Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects

2017 ◽  
Vol 102 ◽  
pp. 254-263 ◽  
Author(s):  
Nemat Nyamoradi ◽  
Rosana Rodríguez-López
Keyword(s):  
Hamiltonian Systems ◽  
Impulsive Effects ◽  
Multiplicity Of Solutions ◽  
Fractional Hamiltonian Systems

Multiplicity of Solutions for Fractional Hamiltonian Systems with Liouville-Weyl Fractional Derivatives

2015 ◽  
Vol 18 (4) ◽  
Author(s):  
G. Amado Mendez Cruz ◽  
César E. Torres Ledesma
Keyword(s):  
Critical Theory ◽  
Hamiltonian Systems ◽  
Fractional Derivatives ◽  
Infinitely Many Solutions ◽  
Multiplicity Of Solutions ◽  
Fractional Hamiltonian Systems

AbstractIn this paper, we investigate the existence of infinitely many solutions for the following fractional Hamiltonian systems:tDu ∈ Hwhere α ∈ (1/2, 1), t ∈ ℝ, u ∈ ℝm({t ∈ (y − rare satisfied and W is of subquadratic growth as |u| → +∞, we show that (0.1) possesses infinitely many solutions via the genus properties in the critical theory. Recent results in Z. Zhang and R. Yuan [24] are significantly improved.

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