Semidiscretization schemes for the autonomous differential equations with noncompact semigroups using functionalizing parameter method

Irina Gurova

DOI: http://dx.doi.org/10.12775/TMNA.1999.041

Abstract


In the case of the abstract autonomous semilinear equation in a Banach
space we provide conditions which ensure that the approximate cycles
given by a semidiscretization method converge to the exact cycle.

Keywords


Semilinear equations; semidiscretization method; measure of noncompactness; noncompact semigroup; approximate cycles

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