THE ITALIAN CONTRIBUTION TO THE THEORY OF NON-LINEAR ORDINARY DIFFERENTIAL
EQUATIONS AND TO NON-LINEAR MACHANICS DURING THE YEARS 1951-1961
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Introductory notes |
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1 - AUTONOMOUS SYSTEMS |
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1.1 - Two-dimensional systems |
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1.2 - Free oscillations with non-linear damping and linear restoring force |
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1.3 - Liénard's equation and its generalizations |
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1.4 - Approximate methodsin the study of autonomous systems |
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2 - NON-AUTONOMOUS SYSTEMS |
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2.1 - Boundedness of solutions |
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2.2 - Existence of periodic and almost-periodic solutions |
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2.3 - Dini's equation |
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2.4 - The problem of orbits in a synchrotron |
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2.5 - Further studies on non-linear systems |
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2.6 - Studies on mechanical and electrical systems with two or more degrees
of freedom |
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2.7 - Asymptotic equivalence |
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2.8 - List of results on the asymptotic behaviour of solutions in the
linear case |
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Bibliographical notes |
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APPENDIX: |
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The Authors: Three biobibliographical sketches |