MULTIPLICITY RESULTS FOR THE PERIODIC SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEMS

• 발행기관: 충청수학회
• 저자명: Tacksun Jung Q-Heung Choi
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 2, 1~11쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2006.06.30

영문 초록

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.

목차

1. Introduction

2. SPACES INVARIANT UNDER A, G, AND SHIFTS

3. PROOF OF THEOREM 1.1

4. PROOF OF THEOREM 1.2