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- 要約等...ensive account of the renormalizatio......its extension, the doublet scheme......metrical point of view. It extra......om microscopic equations in an intuitiv......tandable way rather than in a mathematically rigor......readers to a mathematically eleme......solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including ......onnection with the separation of scales. Then it formulates the RG method as a......ruction method of envelopes of the naive perturba......lar terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes success...
- タイトル標目Fundamental theories of physics ; v. 206
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- 内容細目First order-differential equations Second-order linear equations Higher-order linear equations Series solutions of second-order linear equations The Laplace transform Systems of first-order linear equations Numerical methods Nonlinear differential equations and stability Partial differential equations and Fourier se......turm-Liouville theory.
- 件名Differential equations. Boundary value problems.
- 一般注記...e's Elementary Differential Equations and Boundary V......ia, Africa and the Middle East only and may not ...
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- 要約等Continuing the strong tradition of functional ana...... and stability theory for differential and integral equations already established by the previous volum......ders in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, an......rix functions. The stability of abstract compa......d evolutionary equations in Banach spac......discussed. For the first time, the method first e......d Bogolubov in their investigations of oscillations i......ew field: that of the stability problem of systems with s......uld facilitate the solution of engineering problems in such ...
- 内容細目Introduction to the Series, Foreword, Preface to the English editio......ility Analysis of ODEs by the Method of Limiting Equations, 2 Limiting Equations and Stability of Infinite Delay...... and Stability of Motion under S......ility Analysis of Solutions of ODEs (Continue......), 5 Stability of Integro-Differential Systems, 6 Opt...... Stabilization of Controlled Mot......n and Limiting Equations, 7 Stability of Abstract Compa......s Evolutionary Equations of Parabolic and Hyperbolic Type...
- 関連情報Stability and control : theory, methods and applications
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- 要約等The purpose of this book is t...... diverse areas of researchers in......quantification theory. As is well......quantification theory has attracted the attention of a countless number of researchers, some mathematically oriented and others not, but all of them are experts in their own discipli......ires a variety of mathematical and sta......rategies, some of which are quit......quantification theory, the current book p......ary requisites of mathematical tools than on details of quantification theory. As such, the book is primar......y is outside mathematical sciences. The book was designed to offer non-mathematicians a varie...
- 内容細目...Quantification Theory 3.3 Differe......3.4 Derivative of a Function of One Variable 3.5 Derivative of a Function of a Function 3.6...... Minimum Value of a Function 3.9......ifferent Forms of Matrices 4.1.1......dence 4.4 Rank of a Matrix 4.5 System of Linear Equations 4.6 Homogeneous Equations and Trivial So......n 4.8 Rotation of Axes 4.9 Chara......istic Equation of the Quadratic Form......e-Way Analysis of Variance 5.6 M......tiway Analysis of Variance 5.7 D.......1 Pythagorean Theorem 6.2.2 The Cosine Law 6.2......ng-Householder Theorem 6.2.4 Eckart-Young Theorem 6.2.5 Chi-......Quantification Theory 7 General Introduction 7.1...
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- 要約等...ained textbook of the theory of Besov spaces a......ons to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and......n domains, and the Kato problem. ......ed to overcome the shortcomings of Besov spaces a......paces as well. The only prior kno......ledge required of readers is fam......th integration theory and some el......cluded to show the complicated wa...... are required. The necessary term......is provided at the outset, and the theory of distributions, Lp s...
- タイトル標目Developments in mathematics ; v. 56. 1389-2177
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- 要約等"This book is part of a two volume s......which presents the analysis of nonlinear phen......sses nonlinear differential and differential equations, bifurcation theory for periodi......l connections. The integrability ...... reversibility of planar vector fields and theoretical analysis of classic physic......oncentrates on the mathematical theory and computa...... essential for the study of nonlinear scie......ptics"--Page 4 of cover.
- 内容細目...ifurcations in the Lorenz system ......rm for a class of three-dimensio...... PART II. WAVE EQUATIONS. Solitary waves in the nonlinear Dira......tic invariants of second order K......toro PART III. DIFFERENTIAL AND DIFFERENCE EQUATIONS. Local integra......ffusive limits of the master equatio......icant falls in the price of a stock index ......Ana M. Lara On the numerical appr......ized Ostrovsky equations: I / Ángel Durán On the numerical appr......ized Ostrovsky equations: II / Ángel Durán Simulatin...
- 件名Nonlinear theories--Congress......ems. Nonlinear theories.