Fw: new_abstracts 20 285

[Maria Odete Madeira]

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Subject: new_abstracts 20 285

NEW ABSTRACTS (Oct 1 to Oct 8)

==================== 20-90 ====================

Messoud Efendiev, Vitali Vougalter

Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion

(219K, pdf)

ABSTRACT.  We establish the existence in the sense of sequences of solutions for certain integro-differential type equations in two dimensions involving the normal diffusion in one direction and the anomalous diffusion in the

other direction in H^2(R^2) via the fixed point technique. The elliptic equation contains a second order differential operator without the Fredholm property. It is proved that, under the reasonable technical conditions, the convergence in L^1(R^2) of the integral kernels implies the existence and convergence in H^2(R^2) of the solutions.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=20-90

http://www.maia.ub.es/mp_arc-bin/mpa?yn=20-90

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=20-90