This paper deals with the resolvent, asymptotic stability and boundedness of the solution of time-varying Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable. We generalize to a time scale some known properties about asymptotic behavior and boundedness from the continuous case. Some new results for the discrete case are obtained.

This paper is concerned with the stochastic finite-time stability and stochastic finite-time boundedness problems for one family of fuzzy discrete-time systems over networks with packet dropout, parametric uncertainties, and time-varying norm-bounded disturbance. Firstly, we present the dynamic model description studied, in which the discrete-time fuzzy T-S systems with packet loss can be descr...

Our main result is a strong boundedness result for the class of separable Rosenthal compacta (that is, separable compact subsets of the first Baire class – see [ADK] and [Ro2]) on the Cantor set having a uniformly bounded dense sequence of continuous functions. We shall denote this class by SRC. The phenomenon of strong boundedness, which was first touched by A. S. Kechris and W. H. Woodin in [...

Usual global convergence results for sequential quadratic programming (SQP) algorithms with linesearch rely on some a priori assumptions about the generated sequences, such as boundedness of the primal sequence and/or of the dual sequence and/or of the sequence of values of a penalty function used in the linesearch procedure. Different convergence statements use different combinations of assump...

in this paper, we consider the boundedness of the libera operator on dirichlet spaces in terms of the schur test. moreover, we get its point spectrum and norm.

In this lecture we will consider a general loss function and a general regression model where Y is not necessarily a binary variable. For the binary classification problem, we then used the followings: • Hoeffding’s inequality: it requires boundedness of the loss functions. • Bounded difference inequality: again it requires boundedness of the loss functions. • VC theory: it requires binary natu...

The main purpose of this paper is to prove some results of uniform boundedness principle type without the use of Baire’s category theorem in certain topological vector spaces; this provides an alternate route and important technique to establish certain basic results of functional analysis. As applications, among other results, versions of the Banach-Steinhaus theorem and the Nikodym boundednes...

This paper studies the stability and boundedness of solutions of certain nonlinear third-order delay differential equations. Sufficient conditions for the stability and boundedness of solutions for the equations considered are obtained by constructing a Lyapunov functional. Mathematical subject classification: 34K20.

The main objective of this paper is to study the qualitative behavior for a class of nonlinear rational difference equation. We study the local stability, periodicity, Oscillation, boundedness, and the global stability for the positive solutions of equation. Examples illustrate the importance of the results Keywords— Difference equation, stability, oscillation, boundedness, globale stability an...

It is shown that the boundedness problem for a certain class of basic object nets and a corresponding class of multiset rewriting systems is decidable. To achieve this result Dickson’s Lemma for a certain class of multisets, and a modified Karp Miller algorithm, is applied. This presents another class of nets with different decidability behaviour for reachability and boundedness.