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Theory and Applications of Partial Functional Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 506/5 ( reviews)

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Book Synopsis Theory and Applications of Partial Functional Differential Equations by : Jianhong Wu

Download or read book Theory and Applications of Partial Functional Differential Equations written by Jianhong Wu. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

Theory and Applications of Partial Functional Differential Equations

2014 Differential equations
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Release : 2014
Genre : Differential equations
Kind : eBook
Book Rating : 178/5 ( reviews)

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Book Synopsis Theory and Applications of Partial Functional Differential Equations by : Abrar A. Khan

Download or read book Theory and Applications of Partial Functional Differential Equations written by Abrar A. Khan. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt:

Nonoscillation Theory of Functional Differential Equations with Applications

2012-04-23 Mathematics
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Release : 2012-04-23
Genre : Mathematics
Kind : eBook
Book Rating : 556/5 ( reviews)

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Book Synopsis Nonoscillation Theory of Functional Differential Equations with Applications by : Ravi P. Agarwal

Download or read book Nonoscillation Theory of Functional Differential Equations with Applications written by Ravi P. Agarwal. This book was released on 2012-04-23. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.​

Applied Theory of Functional Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 847/5 ( reviews)

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Book Synopsis Applied Theory of Functional Differential Equations by : V. Kolmanovskii

Download or read book Applied Theory of Functional Differential Equations written by V. Kolmanovskii. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems). The book contains eight chapters. Chapter 1 explains where functional differential equations come from and what sort of problems arise in applications. Chapter 2 gives a broad introduction to the basic principle involved and deals with systems having discrete and distributed delay. Chapters 3-5 are devoted to stability problems for retarded, neutral and stochastic functional differential equations. Problems of optimal control and estimation are considered in Chapters 6-8. For applied mathematicians, engineers, and physicists whose work involves mathematical modeling of hereditary systems. This volume can also be recommended as a supplementary text for graduate students who wish to become better acquainted with the properties and applications of functional differential equations.

Theory and applications of partial functional differential equations

Functional differential equations
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Genre : Functional differential equations
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Book Rating : 490/5 ( reviews)

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Book Synopsis Theory and applications of partial functional differential equations by : Amanora Puniest

Download or read book Theory and applications of partial functional differential equations written by Amanora Puniest. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Abstract semi linear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this textis to provide an introduction of the qualitative theory and applications of differential equations. The book "Theory and Applications of Partial Fucntional Differential Equations" contains ten chapters. The similarity reduction of poplinear partial differential equations has been discussed in first chapter. In second chapter, we propose new results in quadruple Laplace transform and prove some properties concerned with quadruple Laplace transform. The purpose of third chapter is to investigate global asymptotic stability of the zero solution of the fifth-order nonlinear delay differential equation. The modified simple equation method has been extended in fourth chapter to get the exact solutions of nonlinear partial time-space differential equations of fractional order. In fifth chapter, the VIM method is used to solve the quadratic optimal control problem of systems governed by linear PDEs. A partial information non-zero sum differential game of backward stochastic differential equations with applications has been introduced in sixth chapter. The aim of seventh chapter is to prove a few Leggert-Williams type theorems, in particular for a more general class of mappings than compact ones. Eighth chapter presents an experiment of improving the performance of spectral stochastic finite element method using high-order elements. We establish sufficient conditions for the existence of solutions for some partial functional differential equations to actual program has been proposed in last chapter.

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