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Titlebook: Algebraic Methods in Nonlinear Perturbation Theory; V. N. Bogaevski,A. Povzner Book 1991 Springer-Verlag New York, Inc. 1991 algebra.appli

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樓主
發(fā)表于 2025-3-21 18:54:05 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebraic Methods in Nonlinear Perturbation Theory
影響因子2023V. N. Bogaevski,A. Povzner
視頻videohttp://file.papertrans.cn/153/152674/152674.mp4
學(xué)科分類Applied Mathematical Sciences
圖書封面Titlebook: Algebraic Methods in Nonlinear Perturbation Theory;  V. N. Bogaevski,A. Povzner Book 1991 Springer-Verlag New York, Inc. 1991 algebra.appli
影響因子Many books have already been written about the perturbation theory of differential equations with a small parameter. Therefore, we would like to give some reasons why the reader should bother with still another book on this topic. Speaking for the present only about ordinary differential equations and their applications, we notice that methods of solutions are so numerous and diverse that this part of applied mathematics appears as an aggregate of poorly connected methods. The majority of these methods require some previous guessing of a structure of the desired asymptotics. The Poincare method of normal forms and the Bogolyubov-Krylov- Mitropolsky averaging methods, well known in the literature, should be mentioned specifically in connection with what will follow. These methods do not assume an immediate search for solutions in some special form, but make use of changes of variables close to the identity transformation which bring the initial system to a certain normal form. Applicability of these methods is restricted by special forms of the initial systems.
Pindex Book 1991
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沙發(fā)
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0066-5452 e to give some reasons why the reader should bother with still another book on this topic. Speaking for the present only about ordinary differential equations and their applications, we notice that methods of solutions are so numerous and diverse that this part of applied mathematics appears as an a
板凳
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Book 1991on with what will follow. These methods do not assume an immediate search for solutions in some special form, but make use of changes of variables close to the identity transformation which bring the initial system to a certain normal form. Applicability of these methods is restricted by special forms of the initial systems.
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978-1-4612-8770-4Springer-Verlag New York, Inc. 1991
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Richard L. Haedrich,Nigel R. MerrettIn this chapter we construct an analogue of the matrix perturbation theory for systems of the form . where . ., or, in vector notation, ..
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