Asymptotic Methods In The Theory Of Linear Differential Equations


Asymptotic Methods In The Theory Of Linear Differential Equations
Author: Stepan Fedorovich Feshchenko
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Asymptotic Methods In The Theory Of Linear Differential Equations

eBook File: Asymptotic-methods-in-the-theory-of-linear-differential-equations.PDF Book by Stepan Fedorovich Feshchenko, Asymptotic Methods In The Theory Of Linear Differential Equations Books available in PDF, EPUB, Mobi Format. Download Asymptotic Methods In The Theory Of Linear Differential Equations books,


Asymptotic Methods in the Theory of Linear Differential Equations
Language: en
Pages: 270
Authors: Stepan Fedorovich Feshchenko
Categories: Asymptotic expansions
Type: BOOK - Published: 1967 - Publisher:
Books about Asymptotic Methods in the Theory of Linear Differential Equations
Asymptotic Methods in the Theory of Stochastic Differential Equations
Language: en
Pages: 339
Authors: A. V. Skorokhod
Categories: Mathematics
Type: BOOK - Published: 2009-01-07 - Publisher: American Mathematical Soc.
Ergodic theorems: General ergodic theorems Densities for transition probabilities and resolvents for Markov solutions of stochastic differential equations Ergodic theorems for one-dimensional stochastic equations Ergodic theorems for solutions of stochastic equations in $R^d$ Asymptotic behavior of systems of stochastic equations containing a small parameter: Equations with a small right-hand side Processes with rapid switching Averaging over variables for systems of stochastic differential equations Stability. Linear systems: Stability of sample paths of homogeneous Markov processes Linear equations in $R^d$ and the stochastic semigroups connected with them. Stability Stability of solutions of stochastic differential equations Linear stochastic equations in Hilbert space. Stochastic semigroups. Stability: Linear equations with bounded coefficients Strong stochastic semigroups with second moments Stability Bibliography
Asymptotic Methods in Equations of Mathematical Physics
Language: en
Pages: 498
Authors: B Vainberg
Categories: Science
Type: BOOK - Published: 1989-02-25 - Publisher: CRC Press
Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Asymptotic Methods in the Theory of Non-linear Oscillations
Language: en
Pages: 537
Authors: Nikolaĭ Nikolaevich Bogoli︠u︡bov, Николай Николаевич Боголюбов, Iurii Alekseevich Mitropol'skii, Юрий Алексеевич Митропольский, Jurij A. Mitropolʹskij, Y. A. Mitropolsky
Categories: Technology & Engineering
Type: BOOK - Published: 1961 - Publisher: CRC Press
Books about Asymptotic Methods in the Theory of Non-linear Oscillations
Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations
Language: en
Pages: 324
Authors: Anatoliy M Samoilenko, Oleksandr Stanzhytskyi
Categories: Mathematics
Type: BOOK - Published: 2011-06-07 - Publisher: World Scientific
Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines: random processes and ordinary differential equations. Consequently, the sources of these methods come both from the theory of random processes and from the classic theory of differential equations. This work focuses on the approach to stochastic equations from the perspective of ordinary differential equations. For this purpose, both asymptotic and qualitative methods which appeared in the classical theory of differential equations and nonlinear mechanics are developed. Contents:Differential Equations with Random Right-Hand Sides and Impulsive EffectsInvariant Sets for Systems with Random PerturbationsLinear and Quasilinear Stochastic Ito SystemsExtensions of Ito Systems on a TorusThe Averaging Method for Equations with Random Perturbations Readership: Graduate students and researchers in mathematics and physics. Keywords:Stochastic Systems;Invariant Manifold;Invariant Torus;Lyapunov Function;Stability;Periodic Solutions;Reduction PrincipleKey Features:Develops new methods of studying the stochastic differential equations; contrary to the existing purely probabilistic methods, these methods are based on the differential equations approachStudies new classes of stochastic systems, for instance, the stochastic expansions of dynamical systems on the torus, enabling
Asymptotic Analysis
Language: en
Pages: 363
Authors: Mikhail V. Fedoryuk
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations. The asymptotic behaviour of an inhomogeneous equation can be obtained from the asymptotic behaviour of the corresponding fundamental system of solutions by applying methods for deriving asymptotic bounds on the relevant integrals. We systematically use the concept of an asymptotic expansion, details of which can if necessary be found in [Wasow 2, Olver 6]. By the "formal asymptotic solution" (F.A.S.) is understood a function which satisfies the equation to some degree of accuracy. Although this concept is not precisely defined, its meaning is always clear from the context. We also note that the term "Stokes line" used in the book is equivalent to the term "anti-Stokes line" employed in the physics literature.
Mathematics of the USSR.
Language: en
Pages:
Authors: Mikhail V. Fedoryuk
Categories: Mathematics
Type: BOOK - Published: 1969 - Publisher:
Books about Mathematics of the USSR.
Asymptotic Methods in Mechanics
Language: en
Pages: 282
Authors: RŽmi Vaillancourt, Andrei L. Smirnov
Categories: Technology & Engineering
Type: BOOK - Published: 1993-12-21 - Publisher: American Mathematical Soc.
Asymptotic methods constitute an important area of both pure and applied mathematics and have applications to a vast array of problems. This collection of papers is devoted to asymptotic methods applied to mechanical problems, primarily thin structure problems. The first section presents a survey of asymptotic methods and a review of the literature, including the considerable body of Russian works in this area. This part may be used as a reference book or as a textbook for advanced undergraduate or graduate students in mathematics or engineering. The second part presents original papers containing new results. Among the key features of the book are its analysis of the general theory of asymptotic integration with applications to the theory of thin shells and plates, and new results about the local forms of vibrations and buckling of thin shells which have not yet made their way into other monographs on this subject.
Russian Mathematical Surveys
Language: en
Pages:
Authors: RŽmi Vaillancourt, Andrei L. Smirnov
Categories: Mathematicians
Type: BOOK - Published: 2007 - Publisher:
Books about Russian Mathematical Surveys
Current Information Sources in Mathematics
Language: en
Pages: 281
Authors: Elie M. Dick
Categories: Mathematics
Type: BOOK - Published: 1973 - Publisher:
Books about Current Information Sources in Mathematics