Results 131 to 140 of about 107,297 (248)

A steady-state stability analysis of uniform synchronous power grid topologies [PDF]

open access: yesarXiv, 2019
Motter et al. derived a real-valued master stability function which determines whether and to what degree a given power grid is asymptotically stable. Stright and Edrington adopted certain uniformity assumptions on a grid's components and demonstrated how differences in topologies obtained using these components can affect the stabilities of the ...
arxiv  

The properties of functional inclusions and Hyers–Ulam stability [PDF]

open access: yesAequationes mathematicae, 2012
We prove that a set-valued function satisfying some functional inclusions admits, in appropriate conditions, a unique selection satisfying the corresponding functional equation. As a consequence we obtain the result on the Hyers–Ulam stability of that functional equation.
openaire   +2 more sources

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

open access: yesOpen Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela   +2 more
doaj   +1 more source

Stability conditions on blowups [PDF]

open access: yesarXiv
We study the relation between perverse stability conditions and geometric stability conditions under blow up. We confirm a conjecture of Toda in some special cases and show that geometric stability conditions can be induced from perverse stability conditions from semiorthogonal decompositions associated to blowups.
arxiv  

Hyers–Ulam–Rassias stability of a linear recurrence

open access: yesJournal of Mathematical Analysis and Applications, 2005
AbstractIn this paper we give a Hyers–Ulam–Rassias stability result for the first order linear recurrence in Banach spaces.
openaire   +2 more sources

On the Stability of Nonautonomous Linear Impulsive Differential Equations

open access: yesJournal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

On the Stability of a Cubic Functional Equation in Random Normed Spaces

open access: yesJournal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

Spaces of stability conditions [PDF]

open access: yesarXiv, 2006
Stability conditions are a mathematical way to understand $\Pi$-stability for D-branes in string theory. Spaces of stability conditions seem to be related to moduli spaces of conformal field theories. This is a survey article describing what is currently known about spaces of stability conditions, and giving some pointers for future research.
arxiv  

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