Revistas académicas de la Universidad Católica del Norte
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On outgoing solutions for a system of time-harmonic elastic wave in the exterior of a star-shaped domain
No full textIn this work we consider the propagation of time-harmonic elastic waves outside of a star-shaped domain with a “linear velocity at the boundary”. We describe a new approach to investigate results of existence and uniqueness for this exterior problem. To this end, we used a method similar to the one discussed in [11, 12] which has its genesis in [13] and relies on a stationary approach of resonances. The fundamental step of our approach is to reduce the unbounded nature of the problem to a bounded domain introducing an auxiliary boundary condition of Dirichlet type. In particular, we find a large region in the complex plane which is “free” of resonances
Existence of solutions for unilateral problems with L¹ data in Orlicz spaces
No full textThis article is concerned with the existence result of the unilateral problem associated to equations of the typeAu + g(x, u, ?u) = f,in Orlicz spaces, where f ? L¹(?), the term g is a nonlinearity having natural growth and satisfying the sign condition. Some stability and positivity properties of solutions are proved
On automatic surjectivity of some additive transformations
No full textLet X be an infinite dimensional Banach space and let ? : B(X) ? B(X) be a spectrum preserving additive transformation. We show that if the image of quasi-nilpotent operators contains all quasi-nilpotent operators, then ? is an automophism or an antiautomorphism of B(X)
Weighted homogeneous map germs of corank one from C³ to C³ and polar multiplicities
No full textFor quasi-homogeneous and finitely determined corank one map germs f : (C³,0)?(C³,0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes for 7, to resolve the problem that decides the Whitney equisingularity of families of such maps germs. To finalize use these formulae to increase the list of invariants of some normal forms of f
Spectre d’ordre un pour un probleme hyperbolique et applications
No full textWe define and determine the spectrum of order one of the d’Alembertian operator. We resolve the Fredholm alternative and the nonlinear problem at resonance
Existence of periodic solutions of neutral functional differential equations with unbounded delay
No full textIn this work we establish a result of existence of periodic solutions for quasi-linear partial neutral functional differential equations with unbounded delay on a phase space defined axiomatically
Principal normal spectral variations of space curves
No full textIn the present paper, we give a similar spectral variational theory for closed curves in the Euclidean 3–space E3, considering deformations in the direction of the principal normal vector field. Similarly as in the planar case, the closed Euclidean space curves satisfying the corresponding variational minimal principle are characterized by their curvature being a function of finite Chen type; their torsion remains completely free
Les varietes biriemanniennes
No full textLet be a complete manifold with a ”parallel” foliation . We show that if this foliation and its orthogonal foliation admit eache one an ”unisection”, then the manifold is riemannian product of transverses leaves
Fuzzy normed linear space valued sequence space lpF (X)
No full textIn this article we define the notion of fuzzy normed linear space valued sequence space lFp (X), 1 ≤ p < ∞ in a fuzzy normed linear space X and discuss some of its properties like completeness, monotone, solidness, convergence free and symmetricity. Also we prove some inclusion results