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Application of a lemma on bilinear forms to a problem in nonlinear oscillations. (English) Zbl 0257.34041


MSC:

34C25 Periodic solutions to ordinary differential equations
15A63 Quadratic and bilinear forms, inner products
70K99 Nonlinear dynamics in mechanics
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References:

[1] C. L. Dolph, Nonlinear integral equations of the Hammerstein type, Trans. Amer. Math. Soc. 66 (1949), 289 – 307. · Zbl 0036.20202
[2] Sze-tsen Hu, Elements of modern algebra, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. · Zbl 0187.00701
[3] Serge Lang, Algebra, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965. · Zbl 0193.34701
[4] -, Analysis. II, Addison-Wesley, Reading, Mass., 1969.
[5] A. C. Lazer and D. A. Sánchez, On periodically perturbed conservative systems, Michigan Math. J. 16 (1969), 193 – 200. · Zbl 0187.34501
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