Asymptotic Methods For Investigating Quasiwave Equations Of Hyperbolic Type

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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type

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Author : Yuri A. Mitropolsky
Publisher : Springer Science & Business Media
ISBN 13 : 9401157529
Total Pages : 223 pages
Book Rating : 4.4/5 (11 download)

Book Synopsis Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by : Yuri A. Mitropolsky

Download or read book Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two dimensional equations were investigated by Bitsadze, Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others. Concerning the solvability in general of nonlinear hyperbolic equations, which are connected to the theory of local and nonlocal boundary value problems for hyperbolic equations, there are only partial results obtained by Bronshtein, Pokhozhev, Nakhushev.

Methods and Applications of Singular Perturbations

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Author : Ferdinand Verhulst
Publisher : Springer Science & Business Media
ISBN 13 : 0387283137
Total Pages : 332 pages
Book Rating : 4.3/5 (872 download)

Book Synopsis Methods and Applications of Singular Perturbations by : Ferdinand Verhulst

Download or read book Methods and Applications of Singular Perturbations written by Ferdinand Verhulst and published by Springer Science & Business Media. This book was released on 2006-06-04 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach

Averaging Methods in Nonlinear Dynamical Systems

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Author : Jan A. Sanders
Publisher : Springer Science & Business Media
ISBN 13 : 0387489185
Total Pages : 447 pages
Book Rating : 4.3/5 (874 download)

Book Synopsis Averaging Methods in Nonlinear Dynamical Systems by : Jan A. Sanders

Download or read book Averaging Methods in Nonlinear Dynamical Systems written by Jan A. Sanders and published by Springer Science & Business Media. This book was released on 2007-08-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. One of the most striking features of the book is the collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with illuminating diagrams.

Handbook of Differential Equations: Ordinary Differential Equations

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Author : Flaviano Battelli
Publisher : Elsevier
ISBN 13 : 0080559468
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Handbook of Differential Equations: Ordinary Differential Equations by : Flaviano Battelli

Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by Flaviano Battelli and published by Elsevier. This book was released on 2008-08-19 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields

A Toolbox of Averaging Theorems

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Author : Ferdinand Verhulst
Publisher : Springer Nature
ISBN 13 : 3031345150
Total Pages : 199 pages
Book Rating : 4.0/5 (313 download)

Book Synopsis A Toolbox of Averaging Theorems by : Ferdinand Verhulst

Download or read book A Toolbox of Averaging Theorems written by Ferdinand Verhulst and published by Springer Nature. This book was released on 2023-08-23 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/ε. Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs). In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practical tools and theoretical insights to help you tackle a range of mathematical problems.

Symmetry And Perturbation Theory: Spt 98

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Author : Antonio Degasperis
Publisher : World Scientific
ISBN 13 : 9814543160
Total Pages : 338 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Symmetry And Perturbation Theory: Spt 98 by : Antonio Degasperis

Download or read book Symmetry And Perturbation Theory: Spt 98 written by Antonio Degasperis and published by World Scientific. This book was released on 1999-12-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second workshop on “Symmetry and Perturbation Theory” served as a forum for discussing the relations between symmetry and perturbation theory, and this put in contact rather different communities. The extension of the rigorous results of perturbation theory established for ODE's to the case of nonlinear evolution PDE's was also discussed: here a number of results are known, particularly in connection with (perturbation of) integrable systems, but there is no general frame as solidly established as in the finite-dimensional case. In aiming at such an infinite-dimensional extension, for which standard analytical tools essential in the ODE case are not available, it is natural to look primarily at geometrical and topological methods, and first of all at those based on exploiting the symmetry properties of the systems under study (both the unperturbed and the perturbed ones); moreover, symmetry considerations are in several ways basic to our understanding of integrability, i.e. finally of the unperturbed systems on whose understanding the whole of perturbation theory has unavoidably to rely.This volume contains tutorial, regular and contributed papers. The tutorial papers give students and newcomers to the field a rapid introduction to some active themes of research and recent results in symmetry and perturbation theory.

Integration on Infinite-Dimensional Surfaces and Its Applications

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Author : A. Uglanov
Publisher : Springer Science & Business Media
ISBN 13 : 9401596220
Total Pages : 280 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Integration on Infinite-Dimensional Surfaces and Its Applications by : A. Uglanov

Download or read book Integration on Infinite-Dimensional Surfaces and Its Applications written by A. Uglanov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century. At least the author is not aware of any publication concerning this theme, although as early as 1967 L. Gross mentioned that the analysis on infinite dimensional manifolds is a field of research with rather rich opportunities in his classical work [2. This prediction was brilliantly confirmed afterwards, but we shall return to this later on. In those days the integration theory in infinite dimensional linear spaces was essentially developed in the heuristic works of RP. Feynman [1], I. M. Gelfand, A. M. Yaglom [1]). The articles of J. Eells [1], J. Eells and K. D. Elworthy [1], H. -H. Kuo [1], V. Goodman [1], where the contraction of a Gaussian measure on a hypersurface, in particular, was built and the divergence theorem (the Gauss-Ostrogradskii formula) was proved, appeared only in the beginning of the 70s. In this case a Gaussian specificity was essential and it was even pointed out in a later monograph of H. -H. Kuo [3] that the surface measure for the non-Gaussian case construction problem is not simple and has not yet been solved. A. V. Skorokhod [1] and the author [6,10] offered different approaches to such a construction. Some other approaches were offered later by Yu. L. Daletskii and B. D. Maryanin [1], O. G. Smolyanov [6], N. V.

Singular Quadratic Forms in Perturbation Theory

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Author : Volodymyr Koshmanenko
Publisher : Springer Science & Business Media
ISBN 13 : 9401146195
Total Pages : 316 pages
Book Rating : 4.4/5 (11 download)

Book Synopsis Singular Quadratic Forms in Perturbation Theory by : Volodymyr Koshmanenko

Download or read book Singular Quadratic Forms in Perturbation Theory written by Volodymyr Koshmanenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense. Numerous physical models are based on the use of Hamiltonians containing perturba tion terms with singular properties. Typical examples of such expressions are Schrodin ger operators with O-potentials (-~ + AD) and Hamiltonians in quantum field theory with perturbations given in terms of operators of creation and annihilation (P(

The Cumulative Book Index

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Author :
Publisher :
ISBN 13 :
Total Pages : 2348 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis The Cumulative Book Index by :

Download or read book The Cumulative Book Index written by and published by . This book was released on 1998 with total page 2348 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.

Russian Mathematical Surveys

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Author :
Publisher :
ISBN 13 :
Total Pages : 666 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Russian Mathematical Surveys by :

Download or read book Russian Mathematical Surveys written by and published by . This book was released on 2007 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analele științifice ale Universitatii "Al. I. Cuza" din Iași. Serie nouă

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Author : Universitatea "Al. I. Cuza" din Iași
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Analele științifice ale Universitatii "Al. I. Cuza" din Iași. Serie nouă by : Universitatea "Al. I. Cuza" din Iași

Download or read book Analele științifice ale Universitatii "Al. I. Cuza" din Iași. Serie nouă written by Universitatea "Al. I. Cuza" din Iași and published by . This book was released on 2005 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations

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Author : A. Yu Kolesev
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (637 download)

Book Synopsis Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations by : A. Yu Kolesev

Download or read book Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations written by A. Yu Kolesev and published by . This book was released on 1998 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The British National Bibliography

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Author : Arthur James Wells
Publisher :
ISBN 13 :
Total Pages : 1450 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 1998 with total page 1450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Subject Guide to Books in Print

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ISBN 13 :
Total Pages : 3054 pages
Book Rating : 4.F/5 ( download)

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Download or read book Subject Guide to Books in Print written by and published by . This book was released on 2001 with total page 3054 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Review Index

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ISBN 13 :
Total Pages : 1520 pages
Book Rating : 4.X/5 (4 download)

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Download or read book Book Review Index written by and published by . This book was released on 2003 with total page 1520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.

Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations

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Author : A. Yu Kolesov
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (87 download)

Book Synopsis Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations by : A. Yu Kolesov

Download or read book Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations written by A. Yu Kolesov and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 1236 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1236 pages. Available in PDF, EPUB and Kindle. Book excerpt: