RT Book,_Section
T1 Homoclinic solutions for fractional Hamiltonian systems via variational method
A1 Cabada Fernández, Alberto
A1 Tersian, Stepan
K1 Variational methods
K1 Homoclinic solutions
AB We study the multiplicity of weak nonzero solutions for fractional Hamiltonian systems of the form $$_{t}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha} u(t)) +L(t)u(t)=a(t)\nabla V(t,u(t)),\quad t\in \mathbb{R},$$ where $\alpha\in (1/2,1]$, $_{-\infty}D_{t}^{\alpha}$ and $_{t}D_{\infty}^{\alpha}$ are left and the right Liouville-Weyl fractional derivatives of order $\alpha$ on real line $\mathbb{R}$, $L(t)$ is a positive defined symmetric $n\times n$ matrix and $V:\mathbb{R}\times \mathbb{R}^n\to \mathbb{R}$ satisfies specific growth conditions. A result is proved using variational method and the generalized Clark's theorem. Some recent results are extended and improved.
PB AIP Publishing
SN 978-0-7354-1919-3
YR 2019
FD 2019-11-13
LK https://hdl.handle.net/10347/45450
UL https://hdl.handle.net/10347/45450
LA eng
NO Alberto Cabada, Stepan Tersian; Homoclinic solutions for fractional Hamiltonian systems via variational method. AIP Conf. Proc. 13 November 2019; 2172 (1): 050001.
DS Minerva
RD 28 abr 2026