Non-Oscillation Domains of Differential Equations with Two Parameters

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Publisher : Springer
ISBN 13 : 3540459189
Total Pages : 120 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Non-Oscillation Domains of Differential Equations with Two Parameters by : Angelo B. Mingarelli

Download or read book Non-Oscillation Domains of Differential Equations with Two Parameters written by Angelo B. Mingarelli and published by Springer. This book was released on 2006-11-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph is an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. The scope is a study of the values of the parameters for which the equation has one solution(s) having one (finitely many) zeros. The prototype is Hill's equation or Mathieu's equation. For the most part no periodicity assumptions are used and when such are made, more general notions such as almost periodic functions are introduced, extending many classical and introducing many new results. Many of the proofs in the first part are variational thus allowing for natural extensions to more general settings later. The book should be accessible to graduate students and researchers alike and the proofs are, for the most part, self-contained.

Non-oscillation Domains of Differential Equations with Two Parameters

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Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis Non-oscillation Domains of Differential Equations with Two Parameters by : Angelo Bernardo Mingarelli

Download or read book Non-oscillation Domains of Differential Equations with Two Parameters written by Angelo Bernardo Mingarelli and published by . This book was released on 1988 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Oscillation Domains of Differential Equations with Two Parameters

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Publisher :
ISBN 13 : 9783662205945
Total Pages : 132 pages
Book Rating : 4.2/5 (59 download)

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Book Synopsis Non-Oscillation Domains of Differential Equations with Two Parameters by : Angelo B. Mingarelli

Download or read book Non-Oscillation Domains of Differential Equations with Two Parameters written by Angelo B. Mingarelli and published by . This book was released on 2014-01-15 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scaling of Differential Equations

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Publisher : Springer
ISBN 13 : 3319327267
Total Pages : 149 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Scaling of Differential Equations by : Hans Petter Langtangen

Download or read book Scaling of Differential Equations written by Hans Petter Langtangen and published by Springer. This book was released on 2016-06-15 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.

Ordinary Differential Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 1470453665
Total Pages : 250 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Ordinary Differential Operators by : Aiping Wang

Download or read book Ordinary Differential Operators written by Aiping Wang and published by American Mathematical Soc.. This book was released on 2019-11-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1910 Herman Weyl published one of the most widely quoted papers of the 20th century in Analysis, which initiated the study of singular Sturm-Liouville problems. The work on the foundations of Quantum Mechanics in the 1920s and 1930s, including the proof of the spectral theorem for unbounded self-adjoint operators in Hilbert space by von Neumann and Stone, provided some of the motivation for the study of differential operators in Hilbert space with particular emphasis on self-adjoint operators and their spectrum. Since then the topic developed in several directions and many results and applications have been obtained. In this monograph the authors summarize some of these directions discussing self-adjoint, symmetric, and dissipative operators in Hilbert and Symplectic Geometry spaces. Part I of the book covers the theory of differential and quasi-differential expressions and equations, existence and uniqueness of solutions, continuous and differentiable dependence on initial data, adjoint expressions, the Lagrange Identity, minimal and maximal operators, etc. In Part II characterizations of the symmetric, self-adjoint, and dissipative boundary conditions are established. In particular, the authors prove the long standing Deficiency Index Conjecture. In Part III the symmetric and self-adjoint characterizations are extended to two-interval problems. These problems have solutions which have jump discontinuities in the interior of the underlying interval. These jumps may be infinite at singular interior points. Part IV is devoted to the construction of the regular Green's function. The construction presented differs from the usual one as found, for example, in the classical book by Coddington and Levinson.

Twistor Theory for Riemannian Symmetric Spaces

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Publisher : Springer
ISBN 13 : 3540470522
Total Pages : 120 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Twistor Theory for Riemannian Symmetric Spaces by : Francis E. Burstall

Download or read book Twistor Theory for Riemannian Symmetric Spaces written by Francis E. Burstall and published by Springer. This book was released on 2006-11-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.

Topology and Combinatorial Group Theory

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Publisher : Springer
ISBN 13 : 3540462961
Total Pages : 215 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Topology and Combinatorial Group Theory by : Paul Latiolais

Download or read book Topology and Combinatorial Group Theory written by Paul Latiolais and published by Springer. This book was released on 2006-11-14 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory. Many of the ideas presented are still in their infancy, and it is hoped that the work here will spur others to new and exciting developments. Among the many techniques disussed are the use of obstruction groups to distinguish certain exact sequences and several graph theoretic techniques with applications to the theory of groups.

