Abstract
For a class of second-order discrete Hamiltonian systems Δ2x(t-1)-L(t)x(t)+Vx′(t,x(t))=0, we investigate the existence of homoclinic orbits by applying variational method, where L and V(·,x) are periodic functions. Further, we show that there exist either uncountable many homoclinic orbits or multibump solutions under certain conditions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.