Results 71 to 80 of about 1,545 (199)
Superstable geometry in triadic percolation
Triadic percolation turns bond percolation into a dynamical problem governed by an effective one-dimensional unimodal map. We show that the geometry of superstable cycles provides a direct, map-agnostic probe of local nonlinearity: specifically, the distance from the map's maximum to a distinguished next-to-maximum point on the ...
Fatemeh Aghaei +3 more
openaire +3 more sources
Approximate *-derivations and approximate quadratic *-derivations on
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
doaj
Superstability of Pexiderized functional equations arising from distance measures
In this paper, we obtain the superstability of the functional equation f(pr, qs) + g(ps, qr) = θ(pq, rs)h(p, q)k(r, s) for all p, q, r, s ∈ G, where G is an Abelian group, f, g, h, k are functionals on G2, and θ is a cocycle on G2.
G. Kim, Young Whan Lee
semanticscholar +1 more source
We designed Fe(Cd)–CNx catalysts composed of Fe single atoms and adjacent Fe clusters. The interaction between Fe clusters and satellite FeN4 sites drives the catalyst to exhibit ultrahigh ORR activity and durability in acidic and basic media. Zinc–air cells in a liquid or flexible solid state with Fe(Cd)–CNx as the cathode exhibit high power density ...
Tingyi Zhou +11 more
wiley +1 more source
On the Stability of Trigonometric Functional Equations
The aim of this paper is to study the superstability related to the d'Alembert, the Wilson, the sine functional equations for the trigonometric functional equations as follows: f(x+y)−f(x−y)=2f(x)g(y),f(x+y)−f(x−y)=2g(x)f(y).
Gwang Hui Kim
doaj +1 more source
Abstract A growing body of literature recognizes that pairwise species interactions are not necessarily an appropriate metaphorical molecule of community ecology. Two examples are intransitive competition and nonlinear higher‐order effects. While these two processes have been discussed extensively, the explicit analysis of how the two of them behave ...
John Vandermeer, Ivette Perfecto
wiley +1 more source
New insights into suspended drops: When soft matter meets acoustic levitation
We reviewed the new advances of acoustic levitation as well as the most classic literatures in soft matter field. We focused on the fundamental researches in this field using this technique, and discussed the unique physics/chemical processes involved in the acoustically levitated drops.
Hongyue Chen, Zhenyu Hong, Duyang Zang
wiley +1 more source
Approximately Ternary Homomorphisms and Derivations on C∗-Ternary Algebras
We investigate the stability and superstability of ternary homomorphisms between C*-ternary algebras and derivations on C*-ternary algebras, associated with the following functional equation f((x2-x1)/3)+f((x1-3x3)/3)+f((3x1+3x3-x2)/3)=f(x1).
M. Eshaghi Gordji +4 more
doaj +1 more source
On the Superstability of Lobačevskiǐ’s Functional Equations with Involution
Let be a uniquely -divisible commutative group and let and be an involution. In this paper, generalizing the superstability of Lobacevskiǐ’s functional equation, we consider or for all , where . As a direct consequence, we find a weaker condition for the
Jaeyoung Chung, Bogeun Lee, M. Ha
semanticscholar +1 more source
On Stability of a Functional Equation Connected with the Reynolds Operator
Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℠or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K.
Adam Najdecki
doaj +1 more source

