Results 121 to 130 of about 8,918 (208)

Normalized homoclinic solutions of discrete nonlocal double phase problems

Bulletin 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

Homoclinic solution to zero of a non-autonomous, nonlinear, second order differential equation with quadratic growth on the derivative

Electronic Journal of Qualitative Theory of Differential Equations
This work aims to obtain a positive, smooth, even, and homoclinic to zero (i.e. zero at infinity) solution to a non-autonomous, second-order, nonlinear differential equation involving quadratic growth on the derivative.
Luiz Fernando Faria, Pablo Corrêa Junior   +1 more
doaj   +1 more source

Existence of homoclinic solutions for Hamiltonian systems

Advances 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

Interfering solutions of a nonhomogeneous Hamiltonian system

Electronic Journal of Differential Equations, 2001
A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at infinity . A minimax argument is used to show that the equation has a positive homoclinic solution.
Gregory S. Spradlin
doaj  

Multiple homoclinic solutions for indefinite second-order discrete Hamilton system with small perturbation

Electronic Journal of Differential Equations, 2015
In this article, we sutdy the multiplicity of homoclinic solutions to the perturbed second-order discrete Hamiltonian system $$ \Delta[p(n)\Delta u(n-1)]-L(n)u(n)+\nabla W(n,u(n))+\theta\nabla F(n,u(n))=0, $$ where L(n) and W(n,x) are neither ...
Liang Zhang, Xianhua Tang
doaj  

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

Commun Phys
Jain S, Box F, Quinn M, Johnson C, Pihler-Puzović D.   +4 more
europepmc   +1 more source

Wavelength Selection for Periodic Travelling Waves: An Unsolved Problem. [PDF]

Bull Math Biol
Eigentler L, Sensi M.
europepmc   +1 more source

Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]

Proc Natl Acad Sci U S A, 2023
Pinsky T.
europepmc   +1 more source

Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]

PLoS One
Beenish, Samreen M, Alshammari FS.
europepmc   +1 more source

On a Countable Sequence of Homoclinic Orbits Arising Near a Saddle-Center Point. [PDF]

Commun Math Phys
Baldomá I, Guardia M, Pelinovsky DE.
europepmc   +1 more source