Trends in Nonlinear Analysis

Trends in Nonlinear Analysis
Author: Markus Kirkilionis
Publisher: Springer Science & Business Media
Total Pages: 427
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662052814

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.

Trends in Nonlinear and Adaptive Control

Trends in Nonlinear and Adaptive Control
Author: Zhong-Ping Jiang
Publisher: Springer
Total Pages: 0
Release: 2022-09-13
Genre: Technology & Engineering
ISBN: 9783030746308

This book, published in honor of Professor Laurent Praly on the occasion of his 65th birthday, explores the responses of some leading international authorities to new challenges in nonlinear and adaptive control. The mitigation of the effects of uncertainty and nonlinearity – ubiquitous features of real-world engineering and natural systems – on closed-loop stability and robustness being of crucial importance, the contributions report the latest research into overcoming these difficulties in: autonomous systems; reset control systems; multiple-input–multiple-output nonlinear systems; input delays; partial differential equations; population games; and data-driven control. Trends in Nonlinear and Adaptive Control presents research inspired by and related to Professor Praly’s lifetime of contributions to control theory and is a valuable addition to the literature of advanced control.

Nonlinear Analysis Research Trends

Nonlinear Analysis Research Trends
Author: Inès N. Roux
Publisher:
Total Pages: 0
Release: 2009
Genre: Mathematical analysis
ISBN: 9781604563580

Non-linear analysis is a broad, interdisciplinary field characterised by a mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This book presents the latest research from around the globe.

Applications of Nonlinear Analysis

Applications of Nonlinear Analysis
Author: Themistocles M. Rassias
Publisher: Springer
Total Pages: 932
Release: 2018-06-29
Genre: Mathematics
ISBN: 3319898159

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

Recent Trends in Nonlinear Analysis

Recent Trends in Nonlinear Analysis
Author: Alfonso Vignoli
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2000
Genre: Mathematics
ISBN: 9783764362928

Alfonso Vignoli - the Researcher, Teacher, and Friend.- How to Make Use of the Solution Set to Solve Boundary Value Problems.- On the Unique Solvability of Hammerstein Integral Equations with Non-Symmetric Kernels.- The Invariance of Domain for C1Fredholm Maps of Index Zero.- Positive Eigenfunctions for Some Unbounded Differential Operators.- Some Geometrical Properties of Rearrangement Invariant Spaces.- Strong Surjections and Nearness.- On the Vanishing Viscosity Approximation of a Time Dependent Hamilton-Jacobi Equation.- Some Remarks on a Nonlinear Model of Competitive Equilibrium.- Almost Discrete Convergence.- Nonlinear Stability of Eigenvalues of Compact Self-Adjoint Operators.- A Bifurcation Theorem for Lagrangian Intersections.- La valutazione di opzioni implicite nei mutui bancari.- Continuity of Near-Duality Maps and Characterizations of Ideal Spaces of Measurable Functions.- A Spectral Theory for Semilinear Operators and its Applications.- Feedback Stability of Closed Sets for Nonlinear Control Systems.- Two Mechanical Systems and Equivariant Degree.- On the Semilinear Dirichlet Problem for a Class of Nonlocal Operators Generating Dirichlet Forms.- Bifurcation for One-Parameter Families of Scalar Maps: A Geometric Viewpoint.- Mountain Pass and Linking Type Solutions for Semilinear Dirichlet Forms.- Self-Similar Measures in Quasi-Metric Spaces.- C1-Fredholm Maps and Bifurcation for Quasilinear Elliptic Equations on$${\mathbb{R} n} $$.

Recent Developments in Nonlinear Analysis

Recent Developments in Nonlinear Analysis
Author: Habib Ammari
Publisher: World Scientific
Total Pages: 376
Release: 2010
Genre: Mathematics
ISBN: 9814295574

This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. Readers will find that this volume merges different approaches in nonlinear analysis, and covers, in a broad and balanced fashion, both the theoretical and numerical aspects of the subject. Graduate students, researchers and professionals with interest in the subject will find it useful while keeping abreast with the latest advancements in this field.

Recent Developments In Nonlinear Analysis - Proceedings Of The Conference In Mathematics And Mathematical Physics

Recent Developments In Nonlinear Analysis - Proceedings Of The Conference In Mathematics And Mathematical Physics
Author: Habib Ammari
Publisher: World Scientific
Total Pages: 376
Release: 2010-03-31
Genre: Mathematics
ISBN: 9814465607

This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco duing the period of 28-30 October, 2008.Readers will find that this volume merges different approaches in nonlinear analysis, and covers, in a broad and balanced fashion, both the theoretical and numerical aspects of the subject. Graduate students, researchers and professionals with interest in the subject will find it useful while keeping abreast with the latest advancements in this field.

Recent Trends in Nonlinear Analysis

Recent Trends in Nonlinear Analysis
Author: Jürgen Appell
Publisher: Birkhäuser
Total Pages: 261
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034884117

The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday.