Asymptotic Methods For Investigating Quasiwave Equations Of Hyperbolic Type

Author : Yuri A. Mitropolsky,G. Khoma,M. Gromyak
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401157520

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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by Yuri A. Mitropolsky,G. Khoma,M. Gromyak Pdf

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.

Author : Flaviano Battelli,Michal Fečkan
Publisher : Elsevier
Page : 400 pages
File Size : 55,6 Mb
Release : 2008-08-19
Category : Mathematics
ISBN : 0080559468

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Handbook of Differential Equations: Ordinary Differential Equations by Flaviano Battelli,Michal Fečkan Pdf

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

Author : Ferdinand Verhulst
Publisher : Springer Nature
Page : 199 pages
File Size : 44,9 Mb
Release : 2023-08-23
Category : Mathematics
ISBN : 9783031345159

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A Toolbox of Averaging Theorems by Ferdinand Verhulst Pdf

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.

Author : M Ronto,A M Samoilenko
Publisher : World Scientific
Page : 468 pages
File Size : 47,7 Mb
Release : 2000-06-30
Category : Mathematics
ISBN : 9789814495486

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Numerical-Analytic Methods in the Theory of Boundary-Value Problems by M Ronto,A M Samoilenko Pdf

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory — namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs. The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with the classical Cesari, Cesari–Hale and Lyapunov–Schmidt methods. Contents:Numerical-Analytic Method of Successive Approximations for Two-Point Boundary-Value ProblemsModification of the Numerical-Analytic Method for Two-Point Boundary-Value ProblemsNumerical-Analytic Method for Boundary-Value Problems with Parameters in Boundary ConditionsCollocation Method for Boundary-Value Problems with ImpulsesThe Theory of the Numerical-Analytic Method: Achievements and New Trends of Development Readership: Researchers on differential equations. Keywords:Ordinary Differential Equations;Nonlinear Boundary Value Problems;Periodic Boundary Value Problems;Nonlinear Boundary Conditions;Parametrized Boundary Value Problems;Numerical-Analytic Method;Successive Approximations;Determining Equations;Trigonometric Collocation;Impulsive Systems

Author : A. Uglanov
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 53,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401596220

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Integration on Infinite-Dimensional Surfaces and Its Applications by A. Uglanov Pdf

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.

Author : Volodymyr Koshmanenko
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401146197

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Singular Quadratic Forms in Perturbation Theory by Volodymyr Koshmanenko Pdf

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(

Author : Ferdinand Verhulst
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 41,5 Mb
Release : 2006-06-04
Category : Mathematics
ISBN : 9780387283135

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Methods and Applications of Singular Perturbations by Ferdinand Verhulst Pdf

Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach

Author : Antonio Degasperis,Giuseppe Gaeta
Publisher : World Scientific
Page : 338 pages
File Size : 51,9 Mb
Release : 1999-12-30
Category : Electronic
ISBN : 9789814543163

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Symmetry And Perturbation Theory: Spt 98 by Antonio Degasperis,Giuseppe Gaeta Pdf

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.

Author : Jan A. Sanders,Ferdinand Verhulst,James Murdock
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 48,5 Mb
Release : 2007-08-18
Category : Mathematics
ISBN : 9780387489186

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Averaging Methods in Nonlinear Dynamical Systems by Jan A. Sanders,Ferdinand Verhulst,James Murdock Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 2348 pages
File Size : 41,9 Mb
Release : 1998
Category : American literature
ISBN : UOM:39015058373930

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The Cumulative Book Index by Anonim Pdf

A world list of books in the English language.

Author : Anonim
Publisher : Unknown
Page : 666 pages
File Size : 51,8 Mb
Release : 2007
Category : Mathematicians
ISBN : UOM:39015072621223

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Russian Mathematical Surveys by Anonim Pdf

Author : Universitatea "Al. I. Cuza" din Iași
Publisher : Unknown
Page : 480 pages
File Size : 54,9 Mb
Release : 2005
Category : Mathematics
ISBN : UOM:39015085163544

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

Author : Arthur James Wells
Publisher : Unknown
Page : 1450 pages
File Size : 44,6 Mb
Release : 1998
Category : Bibliography, National
ISBN : UOM:39015079755826

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The British National Bibliography by Arthur James Wells Pdf

Author : Anonim
Publisher : Unknown
Page : 1520 pages
File Size : 45,6 Mb
Release : 2003
Category : Books
ISBN : UVA:X004667564

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Book Review Index by Anonim Pdf

Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.

Author : Anonim
Publisher : Unknown
Page : 3054 pages
File Size : 48,5 Mb
Release : 2001
Category : American literature
ISBN : STANFORD:36105022290980

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Subject Guide to Books in Print by Anonim Pdf