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A generalization of the Levinson-Massera’s equalities

Published online by Cambridge University Press:  22 January 2016

Kenichi Shiraiwa
Kenichi Shiraiwa*
Affiliation:
Department of Mathematics, College of General Education, Nagoya University
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In his study of non-linear differential equations of the second order, N. Levinson [3] defined the dissipative systems (D-systems) which arise in many important cases in practice. To a dissipative system a transformation T: R2 → R2 called the Poincaré transformation is associated. Levinson used the Poincaré transformation in the qualitative study of dissipative systems, and he [3] and Massera [5] obtained certain equalities between the number of subharmonic solutions of a dissipative systems under suitable conditions. We call these the Levinson-Massera’s equalities.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 67 , August 1977 , pp. 121 - 138
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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