Viability Invariance and Applications

Written By Ovidiu Carja
Viability  Invariance and Applications
  • Publsiher : Elsevier
  • Release : 18 July 2007
  • ISBN : 9780080521664
  • Pages : 356 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Viability Invariance and Applications written by Ovidiu Carja which was release on 18 July 2007, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book 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

Viability Invariance and Applications

Viability  Invariance and Applications
  • Author : Ovidiu Carja,Mihai Necula,Ioan I. Vrabie
  • Publisher : Elsevier
  • Release Date : 2007-07-18
  • Total pages : 356
  • ISBN : 9780080521664
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Summary : 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 ...

Viability Theory

Viability Theory
  • Author : Jean-Pierre Aubin,Alexandre M. Bayen,Patrick Saint-Pierre
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-07-13
  • Total pages : 803
  • ISBN : 9780080521664
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Summary : Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to ...

Differential Equations

Differential Equations
  • Author : Ioan I. Vrabie
  • Publisher : World Scientific
  • Release Date : 2004
  • Total pages : 401
  • ISBN : 9780080521664
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Summary : This book presents the main concepts and results of 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 ...

System Modeling and Optimization

System Modeling and Optimization
  • Author : Christian Pötzsche,Clemens Heuberger,Barbara Kaltenbacher,Franz Rendl
  • Publisher : Springer
  • Release Date : 2014-11-27
  • Total pages : 361
  • ISBN : 9780080521664
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Summary : 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 ...

Co Semigroups and Applications

Co Semigroups and Applications
  • Author : Ioan I. Vrabie
  • Publisher : Elsevier
  • Release Date : 2003-03-21
  • Total pages : 396
  • ISBN : 9780080521664
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Summary : The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, ...

Analele tiin ifice Ale Universit ii Al I Cuza Din Ia i

Analele   tiin  ifice Ale Universit    ii  Al  I  Cuza  Din Ia  i
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Total pages : 212
  • ISBN : 9780080521664
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Summary : Download or read online Analele tiin ifice Ale Universit ii Al I Cuza Din Ia i written by , published by which was released on 2008. Get Analele tiin ifice Ale Universit ii Al I Cuza Din Ia i Books now! Available in PDF, ePub and Kindle....

Differential Equations

Differential Equations
  • Author : Ioan I Vrabie
  • Publisher : World Scientific Publishing Company
  • Release Date : 2016-05-30
  • Total pages : 528
  • ISBN : 9780080521664
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Summary : 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, ...

Differential Equations

Differential Equations
  • Author : Ioan I Vrabie
  • Publisher : World Scientific Publishing Company
  • Release Date : 2011-05-26
  • Total pages : 480
  • ISBN : 9780080521664
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Summary : 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, ...

Value Functions in Control Systems and Differential Games

Value Functions in Control Systems and Differential Games
  • Author : Sławomir Plaskacz
  • Publisher : Unknown
  • Release Date : 2003
  • Total pages : 119
  • ISBN : 9780080521664
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Summary : Download or read online Value Functions in Control Systems and Differential Games written by Sławomir Plaskacz, published by which was released on 2003. Get Value Functions in Control Systems and Differential Games Books now! Available in PDF, ePub and Kindle....

Mathematical Analysis and Applications

Mathematical Analysis and Applications
  • Author : V. Rădulescu,Vicentiu D. Radulescu,Constantin Niculescu (P.)
  • Publisher : American Institute of Physics
  • Release Date : 2006-05-25
  • Total pages : 167
  • ISBN : 9780080521664
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Summary : 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 ...

Nonlinear Partial Differential Equations with Applications

Nonlinear Partial Differential Equations with Applications
  • Author : Tomás Roubicek
  • Publisher : Springer Science & Business Media
  • Release Date : 2005-09-16
  • Total pages : 405
  • ISBN : 9780080521664
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Summary : This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or ...

Intelligent Systems and Automation

Intelligent Systems and Automation
  • Author : Hichem Arioui,Rochdi Merzouki,Hadj Ahmed Abbassi
  • Publisher : American Institute of Physics
  • Release Date : 2008-06-17
  • Total pages : 584
  • ISBN : 9780080521664
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Summary : Annaba, Algeria, 30 June - 2 July 2008...

Dynamic Systems and Applications

Dynamic Systems and Applications
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2003
  • Total pages : 212
  • ISBN : 9780080521664
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Summary : Download or read online Dynamic Systems and Applications written by , published by which was released on 2003. Get Dynamic Systems and Applications Books now! Available in PDF, ePub and Kindle....

SIAM Journal on Control and Optimization

SIAM Journal on Control and Optimization
  • Author : Society for Industrial and Applied Mathematics
  • Publisher : Unknown
  • Release Date : 2002
  • Total pages : 212
  • ISBN : 9780080521664
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Summary : Download or read online SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics, published by which was released on 2002. Get SIAM Journal on Control and Optimization Books now! Available in PDF, ePub and Kindle....

Journal of analysis and its application

Journal of analysis and its application
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 212
  • ISBN : 9780080521664
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Summary : Download or read online Journal of analysis and its application written by , published by which was released on 2004. Get Journal of analysis and its application Books now! Available in PDF, ePub and Kindle....