Viability  Invariance and Applications Book

Viability Invariance and Applications


  • Author : Ovidiu Carja
  • Publisher : Elsevier
  • Release Date : 2007-07-18
  • Genre: Mathematics
  • Pages : 356
  • ISBN 10 : 0080521665

DOWNLOAD BOOK
Viability Invariance and Applications Excerpt :

The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumo’s Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. New concepts for multi-functions as the classical tangent vectors for functions Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions Clarifying examples, illustrations and numerous problems, completely and carefully solved Illustrates the applications from theory into practice Very clear and elegant style

Differential Equations Book

Differential Equations


  • Author : Ioan I Vrabie
  • Publisher : World Scientific Publishing Company
  • Release Date : 2011-05-26
  • Genre: Mathematics
  • Pages : 480
  • ISBN 10 : 9789813108080

DOWNLOAD BOOK
Differential Equations Excerpt :

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems. In this new edition we have corrected several small errors and added the following new topics: Volterra Integral Equations and Elements of Calculus of Variations. Some problems and exercises, referring to these two new topics are also included. The bibliography has been updated and expanded.

System Modeling and Optimization Book

System Modeling and Optimization


  • Author : Christian Pötzsche
  • Publisher : Springer
  • Release Date : 2014-11-27
  • Genre: Computers
  • Pages : 361
  • ISBN 10 : 9783662455043

DOWNLOAD BOOK
System Modeling and Optimization Excerpt :

This book is a collection of thoroughly refereed papers presented at the 26th IFIP TC 7 Conference on System Modeling and Optimization, held in Klagenfurt, Austria, in September 2013. The 34 revised papers were carefully selected from numerous submissions. They cover the latest progress in a wide range of topics such as optimal control of ordinary and partial differential equations, modeling and simulation, inverse problems, nonlinear, discrete, and stochastic optimization as well as industrial applications.

Differential Equations Book

Differential Equations


  • Author : Ioan I Vrabie
  • Publisher : World Scientific Publishing Company
  • Release Date : 2016-05-30
  • Genre: Mathematics
  • Pages : 528
  • ISBN 10 : 9789814749800

DOWNLOAD BOOK
Differential Equations Excerpt :

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, and gradient systems. In this new edition, some typos have been corrected and two new topics have been added: Delay differential equations and differential equations subjected to nonlocal initial conditions. The bibliography has also been updated and expanded.

Topological Structure of the Solution Set for Evolution Inclusions Book

Topological Structure of the Solution Set for Evolution Inclusions


  • Author : Yong Zhou
  • Publisher : Springer
  • Release Date : 2017-10-31
  • Genre: Mathematics
  • Pages : 269
  • ISBN 10 : 9789811066566

DOWNLOAD BOOK
Topological Structure of the Solution Set for Evolution Inclusions Excerpt :

This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature. In addition, the book addresses many of the basic techniques and results recently developed in connection with this theory, including the structure of solution sets for evolution inclusions with m-dissipative operators; quasi-autonomous and non-autonomous evolution inclusions and control systems; evolution inclusions with the Hille-Yosida operator; functional evolution inclusions; impulsive evolution inclusions; and stochastic evolution inclusions. Several applications of evolution inclusions and control systems are also discussed in detail. Based on extensive research work conducted by the authors and other experts over the past four years, the information presented is cutting-edge and comprehensive. As such, the book fills an important gap in the body of literature on the structure of evolution inclusions and its applications.

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions Book

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions


  • Author : Monica-Dana Burlică
  • Publisher : CRC Press
  • Release Date : 2018-09-03
  • Genre: Mathematics
  • Pages : 362
  • ISBN 10 : 9781315351681

DOWNLOAD BOOK
Delay Differential Evolutions Subjected to Nonlocal Initial Conditions Excerpt :

Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions. After preliminaries on nonlinear evolution equations governed by dissipative operators, the book gives a thorough study of the existence, uniqueness, and asymptotic behavior of global bounded solutions for differential equations with delay and local initial conditions. It then focuses on two important nonlocal cases: autonomous and quasi-autonomous. The authors next discuss sufficient conditions for the existence of almost periodic solutions, describe evolution systems with delay and nonlocal initial conditions, examine delay evolution inclusions, and extend some results to the multivalued case of reaction-diffusion systems. The book concludes with results on viability for nonlocal evolution inclusions.

