Delay Differential Evolutions Subjected To Nonlocal Initial Conditions

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Delay Differential Evolutions Subjected to Nonlocal Initial Conditions

Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie
Delay Differential Evolutions Subjected to Nonlocal Initial Conditions Book PDF

Author : Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie
Publisher : CRC Press
Page : 362 pages
File Size : 55,7 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781498746465

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Delay Differential Evolutions Subjected to Nonlocal Initial Conditions by Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie Pdf

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.

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions

Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie
Delay Differential Evolutions Subjected to Nonlocal Initial Conditions Book PDF

Author : Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie
Publisher : CRC Press
Page : 322 pages
File Size : 42,7 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315351681

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Delay Differential Evolutions Subjected to Nonlocal Initial Conditions by Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie Pdf

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.

New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Angelo Favini,Genni Fragnelli,Rosa Maria Mininni
New Prospects in Direct Inverse and Control Problems for Evolution Equations Book PDF

Author : Angelo Favini,Genni Fragnelli,Rosa Maria Mininni
Publisher : Springer
Page : 472 pages
File Size : 49,9 Mb
Release : 2014-11-27
Category : Mathematics
ISBN : 9783319114064

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New Prospects in Direct, Inverse and Control Problems for Evolution Equations by Angelo Favini,Genni Fragnelli,Rosa Maria Mininni Pdf

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.

Spectral and Scattering Theory for Second Order Partial Differential Operators

Kiyoshi Mochizuki
Spectral and Scattering Theory for Second Order Partial Differential Operators Book PDF

Author : Kiyoshi Mochizuki
Publisher : CRC Press
Page : 131 pages
File Size : 47,8 Mb
Release : 2017-06-01
Category : Mathematics
ISBN : 9781351648943

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Spectral and Scattering Theory for Second Order Partial Differential Operators by Kiyoshi Mochizuki Pdf

The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed.

Dynamic Equations on Time Scales and Applications

Ravi P Agarwal,Bipan Hazarika,Sanket Tikare
Dynamic Equations on Time Scales and Applications Book PDF

Author : Ravi P Agarwal,Bipan Hazarika,Sanket Tikare
Publisher : CRC Press
Page : 435 pages
File Size : 44,5 Mb
Release : 2024-10-18
Category : Mathematics
ISBN : 9781040103739

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Dynamic Equations on Time Scales and Applications by Ravi P Agarwal,Bipan Hazarika,Sanket Tikare Pdf

This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics

New Trends in the Applications of Differential Equations in Sciences

Angela Slavova
New Trends in the Applications of Differential Equations in Sciences Book PDF

Author : Angela Slavova
Publisher : Springer Nature
Page : 457 pages
File Size : 46,9 Mb
Release : 2023-03-17
Category : Mathematics
ISBN : 9783031214844

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New Trends in the Applications of Differential Equations in Sciences by Angela Slavova Pdf

This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17–20, 2022. The works are devoted to many applications of differential equations in different fields of science. A number of phenomena in nature (physics, chemistry, biology) and in society (economics) result in problems leading to the study of linear and nonlinear differential equations, stochastic equations, statistics, analysis, numerical analysis, optimization, and more. The main topics are presented in the five parts of the book - applications in mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis. In this volume, the reader will find a wide range of problems concerning recent achievements in both theoretical and applied mathematics. The main goal is to promote the exchange of new ideas and research between scientists, who develop and study differential equations, and researchers, who apply them for solving real-life problems. The book promotes basic research in mathematics leading to new methods and techniques useful for applications of differential equations. The NTADES 2022 conference was organized in cooperation with the Society of Industrial and Applied Mathematics (SIAM), the major international organization for Industrial and Applied Mathematics and for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering, finance, and neuroscience.

Iterative Methods without Inversion

Anatoly Galperin
Iterative Methods without Inversion Book PDF

Author : Anatoly Galperin
Publisher : CRC Press
Page : 241 pages
File Size : 46,9 Mb
Release : 2016-11-17
Category : Mathematics
ISBN : 9781498758963

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Iterative Methods without Inversion by Anatoly Galperin Pdf

Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s methods. Convergence analyses of the methods considered are based on Kantorovich’s majorization principle which avoids unnecessary simplifying assumptions like differentiability of the operator or solvability of the equation. These analyses are carried out under a more general assumption about degree of continuity of the operator than traditional Lipschitz continuity: regular continuity. Key Features The methods discussed are analyzed under the assumption of regular continuity of divided difference operator, which is more general and more flexible than the traditional Lipschitz continuity. An attention is given to criterions for comparison of merits of various methods and to the related concept of optimality of a method of certain class. Many publications on methods for solving nonlinear operator equations discuss methods that involve inversion of linearization of the operator, which task is highly problematic in infinite dimensions. Accessible for anyone with minimal exposure to nonlinear functional analysis.

