Sandra Pinelas

John R. Graef

Peter Kloeden

Stefan Hilger

Christos Schinas

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

ICDDEA 2019, Lisbon, Portugal, July 1–5

Differential and Difference Equations with Applications

Sasha Cyganowski

Jerzy Ombach

This is an introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. Based on measure theory, which is introduced as smoothly as possible, it provides practical skills in the use of MAPLE in the context of probability and its applications. It offers to graduates and advanced undergraduates an overview and intuitive background for more advanced studies.

From Elementary Probability to Stochastic Differential Equations with MAPLE®

Thomas Gerstner

Computational finance is an interdisciplinary field which joins financial mathematics, stochastics, numerics and scientific computing. Its task is to estimate as accurately and efficiently as possible the risks that financial instruments generate. This volume consists of a series of cutting-edge surveys of recent developments in the field written by leading international experts. These make the subject accessible to a wide readership in academia and financial businesses.The book consists of 13 chapters divided into 3 parts: foundations, algorithms and applications. Besides surveys of existing results, the book contains many new previously unpublished results.

Recent Developments In Computational Finance: Foundations, Algorithms And Applications

Phil Diamond

The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ℜn. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis. This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis. Contents:Fuzzy SetsSpaces of Subsets of ℜnCompact Convex Subsets of ℜnSet Valued MappingsCrisp GeneralizationsThe Space εnMetrics on εnCompactness CriteriaGeneralizationsFuzzy Set Valued Mappings of Real VariablesFuzzy Random VariablesComputational MethodsFuzzy Differential EquationsOptimization Under UncertaintyFuzzy Iterations and Image Processing Readership: Mathematicians and computer scientists. keywords:Metric Spaces;Multifunctions;Fuzzy Sets;Fuzzy Data Fitting;Fuzzy Dynamical Systems;Iterated Fuzzy Systems “… is a valuable addition to the literature about fuzzy analysis, leading the reader to the edge of current research.” Mathematical Reviews “… the book seems to be the only, and thus valuable, source of mathematical concepts and results on fuzzy sets and functions, which are presented in a clear, and quite rigorous, format.” Journal of Classification

Metric Spaces of Fuzzy Sets: Theory and Applications

Anna Capietto

Jean Mawhin

Sylvia Novo

Miguel Ortega

This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.

Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera

Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Peter Kloeden

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