in this paper boundedness and compactness of generalized composition oper-ators from logarithmic bloch type spaces to q_k type spaces are investigated.

Robust stability results for nominally linear hybrid systems are obtained from total stability theorems for purely continuous-time and discrete-time systems by using the powerful tool of fixed point theory. The class of hybrid systems dealt consists, in general, of coupled continuous-time and digital systems subject to state perturbations whose nominal i.e., unperturbed parts are linear and, in...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t For a class of drift–diffusion systems Kurokiba et al. The uniform boundedness and threshold for the global ...

We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. considered case strong dissipativity then prove that result remains weak dissipativity. conclude global and ensure boundedness its fractal dimension.

In this paper, we aim to obtain Massera type theorems for both linear and nonlinear dynamic equations by using a generalized periodicity notion, namely (T, ?)-periodicity, on time scales. To achieve task, first define new boundedness concept so-called ?-boundedness, then establish linkage between the existence of ?-bounded solutions ?)-periodic in cases. our analysis, assume that scale T is per...

In this paper, a new definition of bounded fuzzy linear orderhomomorphism on $I$-topological vector spaces is introduced. Thisdefinition differs from the definition of Fang [The continuity offuzzy linear order-homomorphism. J. Fuzzy Math. {bf5}textbf{(4)}(1997), 829--838]. We show that the ``boundedness"and `` boundedness on each layer" of fuzzy linear orderhomomorphisms do not imply each other...

A new definition of boundedness of linear order-homomorphisms (LOH)in $L$-topological vector spaces is proposed. The new definition iscompared with the previous one given by Fang [The continuity offuzzy linear order-homomorphism, J. Fuzzy Math. 5 (4) (1997)829$-$838]. In addition, the relationship between boundedness andcontinuity of LOHs is discussed. Finally, a new uniform boundednessprincipl...

The problem This paper deals with the property of boundedness in rule languages. Boundedness is an important notion that formalizes the fact that a rule set Σ can be unfolded into a finite set Σ of acyclic (i.e., non-recursive) rules such that Σ and Σ are equivalent on every database: it is therefore a crucial property for optimizing the processing of rules. Such a property has been extensively...