Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

By Juntao Sun, Haibo Chen, J. J. Nieto. 2011

76 citations recorded by the source corpus.

In this paper, we study the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. By using the variant fountain theorem, we obtain a new criterion for guaranteeing that second-order Hamiltonian systems has infinitely many homoclinic solutions. Recent results from the literature are generalized and significantly improved. An example is also given in this paper to illustrate our main results.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2c16bf98c19d7390bb28be57fb9309ae0e8d423a

Citations in the corpus

• Existence and multiplicity of homoclinic solutions for a class of damped vibration problems (2011, unknown): “1), (for example, see [1–15]).”