Application of a lemma on bilinear forms to a problem in nonlinear oscillations
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- 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
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- A. C. Lazer and D. A. Sánchez, On periodically perturbed conservative systems, Michigan Math. J. 16 (1969), 193–200. MR 245906
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