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Regular Variation And Differential Equations
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Book Synopsis Regular Variation and Differential Equations by : Vojislav Maric
Download or read book Regular Variation and Differential Equations written by Vojislav Maric and published by Springer. This book was released on 2007-05-06 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book offering an application of regular variation to the qualitative theory of differential equations. The notion of regular variation, introduced by Karamata (1930), extended by several scientists, most significantly de Haan (1970), is a powerful tool in studying asymptotics in various branches of analysis and in probability theory. Here, some asymptotic properties (including non-oscillation) of solutions of second order linear and of some non-linear equations are proved by means of a new method that the well-developed theory of regular variation has yielded. A good graduate course both in real analysis and in differential equations suffices for understanding the book.
Book Synopsis Regular Variation and Differential Equations by : Vojislav Maric
Download or read book Regular Variation and Differential Equations written by Vojislav Maric and published by Springer Science & Business Media. This book was released on 2000-03-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD '99, held in Beijing, China, in April 1999. The 29 revised full papers presented together with 37 short papers were carefully selected from a total of 158 submissions. The book is divided into sections on emerging KDD technology; association rules; feature selection and generation; mining in semi-unstructured data; interestingness, surprisingness, and exceptions; rough sets, fuzzy logic, and neural networks; induction, classification, and clustering; visualization; causal models and graph-based methods; agent-based and distributed data mining; and advanced topics and new methodologies.
Book Synopsis Regular Variation by : N. H. Bingham
Download or read book Regular Variation written by N. H. Bingham and published by Cambridge University Press. This book was released on 1989-06-15 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory and applications of regular variation.
Book Synopsis Ordinary Differential Equations and Stability Theory: by : David A. Sanchez
Download or read book Ordinary Differential Equations and Stability Theory: written by David A. Sanchez and published by Courier Dover Publications. This book was released on 2019-09-18 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.
Book Synopsis Ordinary Differential Equations and Calculus of Variations by : M. V. Makarets
Download or read book Ordinary Differential Equations and Calculus of Variations written by M. V. Makarets and published by World Scientific. This book was released on 1995 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This problem book contains exercises for courses in differential equations and calculus of variations at universities and technical institutes. It is designed for non-mathematics students and also for scientists and practicing engineers who feel a need to refresh their knowledge. The book contains more than 260 examples and about 1400 problems to be solved by the students ? much of which have been composed by the authors themselves. Numerous references are given at the end of the book to furnish sources for detailed theoretical approaches, and expanded treatment of applications.
Book Synopsis Ordinary Differential Equations by : Morris Tenenbaum
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Book Synopsis Ordinary Differential Equations with Applications by : Ali Mason
Download or read book Ordinary Differential Equations with Applications written by Ali Mason and published by Scientific e-Resources. This book was released on 2018-10-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations (ODEs) arise in many contexts of mathematics and science (social as well as natural). Mathematical descriptions of change use differentials and derivatives. Various differentials, derivatives, and functions become related to each other via equations, and thus a differential equation is a result that describes dynamically changing phenomena, evolution, and variation. Often, quantities are defined as the rate of change of other quantities (for example, derivatives of displacement with respect to time), or gradients of quantities, which is how they enter differential equations. Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. Systems of differential equations form the basis of mathematical models in a wide range of fields - from engineering and physical sciences to finance and biological sciences. Differential equations are relations between unknown functions and their derivatives. Computing numerical solutions to differential equations is one of the most important tasks in technical computing, and one of the strengths of MATLAB. The book explains the origins of various types of differential equations. The scope of the book is limited to linear differential equations of the first order, linear differential equation of higher order, partial differential equations and special methods of solution of differential equations of second order, keeping in view the requirement of students.
