Revistas académicas de la Universidad Católica del Norte
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On the generating matrices of thee Κ-Fibonacci numbers
No full textIn this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Fibonacci numbers. And from the cofactor matrix of one of these matrices we will prove some formulas for the k-Fibonacci numbers differently to the traditional form. Finally, we will study the eigenvalues of these tridiagonal matrices
The stability of fuzzy approximately Jordan mappings
No full textIn this paper we introduce the concept of fuzzy approximately Jordan mappings in fuzzy algebras, and study some of their basic properties. The main purpose of this paper is to study the stability of fuzzy approximately Jordan mappings in fuzzy algebras
The Chetaev Theorem for Ordinary Difference Equations
No full textIn this work we obtain necessary conditions for the instability in the Lyapunov sense of equilibrium points of autonomous and nonautonomous difference equations through the adaptation of differential methods and techniques due to Chetaev [3]
Null controllability on Lie groups
No full textWe prove an extension of a classical result for null controllability of linear control systems on Euclidean spaces, to linear control systems on a connected Lie group G, assumed to be simply connected and nilpotent
On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
No full textIn this paper, we investigate the instability of solutions to a certain class of nonlinear vector functional differential equations of the eighth order with n-deviating arguments. We employ the Lyapunov-Krasovskii functional approach and base on the Krasovskii criteria to prove two new theorems on the topic. Our results improve certain results in the literature from scalar functional differential equations to their vectorial forms
On generalized preopen sets
No full textIn this paper, the notion of generalized preopen compactness is introduced and connections to other several types of compactness are discussed. In addition, new separation axioms are established
A new convergence analysis for the two-step Newton Method for order three
No full textWe present a tighter than before semilocal convergence analysis for the two-step Newton method of order three using recurrent functions.Numerical examples are also provided to show that our convergence criteria are satisfied but earlier studies such as in nine, thirteen, fifteen are not satisfied
On same refinements of companions Fejér's
No full textIn this paper some companions of Fejer’s inequality for superquadratic functions are given, we also get refinements of some known results proved in [18]
On Contra βθ-Continuous Functions
No full textIn this paper, we introduce and investigate the notion of contra βθ-continuous functions by utilizing β-θ-closed sets. We obtain fundamental properties of contra βθ-continuous functions and discuss the relationships between contra βθ-continuity and other related functions
On some seminormed sequence spaces defined by Orlicz function
No full textThe sequence space BVa was introduced and studied by Mursaleen. In this paper we extend BVa to BVa (M, p, q,r) on a seminormed complex linear space by using orlicz function. We give various properties and some inclusion relations on this space