Revistas académicas de la Universidad Católica del Norte
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On graded G2-absorbing and graded strongly G2-absorbing second submodules
No full textIn this paper, we introduce the concepts of graded G2-absorbing and graded strongly G2-absorbing second submodules of graded modules over graded commutative rings. We give a number of results concerning these classes of graded submodules and their homogeneous components
A note on m-Zumkeller cordial labeling of graphs
No full textLet G(V,E) be a graph. An m-Zumkeller cordial labeling of the graph G is defined by an injective function f:V -> N such that there exists an induced function f*:E -->{0,1} defined by f* (uv)=f(u).f(v) that satisfies the following conditions:i) For every uv in E,
f*(uv)= ii) |ef*(0)-ef*(1)|<=1where ef*(0) and ef*(1) denote the number of edges of the graph G having label 0 and 1 respectively under f*.In this paper we prove that there exist an m -Zumkeller cordial labeling of graphs viz., (i) paths (ii) cycles (iii) comb graphs (iv) ladder graphs (v) twig graphs (vi) helm graphs (vii) wheel graphs (viii) crown graphs (ix) star graphs
Equivalence of categories of simple Lie algebras in positive characteristic
No full textIn this paper we first study some properties of the finite-dimensional simple restricted Lie algebras. In the literature is found a one-to-one correspondence between them and finite-dimensional simple Lie algebras over a field of positive characteristic. Motivated by this fact, we give a one-to-one correspondence between their morphisms, which allow us to conclude that such categories are equivalent
On the zeros of certain polynomials and entire functions
No full textEntire functions whose coefficients are polynomials having real and negative roots are built from Touchard polynomials. The particular set of polynomials
is shown to have purely complex roots, where we show a connection of these polynomials with certain approximations of the Riemann’s zeta function. Also a certain class of Fourier transforms is shown to have only real roots
On uniform-ultimate boundedness and periodicity results of solutions to certain second order non-linear vector differential equations
No full textIn this paper, we employ the second method of Lyapunov to examine sufficient conditions for the uniform-ultimate boundedness of solutions and existence of at least one periodic solution to the following second order vector differential equation:
Ẍ+ F(X, Ẋ ) Ẋ + H(X) = P(t, X, Ẋ ),
when the non-linear term H(X) is: (i) differentiable, (ii) non-necessarily differentiable. The results contain in this paper are new and complement related ones in the literature
Hermite Wavelets Collocation Method for solving a Fredholm integro-differential equation with fractional Caputo-Fabrizio Derivative
No full textIn this paper, we investigate the numerical study of nonlinear Fredholm integro-differential equation with the fractional Caputo-Fabrizio derivative. We use the Hermite wavelets and collocation technique to approximate the exact solution by reducing the Fredholm integro-differential equation to a nonlinear algebraic system. Furthermore, we applied this numerical method on certain examples to check its accuracy and validity
Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
No full textIn this note, starting with a lemma, we obtain several extensions of the
well-known Hermite-Hadamard inequality for convex functions, using
generalized weighted integral operators
Sustainability of a system of two competing prey and a predator in polluted environment
No full textIn this study, a general model of interacting species consisting of two competing prey and a predator under the presence of pollution is formed. Criteria for the existence of equilibria and their (local and global) stability are derived. The conditions for persistence and bifurcation have also been derived. With the help of numerical simulation, it is shown how the change in the pollution level results in species extinction
Fuzzy Sᵦ-compactness and fuzzy Sᵦ-closed spaces
No full textThe aim of this paper is to introduce the notion of fuzzy Sβ -compactness. Some of the basic properties and characterization theorems would be investigated of this newly defined compactness in fuzzy setting. We would also introduce and study fuzzy Sβ - closed spaces
How to draw the graphs of the Exponential, Logistic, and Gaussian functions with pencil and ruler in an accurate way
No full textIn this work, we will give a novel method to construct a continuous approximation of the Exponential, Logistic, and Gaussian functions that allow us to do a handmade drawing of their graphs for which there is no accuracy of drawing at elementary levels (even at advanced ones!). This method arises from solving the elementary ordinary differential equation x0 (t) = ax(t) combined with a suitable piecewise constant argument. The proposed approximation will allow us to generate several numerical schemes in an elementary way, generalizing the classical ones as, Euler’s schemes. No sophisticated mathematical tools are needed