Displaying similar documents to “Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field.”

On the inverse stability of functional equations

Zenon Moszner (2013)

Banach Center Publications


The inverse stability of functional equations is considered, i.e. when the function, approximating a solution of the equation, is an approximate solution of this equation.

Local analysis of hybrid systems on polyhedral sets with state-dependent switching

John Leth, Rafael Wisniewski (2014)

International Journal of Applied Mathematics and Computer Science


This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods...

On the Stability of Orthogonal Additivity

Włodzimierz Fechner, Justyna Sikorska (2010)

Bulletin of the Polish Academy of Sciences. Mathematics


We deal with the stability of the orthogonal additivity equation, presenting a new approach to the proof of a 1995 result of R, Ger and the second author. We sharpen the estimate obtained there. Moreover, we work in more general settings, providing an axiomatic framework which covers much more cases than considered before by other authors.