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Extrema Of Nonlocal Functionals And Boundary Value Problems For Functional Differential Equations


Extrema Of Nonlocal Functionals And Boundary Value Problems For Functional Differential Equations
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Extrema Of Nonlocal Functionals And Boundary Value Problems For Functional Differential Equations


Extrema Of Nonlocal Functionals And Boundary Value Problems For Functional Differential Equations
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Author : Georgiĭ Aleksandrovich Kamenskiĭ
language : en
Publisher: Nova Publishers
Release Date : 2007

Extrema Of Nonlocal Functionals And Boundary Value Problems For Functional Differential Equations written by Georgiĭ Aleksandrovich Kamenskiĭ and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


The non-local functional is an integral with the integrand depending on the unknown function at different values of the argument. These types of functionals have different applications in physics, engineering and sciences. The Euler type equations that arise as necessary conditions of extrema of non-local functionals are the functional differential equations. The book is dedicated to systematic study of variational calculus for non-local functionals and to theory of boundary value problems for functional differential equations. There are described different necessary and some sufficient conditions for extrema of non-local functionals. Theorems of existence and uniqueness of solutions to many kinds of boundary value problems for functional differential equations are proved. The spaces of solutions to these problems are, as a rule, Sobolev spaces and it is not often possible to apply the analytical methods for solution of these problems. Therefore it is important to have approximate methods for their solution. Different approximate methods of solution of boundary value problems for functional differential equations and direct methods of variational calculus for non-local functionals are described in the book. The non-local functional is an integral with the integrand depending on the unknown function at different values of the argument. These types of functionals have different applications in physics, engineering and sciences. The Euler type equations that arise as necessary conditions of extrema of non-local functionals are the functional differential equations. The book is dedicated to systematic study of variational calculus for non-local functionals and to theory of boundary value problems for functional differential equations. There are described different necessary and some sufficient conditions for extrema of non-local functionals. Theorems of existence and uniqueness of solutions to many kinds of boundary value problems for functional differential equations are proved. The spaces of solutions to these problems are, as a rule, Sobolev spaces and it is not often possible to apply the analytical methods for solution of these problems. Therefore it is important to have approximate methods for their solution. Different approximate methods of solution of boundary value problems for functional differential equations and direct methods of variational calculus for non-local functionals are described in the book.



Advances In Mathematics Research


Advances In Mathematics Research
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Author : Gabriel Oyibo
language : en
Publisher: Nova Publishers
Release Date : 2003-10-17

Advances In Mathematics Research written by Gabriel Oyibo and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-17 with Mathematics categories.


Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics. Contents: Preface; Solvability of Quasilinear Elliptic Second Order Differential Equations in Rn without Condition at Infinity; Recent Topics on a Class of Nonlinear Integrodifferential Equations of Physical Significance'; Nonparametric Estimation with Censored Observations; Normalisers of Groups Commensurable with PSL2(Z); Spectral Analysis of a Class of Multigroup Neutron Transport Operators in Slab Geometry; Extremum of a Nonlocal Functional Depending on Higher Order Derivatives of the Unknown Function; On Quantum Conditional Probability Spaces; Index.



Functional Differential Equations


Functional Differential Equations
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Author :
language : en
Publisher:
Release Date : 2007

Functional Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Functional differential equations categories.




Communications In Applied Analysis


Communications In Applied Analysis
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Author :
language : en
Publisher:
Release Date : 2007

Communications In Applied Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematical analysis categories.




New Prospects In Direct Inverse And Control Problems For Evolution Equations


New Prospects In Direct Inverse And Control Problems For Evolution Equations
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Author : Angelo Favini
language : en
Publisher: Springer
Release Date : 2014-11-27

New Prospects In Direct Inverse And Control Problems For Evolution Equations written by Angelo Favini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-27 with Mathematics categories.


This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.



Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1970

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mechanics, Applied categories.




Bibliographic Index


Bibliographic Index
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Author :
language : en
Publisher:
Release Date : 2009

Bibliographic Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Bibliographical literature categories.




American Book Publishing Record


American Book Publishing Record
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Author :
language : en
Publisher:
Release Date : 2006

American Book Publishing Record written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with American literature categories.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.




Soviet Mathematics Doklady


Soviet Mathematics Doklady
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Author :
language : en
Publisher:
Release Date : 1987

Soviet Mathematics Doklady written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.