Details

Autor(en) / Beteiligte

• Zhou, Yong
• Zhang, Lu

Titel

Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems

Ist Teil von

• Computers & mathematics with applications (1987), 2017-03, Vol.73 (6), p.1325-1345

Ort / Verlag

Oxford: Elsevier Ltd

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, by the critical point theory, we consider the existence and multiplicity of solutions for the following fractional differential equation tD∞α(−∞Dtαu(t))+L(t)u(t)=∇W(t,u(t)),t∈R, where α∈(12,1], −∞Dtα and tD∞α are left and right Liouville–Weyl fractional derivatives of order α on the whole axis R respectively, u∈Rn, L(t) is positive definite symmetric matrix for all t∈R and W:R×Rn→R is a suitably chosen function.