Research
Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth
Author affiliations
Department of Mathematics, Hunan University of Science and Engineering, Yongzhou, Hunan, 425100, People’s Republic of China
Citation and License
Boundary Value Problems 2012, 2012:132 doi:10.1186/1687-2770-2012-132
Published: 13 November 2012Abstract
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.
