Nonlinear Oscillations

, Volume 14, Issue 1, pp 95–101 | Cite as

Approximation of generalized bounded solutions of evolution equations with unbounded operator

  • O. O. Pokutnyi

We substantiate a parametrization method for a differential equation in a Banach space with an unbounded operator coefficient. We propose an algorithm for finding bounded generalized solutions with an arbitrary order of accuracy.


Banach Space Cauchy Problem Operator Matrix Bounded Solution Unbounded Operator 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Institute of Mathematics, Ukrainian National Academy of SciencesKyivUkraine

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