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Infinite Subharmonic Solutions of the Forced Relativistic Oscillators

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Document pages: 15 pages

Abstract: In this paper, we study the multiplicity of subharmonic solutions of the nonlinear differential equation of the forced relativistic oscillators. By using the generalized Poincaré-Birkhoff fixed point theorem, we prove that the equation has infinite subharmonic solutions provided that g satisfies at most linear growth condition.

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