摘要
ＡＨＯＭＯＣＬＩＮＩＣＯＲＢＩＴＦＯＲＬＡＧＲＡＮＧＩＡＮＳＹＳＴＥＭＳＷＵＳｈａｏｐｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｊｉａｎｇＵｎｉｖｅｒｓｉｔｙ，Ｈａｎｇｚｈｏｕ３１００２７，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｗｅｐｒｏ...
We prove the existence of a homoclinic orbit for Lagrangian system (LS) where the Lagrallgian . A similar argument to Rabinowitz[5] is used, where aij (x) is an identity matrix. Now the differential equation is quasilinear and more estimates are needed to get the uniform bound for the second derivative of periodic sequence {xk(t)} with period 2kT.
