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Fisica, Astrofisica e Metereologia

THE ITALIAN CONTRIBUTION TO THE THEORY OF NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS AND TO NON-LINEAR MACHANICS DURING THE YEARS 1951-1961

Indice


Indice


PAG.  
1 -
 
Introductory notes
         
         
    3 -   1 - AUTONOMOUS SYSTEMS
         
    3 -   1.1 - Two-dimensional systems
         
    3 -   1.2 - Free oscillations with non-linear damping and linear restoring force
         
    4 -   1.3 - Liénard's equation and its generalizations
         
    6 -   1.4 - Approximate methodsin the study of autonomous systems
         
         
    8 -   2 - NON-AUTONOMOUS SYSTEMS
         
    8 -   2.1 - Boundedness of solutions
         
    9 -   2.2 - Existence of periodic and almost-periodic solutions
         
    12 -   2.3 - Dini's equation
         
    12 -   2.4 - The problem of orbits in a synchrotron
         
    13 -   2.5 - Further studies on non-linear systems
         
    14 -   2.6 - Studies on mechanical and electrical systems with two or more degrees of freedom
         
    15 -   2.7 - Asymptotic equivalence
         
    17 -   2.8 - List of results on the asymptotic behaviour of solutions in the linear case
         
         
    19 -   Bibliographical notes
         
         
        APPENDIX:
    23 -   The Authors: Three biobibliographical sketches
 
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