Results 111 to 120 of about 9,595 (205)

Normalized homoclinic solutions of discrete nonlocal double phase problems

open access: yesBulletin of Mathematical Sciences
The aim of this paper is to discuss the existence of normalized solutions to the following nonlocal double phase problems driving by the discrete fractional Laplacian: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] if [Formula: see text], [Formula: see text] if [Formula:
Mingqi Xiang, Yunfeng Ma, Miaomiao Yang
openaire   +3 more sources

Multibump solutions for an almost periodically forced singular Hamiltonian system

open access: yesElectronic Journal of Differential Equations, 1995
existence of so-called multibump homoclinic solutions for a family of singular Hamiltonian systems in $R^2$ which are subjected to almost periodic forcing in time.
Paul H. Rabinowitz
doaj  

Existence of homoclinic solutions for Hamiltonian systems

open access: yesAdvances in Differential Equations, 2002
Using variational methods, the existence of homoclinic solutions is shown for the Hamiltonian system \(Ju'(x)+Mu(x)-\nabla_uF(x,u(x))=\lambda u(x)\), where \(u : \mathbb{R}\to \mathbb{R}^{2N}\), \(J\), \(M\) are matrices such that \(J=-J^T=-J^{-1}\), \(M^T=M\) and \(F\) is a Carathéodory nonlinearity satisfying addition properties.
openaire   +3 more sources

Homoclinic orbit solutions of a one Dimensional Wilson-Cowan type model

open access: yesElectronic Journal of Differential Equations, 2008
We analyze a time independent integral equation defined on a spatially extended domain which arises in the modelling of neuronal networks. In this paper, the coupling function is oscillatory and the firing rate is a smooth "heaviside-like" function ...
Edward P. Krisner
doaj  

Homoclinic orbits at infinity for second-order Hamiltonian systems with fixed energy

open access: yesElectronic Journal of Differential Equations, 2015
We obtain the existence of homoclinic orbits at infinity for a class of second-order Hamiltonian systems with fixed energy. We use the limit for a sequence of approximate solutions which are obtained by variational methods.
Dong-Lun Wu, Shiqing Zhang
doaj  

Sequential buckling in fluid-filled cylindrical shells. [PDF]

open access: yesCommun Phys
Jain S   +4 more
europepmc   +1 more source

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