On second order periodic boundary-value problems with upper and lower solutions in the reversed order
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In this paper, we study the differential equation with the periodic boundary value
u″(t) = ƒ(t, u(t), u′(t)), t ∈ [0, 2π]
u(0) = u(2π), u′(0) = u′(2π).
The existence of solutions to the periodic boundary above with appropriate conditions is proved by using an upper and lower solution method.
CitationGao, H., Weng, S., Jiang, D., & Hou, X. (2006). On second order periodic boundary-value problems with upper and lower solutions in the reversed order. Electronic Journal of Differential Equations, 2006(25), pp. 1-8.
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