Essays in Mathematics and its Applications Book

Essays in Mathematics and its Applications


  • Author : Themistocles M. Rassias
  • Publisher : Springer
  • Release Date : 2016-06-14
  • Genre: Mathematics
  • Pages : 663
  • ISBN 10 : 9783319313382

DOWNLOAD BOOK
Essays in Mathematics and its Applications Excerpt :

This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.

Applied Analysis And Differential Equations Book

Applied Analysis And Differential Equations


  • Author : Ovidiu Carja
  • Publisher : World Scientific
  • Release Date : 2007-03-27
  • Genre: Mathematics
  • Pages : 364
  • ISBN 10 : 9789814475723

DOWNLOAD BOOK
Applied Analysis And Differential Equations Excerpt :

This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics, including the most exciting recent developments.A broad range of topics of recent interest are treated: existence, uniqueness, viability, asymptotic stability, viscosity solutions, controllability and numerical analysis for ODE, PDE and stochastic equations. The scope of the book is wide, ranging from pure mathematics to various applied fields such as classical mechanics, biomedicine, and population dynamics.

New Trends in Differential Equations  Control Theory and Optimization Book

New Trends in Differential Equations Control Theory and Optimization


  • Author : Viorel Barbu
  • Publisher : World Scientific
  • Release Date : 2016-06-17
  • Genre: Mathematics
  • Pages : 348
  • ISBN 10 : 9789813142879

DOWNLOAD BOOK
New Trends in Differential Equations Control Theory and Optimization Excerpt :

The volume contains a collection of original papers and surveys in various areas of Differential Equations, Control Theory and Optimization written by well-known specialists and is thus useful for PhD students and researchers in applied mathematics. Contents:Dirichlet Problems with Mean Curvature Operator in Minkowski Space (Cristian Bereanu, Petru Jebelean and Călin Şerban)Free Boundary Fluid-Elasticity Interactions: Adjoint Sensitivity Analysis (Lorena Bociu and Kristina Martin)Non-Smooth Regularization of a Forward-Backward Parabolic Equation (Elena Bonetti, Pierluigi Colli and Giuseppe Tomassetti)Approaching Monotone Inclusion Problems via Second Order Dynamical Systems with Linear and Anisotropic Damping (Radu Ioan Boţ and Ernö Robert Csetnek)On the Solutions of a Quadratic Integral Inclusion (Aurelian Cernea)On the Bounded and Stabilizing Solution of a Generalized Riccati Differential Equation with Periodic Coefficients Arising in Connection with a Zero Sum Linear Quadratic Stochastic Differential Game (Vasile Dragan and Toader Morozan)A Maximum Principle for a Class of First Order Differential Operators (Maria Fărcăşeanu, Mihai Mihăilescu and Denisa Stancu-Dumitru)Differentiability and Integrability Properties for Solutions to Nonlocal Equations (Mikil Foss and Petronela Radu)Ferroelectric Thin Structures (Antonio Gaudiello and Kamel Hamdache)Sliding Modes for a Phase-Field System (Gianni Gilardi)Uniformly Hyperbolic Viable Sets in Affine IFS (Vasile Glavan and Valeriu Guţu)Some Support Considerations in the Asymptotic Optimality of Two-Scale Controlled PDMP (Dan Goreac and Oana Silvia Serea)Inverse Problems for Control Theory (Mohammed Al Horani and Angelo Favini)On the Ill-Posedness of Active Scalar Equations with Odd Singular Kernels (Igor Kukavica, Vlad Vicol and Fei Wang)Equilibrium in an Individual — Societal SIR Vaccination Model in Presence of Discounting and Finite Vaccination Capacity (Laetitia Laguzet, Gabriel Turinici and Ghozlane Yahia

