Revistas académicas de la Universidad Católica del Norte
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A new approach for Volterra functional integral equations with non-vanishing delays and fractional Bagley-Torvik equation
A numerical technique for Volterra functional integral equations (VFIEs) with non-vanishing delays and fractional Bagley-Torvik equation is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are utilized to evaluate the accurate results. The findings for examples figs and tables show that the technique is accurate and simple to use
Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
In this paper, we consider a p-Laplacian eigenvalue boundary value problem involving both right Caputo and left Riemann-Liouville types fractional derivatives. To prove the existence of solutions, we apply the Schaefer’s fixed point theorem. Furthermore, we present the Lyapunov inequality for the corresponding problem
Continuity in fuzzy bitopological ordered spaces
The aim of the present paper is to introduce and study different forms of continuity in fuzzy bitopological ordered spaces. The concepts of different mappings such as pairwise fuzzy I -continuous mappings, pairwise fuzzy D -continuous mappings, pairwise fuzzy B -continuous mappings, pairwise fuzzy I -open mappings, pairwise fuzzy D -open mappings, pairwise fuzzy B -open mappings, pairwise fuzzy I -closed mappings, pairwise fuzzy D -closed mappings and pairwise fuzzy B -closed mappings have been introduced. Some of the basic properties and characterization theorems of these mappings have been investigated
P-adic discrete semigroup of contractions
Let A ∈ B(X) be a spectral operator on a non-archimedean Banach space over Cp. In this paper, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is contractions
On asymptotic behavior of solution to a nonlinear wave equation with Space-time speed of propagation and damping terms
In this paper, we consider the asymptotic behavior of solution to the nonlinear damped wave equation
utt – div(a(t, x)∇u) + b(t, x)ut = −|u|p−1u t ∈ [0, ∞), x ∈ Rn
u(0, x) = u0(x), ut(0, x) = u1(x) x ∈ Rn
with space-time speed of propagation and damping potential. We obtained L2 decay estimates via the weighted energy method and under certain suitable assumptions on the functions a(t, x) and b(t, x). The technique follows that of Lin et al.[8] with modification to the region of consideration in Rn. These decay result extends the results in the literature
Innovación social en la gestión del patrimonio cultural: una perspectiva napolitana
Italy has one of the greatest cultural heritages in the world, but nowadays it faces a severe crisis, in terms of its management and key resources (economic, human, financial, etc.). The work aims to contribute to the studies of social innovation, focusing, through a hybrid organizational approach, on the emergence of new actors. In addition to public and private management, the social enterprise applies a hybrid organizational form to the management of the cultural field, efficiently and effectively. The research shows that the observed social enterprises, in which social entrepreneurship and an innovative business model emerge, play an active role through a cooperative and collaborative attitude and respond to both individual and social needs. This is a preliminary study, which aims to show the cultural initiatives carried out by the social enterprise that have positive impacts, both social and economic, in terms of development of the local community and tourist attraction.Italia tiene uno de los mayores patrimonios culturales del mundo, pero hoy en día este enfrenta una fuerte crisis en términos de gestión y recursos clave (económicos, humanos, financieros, etc.). El trabajo pretende contribuir a los estudios de innovación social enfocándose, a través de una aproximación centrada en las organizaciones híbridas, en el surgimiento de nuevos actores. Adicionalmente a la gestión pública y privada, la empresa social aplica una forma organizativa híbrida a la gestión del campo cultural, de manera eficiente y eficaz. La investigación da cuenta de que las empresas sociales observadas, en las que surge el emprendimiento social y el modelo de negocio innovador, juegan un papel activo a través de una actitud cooperativa y colaborativa y responden a necesidades tanto individuales como sociales. Se trata de un estudio preliminar que tiene como objetivo mostrar las iniciativas culturales realizadas por la empresa social que tienen impactos positivos, tanto sociales como económicos, en términos de desarrollo de la comunidad local y atracción turística
Some hyperstability results of a p-radical functional equation related to quartic mappings in non-archimedean Banach spaces
The aim of this paper is to introduce and solve the following p-radical functional equation related to quartic mappings
where f is a mapping from R into a vector space X and p ≥ 3 is an odd natural number. Using an analogue version of Brzd¸ek’s fixed point theorem [13], we establish some hyperstability results for the considered equation in non-Archimedean Banach spaces. Also, we give some hyperstability results for the inhomogeneous p-radical functional equation related to quartic mapping
Weak implicative filters in quasi-ordered residuated systems
The concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure A = 〈A, ·,→, 1, R〉, where (A, ·) is a commutative monoid with the identity 1 as the top element in this ordered monoid under a quasi-order R. The author introduced and analyzed the concepts of filters and implicative filters in this type of algebraic structures. In this article, the concept of weak implicative filters in a quasi-ordered residuated system is introduced as a continuation of previous researches. Also, some conditions for a filter of such system to be a weak implicative filter are listed
λ-quasi Cauchy sequence of fuzzy numbers
In this paper we introduce the λ -quasi Cauchy sequence of fuzzy numbers. We obtain the relation between strongly λ-quasi Cauchy convergence and statistically λ -quasi Cauchy convergence for fuzzy numbers