Search results for: Bianca Satco

Items from 1 to 11 out of 11 results

article

Extremal solutions for measure differential inclusions via Stieltjes derivatives

Giselle A. Monteiro, Bianca Satco

Advances in Difference Equations > 2019 > 2019 > 1 > 1-18

Stieltjes derivatives represent a new unification of discrete and continuous calculus consisting in a differentiation process with respect to a given non-decreasing function g. This notion infers a new class of differential equations which has shown to have many applications. Herein we explore the use of such derivatives in the study of multivalued equations, the so-called g-differential inclusions...

article

Measure Differential Inclusions Through Selection Principles in the Space of Regulated Functions

Mieczysław Cichoń, Kinga Cichoń, Bianca Satco

Mediterranean Journal of Mathematics > 2018 > 15 > 4 > 1-19

Using a characterization of the space of regulated functions on a compact interval [0, 1] endowed with the topology of uniform convergence as being isometrically isomorphic to some space of continuous functions, we get several theorems on the existence of regulated selections for multifunctions and we relate them with other known selection results. In particular, we prove a version of Michael’s selection...

article

Existence theory for semilinear evolution inclusions involving measures

Mieczysław Cichoń, Bianca Satco

Mathematische Nachrichten > 290 > 7 > 1004 - 1016

We provide existence results for semilinear differential inclusions involving measures: where A is the infinitesimal generator of a C₀‐semigroup

{T (t), t \geq 0}

of contractions on a separable Banach space X and

g : [0, 1] \to R

is a right‐continuous non‐decreasing function. The existence of mild solutions, as well as the compactness of the solution set are obtained via Kakutani–Ky Fan's fixed point theorem in...

article

Semilinear evolution equations with distributed measures

Adrian Petruşel, Bianca Satco

Fixed Point Theory and Applications > 2015 > 2015 > 1 > 1-18

The aim of the paper is to provide, by an approach based on the Mönch fixed point theorem, existence results for the semilinear evolution problem with distributed measures 1 { d x = ( − A x + f ( t , x ) ) d t + d g , t ∈ [ 0 , 1 ] , x ( 0 ) = x 0 , $$ \textstyle\begin{cases} dx=(-Ax+f(t,x))\,dt+dg, \quad t\in[0,1],\\ x(0)=x_{0}, \end{cases} $$ where −A is the infinitesimal...

article

Differential inclusions and multivalued integrals

Kinga Cichoń, Mieczysław Cichoń, Bianca Satco

Discussiones Mathematicae, Differential Inclusions, Control and Optimization > 2013 > 33 > 2 > 171-191

In this paper we consider the nonlocal (nonstandard) Cauchy problem for differential inclusions in Banach spacesx'(t) ∈ F(t,x(t)), x(0)=g(x), t ∈ [0,T] = I.Investigation over some multivalued integrals allow us to prove the existence of solutions for considered problem. We concentrate on the problems for which the assumptions are expressed in terms of the weak topology in a Banach space. We recall...

article

Solution tube method for impulsive periodic differential inclusions of first order

Bianca Satco

Nonlinear Analysis > 2012 > 75 > 1 > 260-269

The aim of this paper is to obtain an existence result for impulsive differential inclusions of first order with boundary conditions in Hilbert spaces under a hypothesis of integrability in the Henstock–Lebesgue sense for the multifunction on the right-hand side. The proof is based on the assumption that there exists a solution tube for the inclusion taken under consideration (this novel concept which...

article

Impulsive nonlocal differential equations through differential equations on time scales

Mieczysław Cichoń, Bianca Satco, Aneta Sikorska-Nowak

Applied Mathematics and Computation > 2011 > 218 > 6 > 2449-2458

We propose a non-standard approach to impulsive differential equations in Banach spaces by embedding this type of problems into differential (dynamic) problems on time scales. We give an existence result for dynamic equations and, as a consequence, we obtain an existence result for impulsive differential equations.

article

Performance evaluation of discrete event systems involving Henstock-Kurzweil integral

Calin Ciufudean, Bianca Satco

Journal of Systems Science and Systems Engineering > 2009 > 18 > 2 > 243-256

This paper presents a study on the performance of flexible manufacturing systems (FMSs), by using discrete event system (DES) models, considering resource losses modelled by a parameter entitled coverage factor. We conclude that the resources cell loss distribution between the tasks of a FSM is a real function that cannot be integrated, in order to calculate its primitive, in the classical sense of...

article

The Aumann-Gould Integral

Anca-Maria Precupanu, Bianca Satco

Mediterranean Journal of Mathematics > 2008 > 5 > 4 > 429-441

. We introduce and study a multi-valued integral of Aumann-type where the selectors are Gould integrals of real functions with respect to finitely additive vector-valued measures. We also discuss the relationship between this kind of integral and the M-Gould set-valued integral with respect to a finitely additive multimeasure M.

chapter

Reliability Markov Chains for Security Data Transmitter Analysis

Calin Ciufudean, Bianca Satco, Constantin Filote

The Second International Conference on Availability, Reliability and Security (ARES'7) > 886 - 894

Second International Conference on Availability, Reliability and Security (ARES'07)

Security communication systems composed of highly reliable components may have few if any failures while undergoing heavy testing or field-usage. This paper combines (i) analysis of randomized pulse modulation schemes based on finite Markov chains with (ii) security communication systems failure as a rare event with a finite-state, discrete-parameter, recurrent Markov chain that models the failures...

article

Volterra integral inclusions via Henstock-Kurzweil-Pettis integral

Bianca Satco

Discussiones Mathematicae, Differential Inclusions, Control and Optimization > 2006 > 26 > 1 > 87-101

In this paper, we prove the existence of continuous solutions of a Volterra integral inclusion involving the Henstock-Kurzweil-Pettis integral. Since this kind of integral is more general than the Bochner, Pettis and Henstock integrals, our result extends many of the results previously obtained in the single-valued setting or in the set-valued case.

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