In this work we obtain theoretical results on continuity of selected pullback attractors for a generalized process and consider the when system is asymptotically autonomous. As an example, apply theory nonautonomous problem with reaction diffusion equations dynamical boundary conditions, after that, some additional hypotheses family problems converging to autonomous limit show convergence their...

Let X be a projective manifold, ρ : X̃ → X its universal covering and ρ∗ : V ect(X) → V ect(X̃) the pullback map for isomorphism classes of vector bundles. This article makes the connection between the properties of the pullback map ρ∗ and the properties of the function theory on X̃. Our approach motivates a weakened version of the Shafarevich conjecture: the universal covering X̃ of a projective m...

and Applied Analysis 3 The content of the paper is as follows. In Section 2, for the convenience of the reader, we recall some concepts and results on function spaces and pullback attractors which we will use. In Section 3, we prove the existence of pullback attractors in the spaces S0 Ω and L2p−2 Ω by using the asymptotic a priori estimate method. In Section 4, under additional assumptions of ...

This paper studies a fuzzy graph rewriting with single pushout approach from a viewpoint of fuzzy relational calculus. Two possible kinds of matchings for fuzzy graph rewritings are given, namely, a rigorous matching which just generalizes matchings for crisp (or ordinary) graph rewritings, and an "-matching which represents rather ambiguous or fuzzy one. Finally the pullback structure of fuzzy...

in this paper, we presented algebroids and crossed modules of algebroids. we also presented pullback crossed module of algebroids and we then define pushout crossed modules of algebroids.