Fw: new_abstracts 18 245

[Maria Odete Madeira]

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Subject: new_abstracts 18 245

NEW ABSTRACTS (Aug 23 to Aug 30)

==================== 18-90 ====================

Vitali Vougalter

On the solvability of some systems of integro-differential equations with anomalous diffusion

(167K, pdf)

ABSTRACT.  The article deals with the existence of solutions of a system of integro-

differential equations in the case of anomalous diffusion with the negative Laplacian

in a fractional power in two dimensions. The proof of existence of solutions relies

on a fixed point technique. Solvability conditions for elliptic operators without

Fredholm property in unbounded domains are used.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=18-90

http://mpej.unige.ch/mp_arc-bin/mpa?yn=18-90

http://www.maia.ub.es/mp_arc-bin/mpa?yn=18-90

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=18-90

==================== 18-91 ====================

Vitaly Volpert, Vitali Vougalter

Solvability in the sense of sequences for some non Fredholm operators with drift

(133K, pdf)

ABSTRACT.  We study solvability of certain linear nonhomogeneous elliptic equations

and prove that under reasonable technical conditions the convergence in L^2 of their right sides yields the existence and the convergence in H^2

of the solutions. The problems involve second order differential operators

with or without Fredholm property, on the whole real line or on a finite interval with periodic boundary conditions. We show that the drift term involved in these equations provides the regularization for the solutions

of our problems.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=18-91

http://mpej.unige.ch/mp_arc-bin/mpa?yn=18-91

http://www.maia.ub.es/mp_arc-bin/mpa?yn=18-91

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=18-91

==================== 18-92 ====================

Paul Federbush

A Set of Conjectured Identities for Stirling Numbers of the First Kind

(9K, latex)

ABSTRACT.  Given an integer g, g > 1, an integer w, -1 < w < g - 1, and a set of g distinct numbers, c_1, ..., c_g, we present a conjectured identity for Stirling numbers of the first kind. We have proven all the equalities in case g < 7; and for the case g = 7, provided w < 4. These expressions arise from an aspect of the study of the dimer-monomer problem on regular graphs.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=18-92

http://mpej.unige.ch/mp_arc-bin/mpa?yn=18-92

http://www.maia.ub.es/mp_arc-bin/mpa?yn=18-92

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=18-92