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Titlebook: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations; Lamberto Cesari Book 19591st edition Springer-Verlag Berlin

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发表于 2025-3-21 16:05:16 | 显示全部楼层 |阅读模式
期刊全称Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
影响因子2023Lamberto Cesari
视频video
学科分类Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
图书封面Titlebook: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations;  Lamberto Cesari Book 19591st edition Springer-Verlag Berlin
影响因子In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen­ ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto­ matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view­ points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to
Pindex Book 19591st edition
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发表于 2025-3-21 22:23:09 | 显示全部楼层
Interlude: Smooth Distributions of DefectsGiven a function .(.). ≧ .., of the real variable ., the most immediate information concerning its behavior as . + ∞ is certainly offered by the limit (if it exists) ..
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Asymptotic developments,Given a function .(.). ≧ .., of the real variable ., the most immediate information concerning its behavior as . + ∞ is certainly offered by the limit (if it exists) ..
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The Gaalop Precompiler for GPUs often denote .(....) as a” point “ or a” vector “ and . as the “ time “, and .. shall denote the space of the points .. Often (1.1.1) is obtained by a transformation of the . second order Lagrange equations relative to a mechanical system with . degrees of freedom, and thus .=2..
发表于 2025-3-22 16:22:36 | 显示全部楼层
Frames, Body Points, and Spacetime Structure ≧0, and where .(.) is a vector function of . and ., continuous for all . ≧ 0 and . ∈ ., where . is a neighborhood of . in E. . We shall also suppose .(., 0) = 0 for all . so that .= 0 is a trivial solution of system (6.1 .1).
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The Gaalop Precompiler for GPUs often denote .(....) as a” point “ or a” vector “ and . as the “ time “, and .. shall denote the space of the points .. Often (1.1.1) is obtained by a transformation of the . second order Lagrange equations relative to a mechanical system with . degrees of freedom, and thus .=2..
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