Overview
- Self-contained presentation of results
- Particularly useful for graduate students and researchers conducting interdisciplinary research
- The detailed results presented will appeal to a wide readership
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 173)
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About this book
This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erdős-Rényi network model, strongly m-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.
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Keywords
- nonlinear analysis
- differential equations
- optimization
- approximation theory
- economics
- engineering
- interdisciplinary research in mathematics
- global analysis
- optimization theory
- Nash equilibria
- calculus of variations
- nonlinear functional analysis
- convex analysis
- variational inequalities
- Erdős-Rényi network model
- critical point theory
- Leray-Schauder index
- stochastic differential equations
- network centrality measures
Table of contents (26 chapters)
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Front Matter
Editors and Affiliations
About the editor
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. His publications have received a large number of citations, with h-index 47.
Bibliographic Information
Book Title: Nonlinear Analysis, Differential Equations, and Applications
Editors: Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-030-72563-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-72562-4Published: 21 August 2021
Softcover ISBN: 978-3-030-72565-5Published: 22 August 2022
eBook ISBN: 978-3-030-72563-1Published: 20 August 2021
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: IX, 793
Number of Illustrations: 8 b/w illustrations, 31 illustrations in colour
Topics: Real Functions, Functions of a Complex Variable, Ordinary Differential Equations, Partial Differential Equations, Operator Theory