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Titlebook: Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients; Yu A. Mitropolsky,A. M. Samoilenko,D. I. Martinyuk Book 1993

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发表于 2025-3-21 18:32:22 | 显示全部楼层 |阅读模式
书目名称Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients
编辑Yu A. Mitropolsky,A. M. Samoilenko,D. I. Martinyuk
视频video
丛书名称Mathematics and its Applications
图书封面Titlebook: Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients;  Yu A. Mitropolsky,A. M. Samoilenko,D. I. Martinyuk Book 1993
描述Many problems in celestial mechanics, physics and engineeringinvolve the study of oscillating systems governed by nonlinearordinary differential equations or partial differential equations.This volume represents an important contribution to the availablemethods of solution for such systems. .The contents are divided into six chapters. Chapter 1 presents a studyof periodic solutions for nonlinear systems of evolution equationsincluding differential equations with lag, systems of neutral type,various classes of nonlinear systems of integro-differentialequations, etc. A numerical-analytic method for the investigation ofperiodic solutions of these evolution equations is presented. InChapters 2 and 3, problems concerning the existence of periodic andquasiperiodic solutions for systems with lag are examined. For anonlinear system with quasiperiodic coefficients and lag, theconditions under which quasiperiodic solutions exist are established.Chapter 4 is devoted to the study of invariant toroidal manifolds forvarious classes of systems of differential equations withquasiperiodic coefficients. Chapter 5 examines the problem concerningthe reducibility of a linear system of difference equati
出版日期Book 1993
关键词difference equation; differential equation; ordinary differential equation; partial differential equati
版次1
doihttps://doi.org/10.1007/978-94-011-2728-8
isbn_softcover978-94-010-5210-8
isbn_ebook978-94-011-2728-8Series ISSN 0169-6378
issn_series 0169-6378
copyrightKluwer Academic Publishers 1993
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发表于 2025-3-21 23:12:30 | 显示全部楼层
Book 1993ions or partial differential equations.This volume represents an important contribution to the availablemethods of solution for such systems. .The contents are divided into six chapters. Chapter 1 presents a studyof periodic solutions for nonlinear systems of evolution equationsincluding differentia
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,Quasiperiodic Solutions of Systems with Lag. Bubnov-Galerkin’s Method,1,...,., with period 2π,ie.,.(ϕ+2π.)=.(ϕ) for all integer . except zero, .=(..,.....,... A norm for these functions is defined by. where ∥·∥ denotes, as before, the standard Euclidean norm. The set of all continous 2π-periodic functions with norm (1.1) forms a complete normed space ..
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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients978-94-011-2728-8Series ISSN 0169-6378
发表于 2025-3-23 00:50:23 | 显示全部楼层
,Investigation of Periodic Solutions of Systems with Aftereffect by Bubnovgalerkin’s Method,Consider a system of differential equations.(1.1)where .=(..,.....,.. is an .-dimensional vector ..(.(.)) is an .-dimensional vector function periodic in . with period 2π and Δ is a constant.
发表于 2025-3-23 02:14:24 | 显示全部楼层
Existence of Invariant Toroidal Manifolds for Systems with Lag. Investigation of The Behavior of TrIn this chapter, we present results obtained in the investigation of invariant manifolds for different types of nonlinear systems with lag. The results concerning the behavior of these systems in the vicinity of these manifolds are also presented here.
发表于 2025-3-23 09:26:45 | 显示全部楼层
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