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Start Over Author "Hefter S" Topic linear systems
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1. Entire Solutions of One Linear Implicit Differential-Difference Equation in Banach Spaces.

Author

Hefter, S. L. and Piven', O. L.

Subjects
EXISTENCE theorems, LINEAR systems, DIFFERENTIAL equations, DIFFERENCE equations, BANACH spaces
Abstract

We establish the existence and uniqueness conditions for the solution for the initial problemBu′z=Auz+h+fz,z∈ℂ,u0=u0in the classes of entire vector functions of exponential type. Closed linear operators A and B act on Banach spaces and can be degenerate. We present an example of application of abstract results to partial differential equations. [ABSTRACT FROM AUTHOR]

Published
2019
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