摘要用极小作用原理得到了一类非自治Lagrange系统周期解的一个存在性定理Gained a theorem about existent periodic solutions of some non-autonomous Lagrange systems with minimal action principle.
5[1]Capozzi A,Fortunato D,Salvatore A.Periodic Solutionsof Lagrangian Systems with Bounded Potential[J].J Math Anal Appl,1987,124(2):482-494.
6[2]Mawhin J,Willem M.Critical Point theory and Hamiltonian Systems[M].New York:Springer-Verlag,1989.
7[14]Tang Chun-Lei,Wu Xing-Ping.Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential[J].J Math Anal Appl,2001,259(2):386-397.
8[15]Berger M S,Schechter M.On the Solvability of Semi-Linear Gradient Operator Equations[J].Adv Math,1977,25:97-132.
9[16]Tang Chun-Lei.Periodic Solutions of Nonautonomous Second Order Systems[J].J Math Anal Appl,1996,202(2):465-469.
10[17]Brezis H,Nirenberg L.Remarks on Finding Critical Points[J].Comm Pure Appl Math,1991,44:939 -963.