Article ID Journal Published Year Pages File Type
837556 Nonlinear Analysis: Real World Applications 2013 8 Pages PDF
Abstract

We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions. We get a theorem which shows the existence of at least three 2π2π-periodic solutions for the asymptotically linear Hamiltonian system. We obtain this result by the variational reduction method which reduces the infinite dimensional problem to the finite dimensional one. We also use the critical point theory and the variational method.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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