Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities Original Research Article

In this paper we study the existence of homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities View the MathML sourceü−L(t)u+Wu(t,u)=0, where L(t)L(t) and W(t,u)W(t,u) are not assumed to be periodic in tt. We get, under certain assumptions on LL and WW, infinitely many homoclinic solutions for both subquadratic and superquadratic cases by using the fountain theorems in critical point theory.