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Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
A. C. Lazer
Proceedings of the American Mathematical Society
Vol. 33, No. 1 (May, 1972), pp. 89-94
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2038176
Page Count: 6
You can always find the topics here!Topics: Mathematical theorems, Vector spaces, Fourier series, Differential equations, Existence theorems, Algebra, Sine function
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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.
Proceedings of the American Mathematical Society © 1972 American Mathematical Society