Twenty years of ordinary differential equations through twelve Oberwolfach meetings
type: Item
instance of: scholarly article
title: Twenty years of ordinary differential equations through twelve Oberwolfach meetings
zbMATH Open document ID: 0756.01032
DOI: 10.1007/BF03323077
published in: Results in Mathematics
publication date: 1992-09-27T00:00:00Z
review text: After a short history of twelve conferences on Ordinary Differential Equations (ODE) in Oberwolfach 1968-1989 a survey is given on the main developments of this field during the corresponding period, as reflected in these meetings. Their organizing committees have only one intersection, H. W. Knobloch; this survey is dedicated to him on the occasion of his 65th birthday. Thirtheen topics are reviewed: Stability and control, Generalized DE (in abstract spaces), Upper and lower solutions and differential inequalities, Topological degree techniques, Integral manifolds and averaging method, Bifurcation and chaos, Periodic nonlinearities, Hamiltonian systems and Conley index, Sixtienth Hilbert problem and cycles of autonomous equations, Dynamical approach to PDE, Linear DE in \(\mathbb{R}\) and oscillation theory, ODE in the complex field, Approximation and numerical methods, Applications. For every topic the authors of contributions and years are indicated. Also the books and monographs, published during the period 1968-1989, are referred from the list including 160 items and giving a useful guide to the recent literature in ODE and their applications.
reviewed by: Ülo Lumiste
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 34-03
zbMATH DE Number: 62160
zbMATH Keywords: stability
zbMATH Keywords: control
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: differential inequalities
zbMATH Keywords: topological degree techniques
zbMATH Keywords: bifurcation and chaos
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: sixtienth Hilbert problem
zbMATH Keywords: oscillation theory
zbMATH Keywords: numerical methods
author: Jean Mawhin
MaRDI profile type: Publication
cites work: Q4744562
cites work: Continuous and discrete dynamics near manifolds of equilibria
cites work: Q5594821
cites work: Q4094029
cites work: New Directions in Dynamical Systems
cites work: Q4146134
cites work: Q5577544
cites work: An introduction to nonlinear boundary value problems
cites work: Local theory of nonlinear analytic ordinary differential equations
cites work: Q3036770
cites work: Q4164074
cites work: Applications of centre manifold theory
cites work: Q5617840
cites work: Q3749776
cites work: Nonlinear singular perturbation phenomena: theory and applications
cites work: Properties of infinite dimensional Hamiltonian systems
cites work: Q3948194
cites work: Q4180600
cites work: Integral manifolds and inertial manifolds for dissipative partial differential equations
cites work: Q4129103
cites work: Dichotomies in stability theory
cites work: Integral equations and stability of feedback systems
cites work: Q3866411
cites work: Q1188561
cites work: Ordinary differential equations in Banach spaces
cites work: Q5185568
cites work: Q3769642
cites work: Q3941926
cites work: Q4774804
cites work: Q3853988
cites work: Ergodic theory of chaos and strange attractors
cites work: Q4692985
cites work: Global bifurcation of periodic solutions with symmetry
cites work: Q4189096
cites work: Almost periodic differential equations
cites work: Q3895297
cites work: Coincidence degree, and nonlinear differential equations
cites work: Singularities and groups in bifurcation theory. Volume I
cites work: Asymptotic methods for relaxation oscillations and applications
cites work: Q3321372
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q4773532
cites work: Q5580482
cites work: Theory of functional differential equations. 2nd ed
cites work: Q3937669
cites work: Q4039920
cites work: Q4132178
cites work: Nonlinear evolution equations - global behavior of solutions
cites work: Geometric theory of semilinear parabolic equations
cites work: Q4112233
cites work: Q4067388
cites work: Q3992992
cites work: Q4195641
cites work: Q3886065
cites work: Q3917197
cites work: Spectral properties of Hamiltonian operators

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cites work: Q4199088

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cites work: Q4039962

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cites work: Q4769286

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cites work: Q5614828

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cites work: Q3894443

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cites work: Q5559761

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cites work: Stable and Random Motions in Dynamical Systems

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cites work: Q3891263

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cites work: Q4158861

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cites work: Q5642900

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cites work: Q3889814

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cites work: Q3997917

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cites work: Q3913687

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cites work: Q3749777

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cites work: Q4079957

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cites work: Q3871198

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cites work: Q3995079

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cites work: Q3993219

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cites work: Q3924560

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cites work: Q5665539

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cites work: Gewöhnliche Differentialgleichungen. Eine Einführung.

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cites work: Q4045911

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cites work: Q3690646

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cites work: Q4692840

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cites work: Q3798988

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Twenty years of ordinary differential equations through twelve Oberwolfach meetings (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf03323077

Twenty years of ordinary differential equations through twelve Oberwolfach meetings (OpenAlex ID)
OpenAlex ID: W1990394989