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MR2746485 34C37 (37J45 47J30 58E05)
Wan, Li-Li; Tang, Chun-Lei Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without (AR) condition. Discrete Contin. Dyn. Syst. Ser. B 15 (2011), no. 1, 255–271.
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