ON THE EXISTENCE OF PERIODIC SOLUTIONS OF NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS.

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Abstract

The differential equations x double prime plus f(t,x,x prime ) equals 0 and x double prime plus f(t,x) equals 0 are considered. Under certain conditions imposed on the functions involved, the existence of periodic solutions is established.

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Mehri, B., & Hamedani, G. G. (1975). ON THE EXISTENCE OF PERIODIC SOLUTIONS OF NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS. SIAM Journal on Applied Mathematics, 29(1), 72–76. https://doi.org/10.1137/0129007

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