In this paper, we consider the system where A(λ) is a linear transformation on Rn for each λ, α (λ,x) is an operator from R × Rn to Rn and λ is a real parameter. We examine large periodic solutions and drop ...In this paper, we consider the system where A(λ) is a linear transformation on Rn for each λ, α (λ,x) is an operator from R × Rn to Rn and λ is a real parameter. We examine large periodic solutions and drop the assumption of continuity of a(λ,x) near the origin. We consider what happens if a pair of eigenvalues of the linear part of the right hand side in (0. 1) crosses the imaginary axis for large where denotes the norm in Rn.展开更多
文摘In this paper, we consider the system where A(λ) is a linear transformation on Rn for each λ, α (λ,x) is an operator from R × Rn to Rn and λ is a real parameter. We examine large periodic solutions and drop the assumption of continuity of a(λ,x) near the origin. We consider what happens if a pair of eigenvalues of the linear part of the right hand side in (0. 1) crosses the imaginary axis for large where denotes the norm in Rn.
