Let AA and~ AA~ be linear operators on a Banach space having compact resolvents, and let
λk (A) λk (A) and λk (~ A)(k= 1, 2,…) λk (A~)(k= 1, 2,…) be the eigenvalues taken with their …

Let A and S be compact operators in a Hilbert space, and S be selfadjoint. Under certain
conditions we derive bounds for the quantities sup k inf j| Re λ k (A)-λ j (S)| and sup k inf j| Im …

Let A be a bounded linear operator in a complex separable Hilbert space ℌ, and S be a
selfadjoint operator in ℌ. Assuming that A− S belongs to the Schattenvon Neumann ideal S …

In this work, we give theoretical and numerical analyses for local bifurcations of 2D
spatiotemporal discrete systems of the form xm+ 1, n+ 1= f (xm, n, xm+ 1, n), where f is a real …

This paper deals with stability and local bifurcations of two-dimensional (2D) spatiotemporal
discrete systems. Necessary and sufficient conditions for asymptotic stability of the systems …

Let A and A be bounded operators in a Hilbert space. We consider the following problem: let
the spectrum of A lie in some strip. In what strip the spectrum of A lies if A and A are “close” …