Results 11 to 20 of about 32 (32)

Homoclinic solutions of second-order discrete Hamiltonian systems with subquadratic nonlinearities

Open Mathematics
This paper investigates the second-order discrete Hamiltonian system Δ[P(k)Δu(k−1)]−L(k)u(k)+∇W(k,u(k))=0 ${\Delta}\left[\mathbb{P}\left(k\right){\Delta}u\left(k-1\right)\right]-\mathbb{L}\left(k\right)u\left(k\right)+\nabla \mathbb{W}\left(k,u\left(k ...
Liu Ziqiang, Xiao Ke, Chen Huiwen, Ouyang Zigen   +3 more
doaj   +1 more source

Two homoclinic solutions of anonperiodic fourth-order impulsive differential equation

, 2019
In this paper, we are concerned with a kind of nonperiodic fourth-order impulsive differential equation. By applying the mountain pass theorem, we shall establish several new criteria for the existence of at least two nontrivial homoclinic solutions of ...
Kong, Fanchao
core  

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