Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems

• Published in: Acta mathematica Sinica. English series Vol. 21; no. 4; pp. 685 - 690
• Main Authors: Luan, Shi Xia, Mao, An Min
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.08.2005
• Subjects: Banach spaces; Decomposition; Eigenvalues; Existence theorems; Handles; Joining; Linking; Mathematical analysis; Mathematical problems; Mathematics; Nonlinearity; Studies; Theorems

In this paper, we develop the local linking theorem given by Li and Willem by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonomous second order Hamiltonian systems ü + A(t) u + V (t, u) = 0, u ^sup ^sup N^, ^sup...