Infinitely many homoclinic solutions for a class of subquadratic Hamiltonian systems.

摘要

Consider the second order Hamiltonian system: q? - L(t)q + ?V (t, q) = 0, (HS) where V (t,x) = a(t)W(x). New results concerning the existence and the multiplicity of homoclinic solutions to (HS) are obtained in the case where W is of subquadratic growth as |x| → +∞ and the matrix L(t) is positive definite for all t ∈ □ without any assumption of periodicity on the potential. [ABSTRACT FROM AUTHOR]