Sumario:
Revista Matemática Complutense
Servicio de Publicaciones de la Universidad Complutense de Madrid
Vol 16 Nº 2 (2003)
Más información/Texto completo en http://revistas.ucm.es/portal/ ....

Índice 371
An Ostrowski like inequality for convex functions and applications DRAGOMIR, Sever S. 373
Palabras Clave: Ostrowski type inequalities, Convex functions, HermiteHadamard type inequalities Resumen: In this paper we point out an Ostrowski type inequality for convex functions which complement in a sense the recent results for functions of bounded variation and absolutely continuous functions. Applications in connection with the HermiteHadamard inequality are also considered.
Hypercyclic operators with an in¯nite dimensional closed subspace of periodic points GRIVAUX, Sophie 383
Palabras Clave: Hypercyclic operators, chaotic operators Resumen: Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.
The starlikeness and convexity of multivalent functions involving certain inequalities IRMAK, HÄuseyin  RAINA, R. K. 391
Palabras Clave: Open unit disc, analytic, multivalently starlike, multivalently convex, and Jack's Lemma Resumen: In the present paper, a theorem for the starlikeness and convexity of multivalent functions involving certain inequalities is given. Some interesting consequences of the main result are also mentioned.
On the strict convexity of the BesicovitchOrlicz space of almost periodic functions with Orlicz nor MORSLI, Mohamed  BEDOUHENE, Fazia 399
Palabras Clave: Strict convexity, BesicovitchOrlicz space, almost periodic functions Resumen: The problem of strict convexity of the BesicovitchOrlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function Á generating the space.
Boundary stabilization of the linear elastodynamic system by a Lyapunovtype method BEY, RAbah  HEMINNA, Amar  LOHÉAC, JeanPierre 417
Palabras Clave: Elastodynamic system, boundary stabilization, feedback Resumen: We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a “natural" feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spacial domain can be the difference of two starshaped sets.
Fundamental solutions and singular shocks in scalar conservation laws CHASSEIGNE, Emmanuel 443
Palabras Clave: Conservation laws, fundamental solutions, singular solutions Resumen: We study the existence and nonexistence of fundamental solutions for the scalar conservation laws ut + f(u)x = 0; related to convexity assumptions on f. We also study the limits of those solutions as the initial mass goes to infinity. We especially prove the existence of socalled Friendly Giants and Infinite Shock Solutions according to the convexity of f, which generalize the explicit power case f(u) = um. We introduce an extended notion of solution and entropy criterion to allow infinite shocks in the theory, and the initial data also has to be understood in a generalized sense, since locally infinite measures appear.
A Dirichlet problem with asymptotically linear and changing sign nonlinearity LUCIA, Marcello  MAGRONE, Paola  ZHOU, HuanSong 465
Palabras Clave: Elliptic equation, Asymptotically linear nonlinearity, Mountain Pass Theorem Resumen: This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a bounded domain ; with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
On some nonlinear elliptic systems with coercive perturbations in RN EL MANOUNI, Said  TOUZANI, Abdelfattah 483
Palabras Clave: Nonlinear elliptic system, coercive perturbation, PalaisSmale condition, Mountain Pass Theorem Resumen: A nonlinear elliptic system involving the pLaplacian is considered in the whole RN: Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.
The dynamics of a levitated cylindrical permanent magnet above a superconductor SCHREINER, Michael 495
Palabras Clave: Superconductor, Meissner effect, levitated permanent magnet, rotating permanent magnet Resumen: When a permanent magnet is released above a superconductor, it is levitated. This is due to the Meissnereffect, i.e. the repulsion of external magnetic fields within the superconductor. In experiments, an interesting behavior of the levitated magnet can be observed: it might start to oscillate with increasing amamplitude and some magnets even reach a continuous rotation. In this paper we develop a mathematical model for this effect and identify by analytical methods as well with ¯nite element simulations two reasons for the described behavior of the levitated magnet. It is shown, that the oscillations of the magnet are due to inhomogeneities of the magnetization within the magnet, whereas the continuous rotations are due to temperature gradients of the surrounding air.
Theoretical aspects of a multiscale analysis of the eigenoscillations of the earth MICHEL, Volker 519
Palabras Clave: CauchyNavier equation, wavelets, multiresolution, Helmholtz equation,Hansen vectors, geomathematics Resumen: The elastic behaviour of the Earth, including its eigenoscillations, is usually described by the CauchyNavier equation. Using a standard approach in seismology we apply the Helmholtz decomposition theorem to transform the Fourier transformed CauchyNavier equation into two noncoupled Helmholtz equations and then derive sequences of fundamental solutions for this pair of equations using the Mie representation. Those solutions are denoted by the Hansen vectors Ln;j , Mn;j , and Nn;j in geophysics. Next we apply the inverse Fourier transform to obtain a function system depending on time and space. Using this basis for the space of eigenoscillations we construct scaling functions and wavelets to obtain a multiresolution for the solution space of the CauchyNavier equation.
On reduced pairs of bounded closed convex sets GRZYBOWSKI, Jerzy  URBANSKI, Ryszard 555
Palabras Clave: Convex analysis, pairs of convex sets Resumen: In this paper certain criteria for reduced pairs of bounded closed convex set are presented. Some examples of reduced and not reduced pairs are enclosed.
Constructions of thintall Boolean spaces MARTÍNEZ, Juan Carlos 561
Palabras Clave: Scattered space, thintall, partitions, Δfunctions, walks, forcing, constructibility Resumen: This is an expository paper about constructions of locally compact, Hausdorff, scattered spaces whose CantorBendixson height has cardinality greater than their CantorBendixson width.
Open 3manifolds, wild subsets of S3 and branched coverings MONTESINOSAMILIBIA, Jose María 577
Palabras Clave: Wild knots, open manifolds, branched coverings Resumen: In this paper, a representation of closed 3manifolds as branched coverings of the 3sphere, proved in [13], and showing a relationship between open 3manifolds and wild knots and arcs will be illustrated by examples. It will be shown that there exist a 3fold simple covering p : S3 ! S3 branched over the remarkable simple closed curve of Fox [4] (a wild knot). Moves are defined such that when applied to a branching set, the corresponding covering manifold remains unchanged, while the branching set changes and becomes wild. As a consequence every closed, oriented 3manifold is represented as a 3fold covering of S3 branched over a wild knot, in plenty of different ways, confirming the versatility of irregular branched coverings. Other collection of examples is obtained by pasting the members of an infinite sequence of twocomponent stronglyinvertible link exteriors. These open 3manifolds are shown to be 2fold branched coverings of wild knots in the 3sphere Two concrete examples, are studied: the solenoidal manifold, and the Whitehead manifold. Both are 2fold covering of the euclidean space R3 branched over an uncountable collection of string projections in R3.