Groups of Self-Equivalences and Related Topics

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Publisher : Springer
ISBN 13 : 3540470913
Total Pages : 223 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Groups of Self-Equivalences and Related Topics by : Renzo A. Piccinini

Download or read book Groups of Self-Equivalences and Related Topics written by Renzo A. Piccinini and published by Springer. This book was released on 2006-11-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.

Algebraic Geometry and Complex Analysis

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Publisher : Springer
ISBN 13 : 3540469133
Total Pages : 192 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algebraic Geometry and Complex Analysis by : Enrique Ramirez de Arellano

Download or read book Algebraic Geometry and Complex Analysis written by Enrique Ramirez de Arellano and published by Springer. This book was released on 2006-11-14 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recursion Theory Week

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Publisher : Springer
ISBN 13 : 3540471421
Total Pages : 398 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Recursion Theory Week by : Klaus Ambos-Spies

Download or read book Recursion Theory Week written by Klaus Ambos-Spies and published by Springer. This book was released on 2006-11-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics.

K-theory and Homological Algebra

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Publisher : Springer
ISBN 13 : 3540471626
Total Pages : 324 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis K-theory and Homological Algebra by : Hvedri Inassaridze

Download or read book K-theory and Homological Algebra written by Hvedri Inassaridze and published by Springer. This book was released on 2006-11-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Integrals

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Publisher : Springer
ISBN 13 : 3540469559
Total Pages : 211 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis New Integrals by : Peter S. Bullen

Download or read book New Integrals written by Peter S. Bullen and published by Springer. This book was released on 2006-11-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Algebras and Lie Groups

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Publisher : Springer
ISBN 13 : 3540706348
Total Pages : 180 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lie Algebras and Lie Groups by : Jean-Pierre Serre

Download or read book Lie Algebras and Lie Groups written by Jean-Pierre Serre and published by Springer. This book was released on 2009-02-07 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I.I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras (roots, weights, etc.); but, at least, I have given, as a last Chapter, the typical case ofal, . This part has been written with the help of F. Raggi and J. Tate. I want to thank them, and also Sue Golan, who did the typing for both parts. Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Algebras: Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A~ A (i.e., a k-homomorphism A0" A -+ A). As usual we may define left, right and two-sided ideals and therefore quo tients. Definition 1. A Lie algebra over Ie isan algebrawith the following properties: 1). The map A0i A -+ A admits a factorization A ®i A -+ A2A -+ A i.e., ifwe denote the imageof(x, y) under this map by [x, y) then the condition becomes for all x e k. [x, x)=0 2). (lx, II], z]+ny, z), x) + ([z, xl, til = 0 (Jacobi's identity) The condition 1) implies [x,1/]=-[1/, x).

H -Control Theory

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Publisher : Springer
ISBN 13 : 3540466045
Total Pages : 346 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis H -Control Theory by : Edoardo Mosca

Download or read book H -Control Theory written by Edoardo Mosca and published by Springer. This book was released on 2006-11-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental problem in control engineering is to provide robust performance to uncertain plants. H -control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H -control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers.- B.A. Francis: Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System.- H. Kwakernaak: The Polynomial Approach to H -Optimal Regulation.- J.B. Pearson: A Short Course in l - Optimal Control

Half-Linear Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080461239
Total Pages : 533 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Half-Linear Differential Equations by : Ondrej Dosly

Download or read book Half-Linear Differential Equations written by Ondrej Dosly and published by Elsevier. This book was released on 2005-07-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE's with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.- The first complete treatment of the qualitative theory of half-linear differential equations.- Comparison of linear and half-linear theory.- Systematic approach to half-linear oscillation and asymptotic theory.- Comprehensive bibliography and index.- Useful as a reference book in the topic.

Differential Geometry in the Large

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Publisher : Springer
ISBN 13 : 3540394826
Total Pages : 195 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Differential Geometry in the Large by : Heinz Hopf

Download or read book Differential Geometry in the Large written by Heinz Hopf and published by Springer. This book was released on 2003-07-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .

Combinatorial Optimization

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Publisher : Springer
ISBN 13 : 3540468102
Total Pages : 323 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Combinatorial Optimization by : Bruno Simeone

Download or read book Combinatorial Optimization written by Bruno Simeone and published by Springer. This book was released on 2006-11-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The C.I.M.E. Summer School at Como in 1986 was the first in that series on the subject of combinatorial optimization. Situated between combinatorics, computer science and operations research, the subject draws on a variety of mathematical methods to deal with problems motivated by real-life applications. Recent research has focussed on the connections to theoretical computer science, in particular to computational complexity and algorithmic issues. The Summer School's activity centered on the 4 main lecture courses, the notes of which are included in this volume: