학술저널
MULTIPLICITY RESULTS FOR THE PERIODIC SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 2
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2006.061 - 11 (11 pages)
- 0
We investigate the multiplicity of 2π−periodic solutions of the nonlinear Hamiltonian system with almost polynomial and exponential po- tentials, ˙z = J(G 0 (z) + h(t)), where z : R → R 2n , ˙z = dz dt , J = 0 −I I 0 I is the identity matrix on R n , H : R 2n → R, and H z is the gradient of H. We look for the weak solutions z = (p, q) ∈ E of the nonlinear Hamiltonian system.
1. Introduction
2. SPACES INVARIANT UNDER A, G, AND SHIFTS
3. PROOF OF THEOREM 1.1
4. PROOF OF THEOREM 1.2
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