Estimation of the norm of an operator inverse to a differential one

S. V. Maryushenkov

Chair of Mathematical Methods of Operations Research, Voronezh State University, Voronezh, Russia

Abstract: We obtain an estimate for the norm of an operator inverse to a differential one acting in Lebesgue spaces of functions defined on the positive real semiaxis.

Keywords: linear differential operator, differential equation with initial condition from a subspace, estimates of bounded solutions of a differential equation.

UDC: 517.937+517.983

Received: 20.12.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:1, 43–47

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