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Title of Article

APPLICATION OF THE THEORY OF GENERALIZED OPERATOR EXPONENTS TO THE SOLUTION OF OPERATOR EQUATIONS IN LOCALLY CONVEX SPACES


Issue
4
Date
2014

Article type
scientific article
UDC
517.98
Pages
291-297
Keywords
differential-operator equation, locally convex space, operator order, operator type


Authors
Manko S.N.
Orlovskiy gosuniversitet


Abstract
A method is described which finds the solutions of operator equations of the form using vector-valued analytic functions. The study is conducted by the characteristics (an order and a type) of the operator , as well as operator orders and vector types of the locally convex space relative to the operator .

File (in Russian)