Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Application of a lemma on bilinear forms to a problem in nonlinear oscillations
HTML articles powered by AMS MathViewer

by A. C. Lazer PDF
Proc. Amer. Math. Soc. 33 (1972), 89-94 Request permission

Abstract:

In this note we give a simple condition for nondegeneracy of symmetric bilinear forms on infinite dimensional vector spaces. We apply this condition and elementary properties of Fourier series to prove a uniqueness theorem for periodic solutions of a class of second order nonlinear differential systems.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34C15
  • Retrieve articles in all journals with MSC: 34C15
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 89-94
  • MSC: Primary 34C15
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0293179-9
  • MathSciNet review: 0293179