Revistas académicas de la Universidad Católica del Norte
Not a member yet
1687 research outputs found
Sort by
Stability in totally nonlinear neutral differential equations with variable delay using fixed point theory
No full textThe totally nonlinear neutral differential equation(d/ dt) (x(t))=−a(t)g(x(t−τ (t))) + (d/ dt)( G(t,x(t−τ (t)))),with variable delay τ(t) ≥ 0 is investigated. We find suitable conditions for t, a, g and G so that for a given continuous initial function 0 a mapping P for the above equation can be defined on a carefully chosen complete metric space S0ψ ; and in which P possesses a unique fixed point. The final result is an asymptotic stability theorem for the zero solution with a necessary and sufficient condition. The obtained theorem improves and generalizes previous results due to Becker and Burton [6]. An example is given to illustrate our main result
gw-S-prime submodules: gw-S-prime submodules
No full textLet R be a ring with identity and S ⊆ R be a multiplicative closed subset. Let M be an R-module. Sevim et al. [15] introduced the concept of S-prime submodule. A submodule P of M with (P :R M) ∩ S = ϕ is called an S-prime submodule if there is an s ∈ S such that am ∈ P implies sa ∈ (P :R M) or sm ∈ P. In this paper, we introduce the notion of gw-S-prime submodule. This class ofsubmodules is a generalization of S-prime submodules. We present some basic properties of gw-S-prime submodules. We also investigate the relationship of gw-Sprime submodule with valuation modules. We further study some propeties of gw-Sprimesubmodules under R-module homomorphism and direct product of modules
Existence of solutions for Kirchhoff-Type Second-Order Impulsive Differential Equations on the Half-Line via Critical Point Theory
No full textDisques j-holomorphes contenus dans une hypersurface
No full textWe study germs of J-Holomorphic curves contained in M, a real analytic hypersurface of an symplectic manifold of dimension 4- We show, under topological hypothesis on M, that if M is compact then M is of finite type and so there is no germs of J-holomorphic curves on M (with J adapted with the symplectic form). In C2 with the standard complex structure, this is a classical result of Diederich-Fornaess
Presentación
No full textEntregamos a la comunidad universitaria, al Magisterio de la Región y a estudiantes interesados por la Matemática, la primera Edición de la Revista del Departamento de Matemática de la Universidad del Norte: “Proyecciones”
Some results on SD-Prime cordial labeling
No full textGiven a bijection ʄ : V(G) → {1,2, …,|V(G)|}, we associate 2 integers S = ʄ(u)+ʄ(v) and D = |ʄ(u)-ʄ(v)| with every edge uv in E(G). The labeling ʄ induces an edge labeling ʄ'' : E(G) → {0,1} such that for any edge uv in E(G), ʄ '(uv)=1 if gcd(S,D)=1, and ʄ ' (uv)=0 otherwise. Let eʄ ' (i) be the number of edges labeled with i ∈ {0,1}. We say ʄ is SD-prime cordial labeling if |eʄ '(0)-e ʄ' (1)| ≤ 1. Moreover G is SD-prime cordial if it admits SD-prime cordial labeling. In this paper, we investigate the SD-prime cordial labeling of some derived graphs
Rough statistical convergence on triple sequences
No full textIn this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set. Later, we prove this set is closed and convex and also examine the relations between the set of rough statistical cluster points and the set of rough statistical limit points of a triple sequence
Hermite-Hadamard type fractional integral inequalities for generalized beta (r, g)-preinvex functions
No full textIn the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized beta (r, g)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see [1]), [2]), but also provide new estimates on these types
