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Homogenizations of integro-differential equations with L{é}vy operators with asymmetric and degenerate densities
Homogenizations of integro-differential equations L{é}vy operators asymmetric degenerate densities
2010/12/31
We consider periodic homogenization problems for the L´evy operators with asymmetric L´evy densities. The formal asymptotic expansion used for the -stable (symmetric) L´evy operator...
On completeness of elementary generalized solutions of a class of operator-differential equations of a higher order
Hilbert space existence of generalized solution operator-differential equation
2008/2/20
In this paper we give definition of m-fold completeness and prove a theorem on completeness of elementary generalized solution of corresponding boundary value problems at which the equation describes ...