthimios Providas is Professor of Computational Mathematics in the Department of Environmental Sciences of the University of Thessaly, Larissa. He received his PhD from the Department of Mathematics and Statistics of Brunel University of London. His research interests are Non-local Boundary Value Problems, Integral and Integro-differential Equations, Symbolic Computation, Numerical Methods, Finite Element Methods, and their applications in Sciences and Engineering. He teaches courses in Mathematics, Numerical Methods and Statistics. He has published one book and more than 60 papers and has served as a conference chair and reviewer in many well-known journals. He has served as a principal investigator in various projects in ICT and Engineering Technology.

Panos M. Pardalos 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. He 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." He has also been awarded the prestigious Humboldt Research Award (20182019). 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.

Inhalt

Synthesis Controls Heating Problem Using the Current and Past State at Measurement Points.- Optimization of loading points for loaded parabolic equation.- New Generalized Gauss and Confluent Hypergeometric.- Logarithmic Functions and Their Applications.- Optimizing Well Locations and Flow Rates byOptimal Control Methods.- Inverse source problem for differential equations with generalized piecewise constant argument.- Alternative Proofs of Classical Theorems Using Symmetric Calculus.- On quadratic k tuples and related generalizations.- Upper and Lower Bounds for Trace Class P Determinant of Positive Operators in Hilbert Spaces.- Some Inequalities Related to Opial Result for Functions with Values in Hilbert Spaces.- Homotopical stability of coercivity and global minimum points for submonotone maps on preordered pseudometric space.- Inequalities for Imaginary Parts and AbsoluteValues of Eigenvalues of Block Operator Matrices.- A Norm Estimate for the Matrix Sign Function and Perturbation Results.- Baskakov Type Operators and Convergence.- Control of a Dynamic Nonlinear Object with Feedback at Discrete Moments of Time.- On the Hardy Littlewood proof of the arithmetic geometric means inequality.- From Classical to Quantum Deformed Zeta Functions with Applications.- New Generalized Beta Logarithmic Function and its Applications.- Some terminating Clausen series of argument two with applications .- Kernel Adaptive Learning of Functional Weights in Fuzzy Cognitive Networks for Nonlinear Time Series Prediction.- Nonlinear Wave Phenomena in Turbulent Boundary Layer and Shock Waves in Nozzle Flows.- Innovative Approaches to Fuzzy 𝒏 ary Polygroups Properties and Applications.- Weighted Cesaro mean operator inequalities on Morrey Herz space.- Fractional Weighted Cesàro Mean Operator Inequalities.- Lebesgue Functions of Lagrange Interpolation at Zeros of Chebyshev Polynomials on Compact Subsets of the Real Line.- Hyers Ulam stability of orthogonally Jensen type quadratic functional equations in Hilbert modules.- Optimal control problem with coefficient of the unstable state second order parabolic equation.- New Aspects of General Quasi Trivariational Inclusion.- New Classes of General Nonlinear Bifunction Equations.- Computational Methods for Bifunction Variational Inequalities.