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Approximation of generalized bounded solutions of evolution equations with unbounded operator

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Nonlinear Oscillations

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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    O. O. Pokutnyi

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  1. O. O. Pokutnyi
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Correspondence to O. O. Pokutnyi.

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Translated from Neliniini Kolyvannya, Vol. 14, No. 1, pp. 93–99, January–March, 2011.

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Pokutnyi, O.O. Approximation of generalized bounded solutions of evolution equations with unbounded operator. Nonlinear Oscill 14, 95–101 (2011). https://doi.org/10.1007/s11072-011-0144-2

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  • DOI: https://doi.org/10.1007/s11072-011-0144-2

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