Results 31 to 40 of about 764,891 (332)
Nonlocal Conduction in a Metawire. [PDF]
Adv MaterA 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA +3 more
europepmc +2 more sources
On a fractional differential equation with infinitely many solutions [PDF]
, 2012 We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Băleanu, Dumitru +2 more
core +2 more sources
On Existence of Infinitely Many Homoclinic Solutions
Monatshefte f�r Mathematik, 2000 In this note we prove some sufficient condition for the existence of homoclinic solutions in nonautonomous ODE’s. As an application we show that there exist infinitely many (geometrically distinct) homoclinic solutions to the trivial 0 solution in the planar system $$$$
Wójcik, Klaudiusz, Zgliczyński, Piotr
openaire +3 more sources
Infinitely Many Elliptic Solutions to a Simple Equation and Applications [PDF]
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems. First, we give some nonlinear iterated formulae of solutions and some elliptic function solutions to a simple auxiliary equation, which results in infinitely many ...
Long Wei, Yang Wang
openaire +4 more sources
Infinitely many solutions for a mixed boundary value problem [PDF]
Annales Polonici Mathematici, 2010 The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
BONANNO, Gabriele, E. Tornatore
openaire +3 more sources
Infinitely many positive solutions for a nonlocal problem with competing potentials
Boundary Value Problems, 2020 The present paper deals with a class of nonlocal problems. Under some suitable assumptions on the decay rate of the coefficients, we derive the existence of infinitely many positive solutions to the problem by applying reduction method.
Jing Yang
doaj +1 more source
Integrable subsystem of Yang--Mills dilaton theory [PDF]
, 2007 With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton.
A Wereszczyński +7 more
core +2 more sources
Infinitely many solutions for a perturbed Schrödinger equation
Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015 We find multiple solutions for a nonlinear perturbed Schrodinger equation by means of the so--called Bolle's method.
BARTOLO, Rossella +2 more
openaire +4 more sources
Infinitely many solutions to perturbed elliptic equations
Journal of Functional Analysis, 2005 AbstractA new version of perturbation theory is developed which produces infinitely many sign-changing critical points for uneven functionals. The abstract result is applied to the following elliptic equations with a Hardy potential and a perturbation from symmetry:-Δu-μu|x|2=f(x,u)+p(x,u) in Ω,u=0 on ∂Ωand-Δu=|u|q-2|x|su+p(x,u) in Ω,u=0 on ∂Ω,where ...
Wenming Zou, Martin Schechter
openaire +2 more sources
Infinitely many periodic solutions for ordinary p(t)-Laplacian differential systems
Electronic Research Archive, 2022 In this paper, we consider the existence of infinitely many periodic solutions for some ordinary p(t)-Laplacian differential systems by minimax methods in critical point theory.
Chungen Liu, Yuyou Zhong
doaj +1 more source