Symmetry and Quantum Mechanics

Scott Corry
Symmetry and Quantum Mechanics Book PDF

Author : Scott Corry
Publisher : CRC Press
Page : 283 pages
File Size : 43,9 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781498701174

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Symmetry and Quantum Mechanics by Scott Corry Pdf

Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry. Aimed at advanced undergraduate and beginning graduate students in mathematics with only a minimal background in physics, this title is also useful to physicists seeking a mathematical introduction to the subject. Part I focuses on spin, and covers such topics as Lie groups and algebras, while part II offers an account of position and momentum in the context of the representation theory of the Heisenberg group, along the way providing an informal discussion of fundamental concepts from analysis such as self-adjoint operators on Hilbert space and the Stone-von Neumann Theorem. Mathematical theory is applied to physical examples such as spin-precession in a magnetic field, the harmonic oscillator, the infinite spherical well, and the hydrogen atom.

Analytical Methods for Kolmogorov Equations

Luca Lorenzi
Analytical Methods for Kolmogorov Equations Book PDF

Author : Luca Lorenzi
Publisher : CRC Press
Page : 572 pages
File Size : 41,7 Mb
Release : 2016-10-04
Category : Mathematics
ISBN : 9781315355627

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Analytical Methods for Kolmogorov Equations by Luca Lorenzi Pdf

The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this edition is the first to use a unified approach to contain the new results in a singular place.

Finite Element Methods for Eigenvalue Problems

Jiguang Sun,Aihui Zhou
Finite Element Methods for Eigenvalue Problems Book PDF

Author : Jiguang Sun,Aihui Zhou
Publisher : CRC Press
Page : 327 pages
File Size : 54,5 Mb
Release : 2016-08-19
Category : Mathematics
ISBN : 9781315355153

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Finite Element Methods for Eigenvalue Problems by Jiguang Sun,Aihui Zhou Pdf

This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.

Elements of Quasigroup Theory and Applications

Victor Shcherbacov
Elements of Quasigroup Theory and Applications Book PDF

Author : Victor Shcherbacov
Publisher : CRC Press
Page : 423 pages
File Size : 44,9 Mb
Release : 2017-05-12
Category : Computers
ISBN : 9781351646369

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Elements of Quasigroup Theory and Applications by Victor Shcherbacov Pdf

This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Bounds for Determinants of Linear Operators and their Applications

Michael Gil'
Bounds for Determinants of Linear Operators and their Applications Book PDF

Author : Michael Gil'
Publisher : CRC Press
Page : 153 pages
File Size : 43,9 Mb
Release : 2017-03-03
Category : Mathematics
ISBN : 9781351652315

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Bounds for Determinants of Linear Operators and their Applications by Michael Gil' Pdf

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.

Actions and Invariants of Algebraic Groups

Walter Ricardo Ferrer Santos,Alvaro Rittatore
Actions and Invariants of Algebraic Groups Book PDF

Author : Walter Ricardo Ferrer Santos,Alvaro Rittatore
Publisher : CRC Press
Page : 479 pages
File Size : 52,6 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9781482239164

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Actions and Invariants of Algebraic Groups by Walter Ricardo Ferrer Santos,Alvaro Rittatore Pdf

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Computation with Linear Algebraic Groups

Willem Adriaan de Graaf
Computation with Linear Algebraic Groups Book PDF

Author : Willem Adriaan de Graaf
Publisher : CRC Press
Page : 391 pages
File Size : 48,7 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781351646451

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Computation with Linear Algebraic Groups by Willem Adriaan de Graaf Pdf

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.

Noncommutative Deformation Theory

Eivind Eriksen,Olav Arnfinn Laudal,Arvid Siqveland
Noncommutative Deformation Theory Book PDF

Author : Eivind Eriksen,Olav Arnfinn Laudal,Arvid Siqveland
Publisher : CRC Press
Page : 242 pages
File Size : 53,7 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9781498796026

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Noncommutative Deformation Theory by Eivind Eriksen,Olav Arnfinn Laudal,Arvid Siqveland Pdf

Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.