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Fractional boundary value problems on the half line

Frioui A., Guezane-Lakoud A., Khaldi R.

Opuscula Mathematica

2017

Vol. 37, no. 2

265--280

In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.

Asymptotic of Lp extremal polynomials off the unit circle

Khaldi R.

Demonstratio Mathematica

2005

Vol. 38, nr 3

623--632

Let sigma be a positive measure whose support is the unit circle gamma plus a denumerable set of mass points, which accumulate at gamma and satisfy Blaschke^s condition. We study the asymptotics of Lp extremal polynomials (0 < p < oo) in the region exterior to r under Szego's condition.