Book Synopsis Pseudo-Regularly Varying Functions and Generalized Renewal Processes by : Valeriĭ V. Buldygin
Download or read book Pseudo-Regularly Varying Functions and Generalized Renewal Processes written by Valeriĭ V. Buldygin and published by Springer. This book was released on 2018-10-12 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in many fields of mathematics. The structure of the book reflects the historical development of the authors’ research work and approach – first some applications are discussed, after which a basic theory is created, and finally further applications are provided. The authors present a generalized and unified approach to the asymptotic behavior of renewal processes, involving cases of dependent inter-arrival times. This method works for other important functionals as well, such as first and last exit times or sojourn times (also under dependencies), and it can be used to solve several other problems. For example, various applications in function analysis concerning Abelian and Tauberian theorems can be studied as well as those in studies of the asymptotic behavior of solutions of stochastic differential equations. The classes of functions that are investigated and used in a probabilistic context extend the well-known Karamata theory of regularly varying functions and thus are also of interest in the theory of functions. The book provides a rigorous treatment of the subject and may serve as an introduction to the field. It is aimed at researchers and students working in probability, the theory of stochastic processes, operations research, mathematical statistics, the theory of functions, analytic number theory and complex analysis, as well as economists with a mathematical background. Readers should have completed introductory courses in analysis and probability theory.
Book Synopsis Generalized Ordinary Differential Equations by : Stefan Schwabik
Download or read book Generalized Ordinary Differential Equations written by Stefan Schwabik and published by World Scientific. This book was released on 1992-10-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contemporary approach of J Kurzweil and R Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form of the integral based on integral sums is defined. The theory of generalized differential equations based on this integral is then used, for example, to cover differential equations with impulses or measure differential equations. Solutions of generalized differential equations are found to be functions of bounded variations.The book may be used for a special undergraduate course in mathematics or as a postgraduate text. As there are currently no other special research monographs or textbooks on this topic in English, this book is an invaluable reference text for those interested in this field.
Book Synopsis Ordinary Differential Equations by : W. Cox
Download or read book Ordinary Differential Equations written by W. Cox and published by Butterworth-Heinemann. This book was released on 1996-01-05 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts are worked through in detail and the student is encouraged to develop much of the routine material themselves.
Book Synopsis Differential Equations by : H. S. Bear
Download or read book Differential Equations written by H. S. Bear and published by Courier Corporation. This book was released on 2013-10-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
Book Synopsis Stability & Periodic Solutions of Ordinary & Functional Differential Equations by : T. A. Burton
Download or read book Stability & Periodic Solutions of Ordinary & Functional Differential Equations written by T. A. Burton and published by Courier Corporation. This book was released on 2014-06-24 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book's discussion of a broad class of differential equations includes linear differential and integrodifferential equations, fixed-point theory, and the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
Book Synopsis Text Book of Differential Equations by : A. K. Sharma
Download or read book Text Book of Differential Equations written by A. K. Sharma and published by Discovery Publishing House. This book was released on 2010 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has been divided into nine chapters. It deals the introduction to differential equation, differential equation of first order but not of first degree, the differential equation of first order and first degree, application of first order differential, linear equations, methods of variation of parameters and undetermined coefficients, linear equations of second order, ordinary simultaneous differential equation, total differential equations (Pfaffian Differential Forms and Equations). The book include fundamental concepts, illustrative examples and applications to various problems. Contents: An introduction to Differential Equations, Differential Equations of First Order but not of First Degree, Differential Equations of First Order and First Degree, Applications of first Order Differential, Linear Equations, Methods of Variation of Parameters and Undermined Coefficients, Linear Equations of Second Order, Ordinary Simultaneously Differential Equations, Total Differential Equations (Pfaffian Differential Forms and Equations).
Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque
Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author :Vladimir I. Arnold Publisher :Springer Science & Business Media ISBN 13 :9783540548133 Total Pages :346 pages Book Rating :4.5/5 (481 download)
Book Synopsis Ordinary Differential Equations by : Vladimir I. Arnold
Download or read book Ordinary Differential Equations written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 1992-05-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW
Book Synopsis Ordinary Differential Equations by : George F. Carrier
Download or read book Ordinary Differential Equations written by George F. Carrier and published by SIAM. This book was released on 1968-01-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches techniques for constructing solutions of differential equations in a novel way, often giving readers opportunity for ingenuity.
Book Synopsis A Course in Ordinary Differential Equations by : Stephen A. Wirkus
Download or read book A Course in Ordinary Differential Equations written by Stephen A. Wirkus and published by CRC Press. This book was released on 2006-10-23 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o
