Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth
Department of Mathematics, Hunan University of Science and Engineering, Yongzhou, Hunan, 425100, People’s Republic of China
Boundary Value Problems 2012, 2012:132 doi:10.1186/1687-2770-2012-132Published: 13 November 2012
By properly constructing a functional and by using the critical point theory, we establish the existence of homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. Our result generalizes and improves some existing ones. An example is given to show that our theorem applies, while the existing results are not applicable.