Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative
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Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative
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Author : Gennadii V. Demidenko
language : en
Publisher: CRC Press
Release Date : 2003-04-25
Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative written by Gennadii V. Demidenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-25 with Mathematics categories.
Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, t
Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative
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Author : Gennadii V. Demidenko
language : en
Publisher: CRC Press
Release Date : 2003-04-25
Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative written by Gennadii V. Demidenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-25 with Mathematics categories.
This text introduces a classification of equations and systems not solved with respect to the higher-order derivative, and studies boundary-value problems for these classes of equations. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid.
Solvability Regularity And Optimal Control Of Boundary Value Problems For Pdes
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Author : Pierluigi Colli
language : en
Publisher: Springer
Release Date : 2017-11-03
Solvability Regularity And Optimal Control Of Boundary Value Problems For Pdes written by Pierluigi Colli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-03 with Mathematics categories.
This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.
Stochastic Versus Deterministic Systems Of Differential Equations
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Author : G. S. Ladde
language : en
Publisher: CRC Press
Release Date : 2003-12-05
Stochastic Versus Deterministic Systems Of Differential Equations written by G. S. Ladde and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-05 with Mathematics categories.
This peerless reference/text unfurls a unified and systematic study of the two types of mathematical models of dynamic processes-stochastic and deterministic-as placed in the context of systems of stochastic differential equations. Using the tools of variational comparison, generalized variation of constants, and probability distribution as its met
Semigroups Of Operators Theory And Applications
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Author : Jacek Banasiak
language : en
Publisher: Springer
Release Date : 2014-11-20
Semigroups Of Operators Theory And Applications written by Jacek Banasiak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-20 with Mathematics categories.
Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.
Applied Functional Analysis
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Author : Abul Hasan Siddiqi
language : en
Publisher: CRC Press
Release Date : 2003-09-19
Applied Functional Analysis written by Abul Hasan Siddiqi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-19 with Mathematics categories.
The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and n
Russian Journal Of Mathematical Physics
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Author :
language : en
Publisher:
Release Date : 2006
Russian Journal Of Mathematical Physics 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 Mathematical physics categories.
Nonoscillation And Oscillation Theory For Functional Differential Equations
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Author : Ravi P. Agarwal
language : en
Publisher: CRC Press
Release Date : 2004-08-30
Nonoscillation And Oscillation Theory For Functional Differential Equations written by Ravi P. Agarwal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-30 with Mathematics categories.
This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq
Non Linear Differential Equations And Dynamical Systems
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Author : Luis Manuel Braga da Costa Campos
language : en
Publisher: CRC Press
Release Date : 2019-11-05
Non Linear Differential Equations And Dynamical Systems written by Luis Manuel Braga da Costa Campos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.
Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set). The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials. The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions. Presents general first-order differential equations including non-linear like the Ricatti equation Discusses differentials of the first or higher order in two or more variables Includes discretization of differential equations as finite difference equations Describes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methods Examines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions
The Mathematical Theory Of Tone Systems
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Author : Jan Haluska
language : en
Publisher: CRC Press
Release Date : 2003-12-19
The Mathematical Theory Of Tone Systems written by Jan Haluska and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-19 with Mathematics categories.
The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of exa