Volume 7 Issue 1 | Bulletin of the Belgian Mathematical Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

VOL. 7 · NO. 1 | 2000

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Front Matter

Table of Contents, Bull. Belg. Math. Soc. Simon Stevin, vol. 7, no. 1 (2000)

Bull. Belg. Math. Soc. Simon Stevin 7 (1), (2000) Open Access

No abstract available

Articles

On the regularity of solutions to the Poisson equation in Orlicz-spaces

E. Azroul, A. Benkirane, M. Tienari

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 1-12, (2000) DOI: 10.36045/bbms/1103055714 Open Access

KEYWORDS: {$N$}-functions, Orlicz spaces, distribution, Poisson equation, Newtonian potential, 35J05, 31B15

No abstract available

Caps embedded in the Klein quadric

A. Cossidente

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 13-19, (2000) DOI: 10.36045/bbms/1103055715 Open Access

KEYWORDS: Cyclic Singer group, caps, ovoids, Suzuki group, 51E22

No abstract available

On cup products in some manifolds

Ľubomíra Horanská, Július Korbaš

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 21-28, (2000) DOI: 10.36045/bbms/1103055716 Open Access

KEYWORDS: cup product, cup length, Lyusternik-Shireľman category, smooth fiber bundle, Grassmann manifold, fiber totally non-homologous to zero, Stiefel-Whitney characteristic class, 57R19, 55M30

No abstract available

A common characterization of ovoids, non-singular quadrics and non-singular Hermitian varieties in {${\rm PG}(d,n)$}

Paola Biondi

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 29-42, (2000) DOI: 10.36045/bbms/1103055717 Open Access

KEYWORDS: ovoid, quadric, Hermitian variety, 51E20

No abstract available

Second and higher order boundary value problems of nonsingular type

Ravi P. Agarwal, Donal O'Regan

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 43-52, (2000) DOI: 10.36045/bbms/1103055718 Open Access

KEYWORDS: 34B15

No abstract available

Generalized reduction of the Poincaré differential equation to Cauchy matrix form

Ice B. Risteski

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 53-60, (2000) DOI: 10.36045/bbms/1103055719 Open Access

KEYWORDS: Generalized reduction, Poincaré differential equation, Cauchy matrix form, 34A30, 34M99

No abstract available

Derivable affine planes and translation planes

Norbert Knarr

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 61-71, (2000) DOI: 10.36045/bbms/1103055720 Open Access

KEYWORDS: Derivation set, spread, translation plane, affine Hughes group, 51A05, 51A40, 51A45

No abstract available

On quenching of solutions for some semilinear parabolic equations of second order

Théodore K. Boni

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 73-95, (2000) DOI: 10.36045/bbms/1103055721 Open Access

KEYWORDS: quenching, asymptotic behavior, semilinear parabolic equation, 35K55, 35B40

No abstract available

Sur la stabilisation des systèmes non linéaires en cascade

A. Ferfera, M. A. Hammami

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 97-105, (2000) DOI: 10.36045/bbms/1103055722 Open Access

KEYWORDS: Cascade nonlinear systems, stabilization, Lyapunov function, Feedback, 93D15, 34H05

No abstract available

On the classical {$d$}-orthogonal polynomials defined by certain generating functions. I

Youssèf Ben Cheikh, Khalfa Douak

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 107-124, (2000) DOI: 10.36045/bbms/1103055723 Open Access

KEYWORDS: orthogonal polynomials, {$d$}-orthogonal polynomials, generating functions, recurrence relations, Hermite polynomials, Gegenbauer (ultraspherical) polynomials, Humbert polynomials, 33C45, 42C05

No abstract available

Minimal centroaffine immersions of codimension two

Hitoshi Furuhata

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 125-134, (2000) DOI: 10.36045/bbms/1103055724 Open Access

KEYWORDS: equi-centroaffine differential geometry, minimal immersions, Clifford torus, 53C42, 53A15

No abstract available

Formes faibles de moyennabilité pour les groupes à un relateur

Cédric Béguin, Tullio Ceccherini-Silberstein

Bull. Belg. Math. Soc. Simon Stevin 7 (1), 135-148, (2000) DOI: 10.36045/bbms/1103055725 Open Access

KEYWORDS: amenability, one-relator groups, HNN extensions, graphs of groups, reduced C*-algebra, ‎43A07‎, 20F05, 46L05

No abstract available

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