Revistas académicas de la Universidad Católica del Norte
Not a member yet
1687 research outputs found
Sort by
New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
No full textIn the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant time-lag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS) of the trivial solutions of the (VIDEs) considered. The results obtained generalize, compliment and improve the existing results in the literature from the cases of the without delay to the more general cases with time-lag
Ostrowski type fractional integral inequalities for s-Godunova-Levin functions via k-fractional integrals
No full textIn this paper, we give some fractional integral inequalities of Ostrowski type for s-Godunova-Levin functions via Riemann-Liouville k- fractional integrals. We deduce some known Ostrowski type fractional integral inequalities for Riemann-Liouville fractional integrals and we also prove results for p-functions and Godunova-Levin functions by taking s=0 ans s=1 respectively
Función de Dulac en la Familia Loud
No full textEn este trabajo consideramos la familia Loud. Estudiamos la función de Dulac en un caso particular de esta familia. Calculamos el primer término del desarrollo de Dulac de esta función y determinamos que este desarrollo no tiene términos con logaritmos
Soft K−Proximity Spaces
No full textWe shall extend the notion of a K-proximity relation and its properties into a softK-proximity. We generate a soft k-proximity by a given k−proximity in dierent forms.Also, soft k-proximity mappings and its properties are considered
Structural balance and spectral properties of generalized corona product of signed graphs
No full textIn this paper, we extend our earlier proposal of corona product of signed graphs into generalized corona product of signed graphs inspired by the generalized corona product of unsigned graphs. Then we study structural balance and spectral properties of these graphs. Utilizing the notion of coronal of a graph, we determine computable formulae of characteristic, Laplacian, and signless Laplacian polynomials of generalized corona product of signed graphs. Finally, we provide sufficient conditions for the generalized corona product of some distinct collections of signed graphs to be co-spectral
Ulam Hyers Stability of Nonlocal Quantum Stochastic Differential Equations with Measure of Noncompactness
No full textThis research considers the study of the stability of the following quantum stochastic differential equation with impulsive effects and unbounded stochastic processes.
\begin{eqnarray*}
dz(t) &=& Az(t)dt+E(t, z(s))d\wedge_{\pi}(t) + F(t,z(t))dA_f(t) \\
&&+G(t,z(t))dA^+_g(t)+H(t, z(t))dt, \; \mbox{for almost all} \; t\in [0,T] \\
z(0)&=&g(z)\\
\Delta z(t_i)&=& I_i(z(t_i)), i=1, 2, ..., p; 0<t_1<t_2<...<t_p<T.
\end{eqnarray*}
The study employs the fixed point theorem with the measure of noncompactness to establish stability in the sense of Ulam-Hyers-Rassias. This method does not necessarily generalize previous stability results of quantum stochastic differential equations but complements and further enriches the theory of quantum stochastic differential equations
Lacunary I-convergent sequences of fuzzy real numbers
No full textIn 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