KAM theory is one of the most important achievements about the solutions' stability of differential equations in twentieth century. It derives from the study of N-body problem. Now, it has been the important tool to study solutions' stability for differential equations. As a part of KAM theory, Moser's twist theorem is usually applied to prove the Lagrange stability of planar systems. Recently, after R.Ortega, Liu et al. extended Moser's twist theorem, the extended theorem can solve more problems on solutio...
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