Results 31 to 40 of about 1,154 (174)
, 2011 Weak limits as the density tends to infinity of classical ground states of integrable pair potentials are shown to minimize the mean-field energy functional.
A. Hof +43 more
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Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap
, 2003 Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle excitations spectrum,
A Verbeure +20 more
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Annals of Pure and Applied Logic, 1986 This paper is an important contribution to the theory of stable groups. Powerful use is made of Lascar's U-rank, enabling new results as well as generalizations of the finite rank theory to be proved for arbitrary superstable groups. From now on let G denote a (saturated) superstable group (possibly with additional structure). A fundamental observation
Berline, Ch., Lascar, D.
openaire +2 more sources
Approximate Homomorphisms of Ternary Semigroups
, 2005 A mapping $f:(G_1,[ ]_1)\to (G_2,[ ]_2)$ between ternary semigroups will be called a ternary homomorphism if $f([xyz]_1)=[f(x)f(y)f(z)]_2$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of mappings of commutative semigroups into ...
A. Cayley +22 more
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Superstability and Stability of the Pexiderized Multiplicative Functional Equation
Journal of Inequalities and Applications, 2010 We obtain the superstability of the Pexiderized multiplicative functional equation f(xy)=g(x)h(y) and investigate the stability of this equation in the following form: 1/(1+ψ(x,y))≤f(xy)/g(x)h(y)≤1+ψ(x,y).
Young Whan Lee
doaj +2 more sources
Nano Select, Volume 7, Issue 2, February 2026.Antibacterial micro/nanorobots (MNRs) represent a breakthrough in antibacterial therapy, making precise delivery of drugs to the infection site. This review systematically summarizes the material composition, actuation, and applications of MNRs in combating biofilms and drug‐resistant infections while emphasizing the existing challenges of ...
Yichao Chen +4 more
wiley +1 more source
Approximate Cubic ∗-Derivations on Banach ∗-Algebras
Abstract and Applied Analysis, 2012 We study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.
Seo Yoon Yang +2 more
doaj +1 more source
On the Design of Superstable Prestressed Frameworks
Frontiers in Materials, 2019 The strength and stiffness of prestressed lattices, and their mechanical behavior, depend strongly on the underlying graph and the nodal conformation geometry.
Scott D. Kelly +2 more
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On Asymptotic Behavior of a 2-Linear Functional Equation
Mathematics, 2022 In this paper, we deal with a 2-linear functional equation. The Hyers-Ulam stability of this functional equation is shown on some restricted unbounded domains, and the obtained results are applied to get several hyperstability consequences.
Jae-Hyeong Bae +3 more
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Bogolyubov approximation for diagonal model of an interacting Bose gas
, 2007 We study, using the Bogolyubov approximation, the thermodynamic behaviour of a superstable Bose system whose energy operator in the second-quantized form contains a nonlinear expression in the occupation numbers operators. We prove that for all values of
Bernal +13 more
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