Functional Differential Equations Book

Functional Differential Equations


  • Author : Constantin Corduneanu
  • Publisher : John Wiley & Sons
  • Release Date : 2016-03-30
  • Genre: Mathematics
  • Pages : 368
  • ISBN 10 : 9781119189497

DOWNLOAD BOOK
Functional Differential Equations Excerpt :

Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and

Mathematical Analysis and Applications Book

Mathematical Analysis and Applications


  • Author : Vicentiu D. Radulescu
  • Publisher : American Institute of Physics
  • Release Date : 2006-05-25
  • Genre: Mathematics
  • Pages : 186
  • ISBN 10 : UOM:39015064105078

DOWNLOAD BOOK
Mathematical Analysis and Applications Excerpt :

This book comprises the proceedings of the International Conference on Mathematical Analysis and Applications, held in Craiova, Romania, 23-24 September 2005. The peer-reviewed papers presented here cover a range of topics at the interface between mathematical physics, numerical analysis, optimal control, and calculus of variations. The coverage includes nonlinear analysis and partial differential equations as well as classical mathematical analysis and dynamical systems.

Seminar on Stochastic Analysis  Random Fields and Applications V Book

Seminar on Stochastic Analysis Random Fields and Applications V


  • Author : Robert Dalang
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-03-12
  • Genre: Mathematics
  • Pages : 519
  • ISBN 10 : 9783764384586

DOWNLOAD BOOK
Seminar on Stochastic Analysis Random Fields and Applications V Excerpt :

This volume contains refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, from May 29 to June 3, 2004. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering.

Nonlinear Analysis and Variational Problems Book

Nonlinear Analysis and Variational Problems


  • Author : Panos M. Pardalos
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-10-20
  • Genre: Business & Economics
  • Pages : 490
  • ISBN 10 : 9781441901583

DOWNLOAD BOOK
Nonlinear Analysis and Variational Problems Excerpt :

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Stochastic Analysis  Control  Optimization and Applications Book

Stochastic Analysis Control Optimization and Applications


  • Author : William M. McEneaney
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Technology & Engineering
  • Pages : 637
  • ISBN 10 : 9781461217848

DOWNLOAD BOOK
Stochastic Analysis Control Optimization and Applications Excerpt :

In view of Professor Wendell Fleming's many fundamental contributions, his profound influence on the mathematical and systems theory communi ties, his service to the profession, and his dedication to mathematics, we have invited a number of leading experts in the fields of control, optimiza tion, and stochastic systems to contribute to this volume in his honor on the occasion of his 70th birthday. These papers focus on various aspects of stochastic analysis, control theory and optimization, and applications. They include authoritative expositions and surveys as well as research papers on recent and important issues. The papers are grouped according to the following four major themes: (1) large deviations, risk sensitive and Hoc control, (2) partial differential equations and viscosity solutions, (3) stochastic control, filtering and parameter esti mation, and (4) mathematical finance and other applications. We express our deep gratitude to all of the authors for their invaluable contributions, and to the referees for their careful and timely reviews. We thank Harold Kushner for having graciously agreed to undertake the task of writing the foreword. Particular thanks go to H. Thomas Banks for his help, advice and suggestions during the entire preparation process, as well as for the generous support of the Center for Research in Scientific Computation. The assistance from the Birkhauser professional staff is also greatly appreciated.

Nonlinear Differential Equations of Monotone Types in Banach Spaces Book

Nonlinear Differential Equations of Monotone Types in Banach Spaces


  • Author : Viorel Barbu
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-01-01
  • Genre: Mathematics
  • Pages : 272
  • ISBN 10 : 9781441955425

DOWNLOAD BOOK
Nonlinear Differential Equations of Monotone Types in Banach Spaces Excerpt :

This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.