In this paper, we study the existence of infinitely many solutions for a class of second-order
impulsive Hamiltonian systems. By using the variational methods, we give some new criteria …

Recently a criterion has been given for determining the weakly formal Weierstrass non-
integrability of polynomial differential systems in c2. Here we extend this criterion for …

In this paper, we study the existence of infinitely many homoclinic solutions for a class of
second order Hamiltonian systems ü− L (t) u+ Wu (t, u)= 0,∀ t∈ R, where L (t) is …

In this paper, we deal with the existence of infinitely many homoclinic solutions for a class of
second-order Hamiltonian systems. By using the dual fountain theorem, we give some new …

Under some local conditions on W (t, u), the existence of homoclinic solutions is obtained for
the nonperiodic second-order Hamiltonian systems ü (t)− L (t) u (t)+∇ W (t, u (t))= f (t) as a …

In this paper we are concerned with the existence of homoclinic solutions for the following
second order non-autonomous Hamiltonian systems HS ̈ qL (t) q+ W_ q (t, q)= 0, where …

In this paper, by using some different asymptotically linear conditions from those previously
used in Hamiltonian systems, we obtain the existence of nontrivial homoclinic orbits for a …

In this paper, we investigate the existence of infinitely many homoclinic solutions for a class
of second order Hamiltonian systems. By using fountain theorem due to Zou, we obtain two …

Homoclinic solutions for a class of second order Hamiltonian systems Page 1 Math. Nachr.
288, No. 8–9, 1073–1081 (2015) / DOI 10.1002/mana.201200293 Homoclinic solutions for a …

Consider the following damped vibration system ̈ u (t)+ q (t) ̇ u (t)-L (t) u (t)+ ∇ W (t, u (t))=
0,\forall t ∈ R\qquad\qquad (1) u¨(t)+ q (t) u˙(t)-L (t) u (t)+∇ W (t, u (t))= 0,∀ t∈ R (1) where q …