Scielo RSS <![CDATA[Proyecciones (Antofagasta)]]> vol. 34 num. 3 lang. en <![CDATA[SciELO Logo]]> <![CDATA[<strong>Lacunary I-convergent sequences of fuzzy real numbers</strong>]]> In this article we have studied on lacunary I-convergent sequences of fuzzy real numbers. We verify and establish some algebraic properties such as linearity, symmetric, convergence free etc. and also established some other results. <![CDATA[<strong>Holomorphically proyective Killing fields with vectorial fields associated in kahlerian manifolds</strong>]]> Taking into account the harmonic and scalar curvatures in the study of Killing transformations between spacial complex (Einstenian, Peterson-Codazzi, Recurrent) and kaehlerian M spaces with almost complex J structure, we prove that there exists an holomorphically proyective transformation between M spaces and complex spaces. <![CDATA[<strong>Stability in delay Volterra difference equations of neutral type</strong>]]> Sufficient conditions for the zero solution of a certain class of neutral Volterra difference equations with variable delays to be asymptotically stable are obtained. The Banach’s fixed point theorem is employed in proving our results. <![CDATA[<strong>Skolem Difference Mean Graphs</strong>]]> A graph G = (V, E) with p vertices and q edges is said to have skolem difference mean labeling if it is possible to label the vertices x ∈ V with distinct elements f (x) from 1, 2, 3,. . . ,p + q in such a way that for each edge <img src="http:/fbpe/img/proy/v34n3/art04_for1.jpg" width="300" height="42"> and the resulting labels of the edges are distinct and are from 1, 2, 3, . . . ,q. A graph that admits a skolem difference mean labeling is called a skolem difference mean graph. In this paper, we prove <img src="http:/fbpe/img/proy/v34n3/art04_for2.jpg" width="300" height="46"> T ( K1,n1 : K1,n2: . . . : K1,nm›, T ‹ K1,n1 o K1,n2 o o o K1,nm), <img src="http:/fbpe/img/proy/v34n3/art04_for4.jpg" width="300" height="44"> are skolem difference mean graphs. <![CDATA[<strong>Asymptotic stability in totally nonlinear neutral difference equations</strong>]]> In this paper we use fixed point method to prove asymptotic stability results of the zero solution of the totally nonlinear neutral difference equation with variable delay ∆ x (n) = -a (n) f (x (n - τ (n))) + ∆g (n, x (n - τ (n))). An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006) [23], Yankson (2009) [27], Jin and Luo (2009) [17] and Chen (2013) [9]. <![CDATA[<strong>Ramanujan’s fifth order and tenth order mock theta functions - a generalization</strong>]]> A generalization of Ramanujan’s fifth order and tenth order mock theta functions is given. It is shown that these belong to the family of Fq-functions. Using the properties of Fq-functions, relationship is given between these generalized fifth order mock theta functions of the first group with the generalized functions of the second group. The same is done for the generalized functions of the tenth order. q-Integral representation and multibasic expansions are also given. <![CDATA[<strong>Functional</strong><strong> equations of Cauchy’s and d’Alembert’s Type on Compact Groups</strong>]]> Using the non-abelian Fourier transform, we find the central continuous solutions of the functional equation <img src="http:/fbpe/img/proy/v34n3/art07_for1.jpg" width="300" height="47"> where G is an arbitrary compact group, <img src="http:/fbpe/img/proy/v34n3/art07_for2.jpg" width="200" height="43"> and σ is a continuous automorphism of G, such that σn = I. We express the solutions in terms of the unitary (group) characters of G.